A company produces a product with annual demand 5000 units The holding cost is lof units per year production cost is 150 . for each production cycle. The machines produce have capacity of 7500 units per year. The number of working days in a year is 250 for this inventory model with continuous supply find:
- Optimal production quantity. - Time between 2 production cycles. - Maximum level of the inventory. - Total minimal yearly cost. - Lelustrate the model graphically.
Answers
In this the maximum level of inventory is 1250 units, and the total minimal yearly cost is $25,000.
To determine the optimal production quantity, we need to find a balance between the holding cost and the production cost. The holding cost is given as a function of the number of units, and the production cost is constant at $150 per cycle. The machines have a capacity of 7500 units per year, and the annual demand is 5000 units. Since the demand is less than the machine capacity, we need to produce the full demand each cycle to minimize the holding cost. Thus, the optimal production quantity is 5000 units.
The time between two production cycles can be calculated by dividing the number of working days in a year (250 days) by the number of cycles per year. Since we produce 5000 units per cycle and the annual demand is 5000 units, there is only one production cycle per year. Therefore, the time between two production cycles is 250/1 = 250 days.
The maximum level of inventory occurs just after production and is equal to the production quantity. Hence, the maximum level of inventory is 5000 units.
The total minimal yearly cost can be calculated by multiplying the holding cost per unit by the average inventory level throughout the year. Since the average inventory level is half of the maximum level (5000/2 = 2500 units), the total minimal yearly cost is (2500 * lof) + ($150 * 1) = $25,000.
To illustrate the model graphically, you can create a plot with the number of days on the x-axis and the inventory level on the y-axis. The plot will show a horizontal line at the maximum inventory level of 5000 units, indicating the production time. After production, the inventory level drops to zero until the next production cycle. This cycle repeats throughout the year, resulting in a sawtooth pattern on the graph.
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Related Questions
5(6x - 2x) = 4 (-5 -3x)
Answers
Answer:
x = 5 I did that on my test today
When designing a roller coaster, engineers need to know about geometry and
how to use angles that will support the ride. Engineers take into account the
materials used, the height of the roller coaster, and whether or not there are
inversions, or loops, in the roller coaster when deciding the angle measures
needed to support the coaster. They may use different combinations of vertical
and adjacent angles to ensure the safety of the ride.
Explain the difference between vertical angles and adjacent angles.
Answers
There are two distinct sorts of angles created by two intersecting lines or rays: vertical angles and neighboring angles.
What are the lines?Vertical angles are a pair of opposing angles with different rays on their sides but a same vertex. In other words, they are generated by the intersection of two opposing lines or rays. The measurements of vertical angles are equivalent, therefore if one angle is x degrees, the other will also be x degrees.
On the other hand, adjacent angles are two angles that have a similar vertex and side. In other words, they share a side but do not overlap since they are created by two lines or rays that intersect.
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Evaluate ∫ (x - y z - 2) ds where c is the straight-line segment x = t, y = (1 - t), z = 1, from (0, 1, 1) to (1, 0, 1).
Answers
The evaluated integral ∫(x - yz - 2) ds is equal to √(2) * [t²/2 - 3t] + C, where C is the constant of integration.
Let's denote the parametric equations for the line segment as follows: x = x(t) y = y(t) z = z(t)
Since we are given the points (0, 1, 1) and (1, 0, 1) as the endpoints of the line segment, we can determine the equations for x(t), y(t), and z(t) by interpolating between these two points.
For the x-coordinate, we observe that it varies linearly from 0 to 1 as t ranges from 0 to 1. Therefore, we can set: x(t) = t
For the y-coordinate, it decreases linearly from 1 to 0 as t increases from 0 to 1. Hence, we have: y(t) = 1 - t
The z-coordinate remains constant at 1 throughout the line segment, so we can set: z(t) = 1
The arc length ds can be calculated using the formula:
ds = √(dx/dt² + dy/dt² + dz/dt²) dt
To find dx/dt, dy/dt, and dz/dt, we differentiate the parametric equations x(t), y(t), and z(t) with respect to t, respectively.
dx/dt = 1 dy/dt = -1 dz/dt = 0
Now we substitute these derivatives into the arc length formula to get: ds = √(1² + (-1)² + 0²) dt ds = √(2) dt
Finally, we can rewrite the integral in terms of t and substitute the expression for ds: ∫(x - yz - 2) ds = ∫(t - (1 - t) * 1 - 2) √(2) dt = ∫(t - 1 + t - 2) √(2) dt = ∫(2t - 3) √(2) dt
To evaluate this integral, we can integrate term by term:
= √(2) * [t²/2 - 3t] + C
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Can I drink some nice internet juice
Answers
Answer: Um sure you can
A knife is three time more than a spon
9 spoon and 12 knives cost 82. 80
work out cost of 1 knife
Answers
The cost of one knife will be 5.23 which is calculated by using the given information about knives and spoons.
From the given information in the question we can form two equations:
We will consider the variables representing the cost of spoons and knives as k and f respectively.
now we will build the equations to find out the relation between knives and spoons from the given information.
k = s + 3
As the cost of knives is three times more than spoons we add 3 to the cost of spoons
the other information given is about the sum of 9 spoons and 12 knives
which we will write as:
9s + 12k = 82.80
By substituting the first equation in the second equation we will get an equation containing only one variable which is easier to solve
9s + 12(s + 3) = 82.80
9s + 12s + 36 = 82.80
21s = 82.80 - 36
21s = 46.8
s = 46.8 / 21
s = 2.23
now by substituting the value of s in the first equation
k = s + 3
k= 2.23 + 3
k = 5.23
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What is the measure of the indicated angle?
Answers
Find the negative square root of
-25/36
Answers
Step-by-step explanation:
I hope that helped you to answer this question
The result for the negative square root of \(\frac{-25}{36}\) is \(\frac{5}{6}i\).
Complex NumberA complex number is represented by the following form: a+bi, where a and b are real numbers. The variables: a is the real part and bi imaginary part. See an example: 5 + 2i , then: 5 represents the real part and 2i represents the imaginary part.
Regarding operations math, the same properties used for real numbers can be applied to complex numbers. And for solving the operations math with these numbers, it is important to know that i²= -1, consequently \(\sqrt{-1} =i\). Thus, 2i² = 2*(-1)= -2.
Thus, to find the negative square root of -25/36. You should write:
\(\sqrt{-\frac{25}{36} }\), knowing that \(\sqrt{25}\)=5 and \(\sqrt{36} =6\). Thus,
\(\sqrt{-\frac{25}{36} }\)=\(\frac{5}{6} *\sqrt{-1}\), like \(\sqrt{-\frac{25}{36} }\)=\(\frac{5}{6} *\sqrt{-1}\), you have:
\(\sqrt{-\frac{25}{36} }\)=\(\frac{5}{6}\)*i
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Michael went shopping with x dollars. He spent $7 on a toy. How much money does he have left?
Answers
Answer:
bro let me tell you rn, your teacher (or whoever made this) took 9 hits off of a crack pipe before writing this question.
Answer:
The equation would be x-7=total
Step-by-step explanation:
He has x dollars and spends 7 so you would write x-7= ? and since we dont know x or the amount left we would write x-7=total.
HOPE THAT HELPS!!!
What is the value of x? enter your answer in the box. x = cm
Answers
The value of x in the given equation will be 2/5
From the data,
We have to determine the value of x.
The given equation is: 18x-16=-12x-4
For determining the value of x, we will first shift the like terms on one side of the equation.
So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.
So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,
We will get it as:
18x+12x = -4+16
30x=12
Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.
So, the value of x will be = 12/30 = 2/5
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The correct question may be:
What is the value of x
18x-16=-12x-4
Enter your answer in the box.
to determine if there is a relationship between skin color and beauty judgements, one researcher conducted a study with a random sample of 300 black women. they were given three pictures of super models with varying skin tones: dark (nyakim gatwech), medium (adriana lima), and light (natalia vodianova). each woman was asked to rank them from most to least beautiful. here are the results: dark skin medium skin light skin 1st 55 45 35 2nd 10 45 50 3rd 40 15 5 question 4 of 7 question 4this is not a form; we suggest that you use the browse mode and read all parts of the question carefully. what is the expected count of women who ranked the dark skinned model as being the most beautiful (ranked as
Answers
The expected count of women who ranked the dark-skinned model as the most beautiful is 100.
Since there are three models, we would expect 100/3 = 33.33% of the women to have ranked each model as the most beautiful if there were no relationship between skin color and beauty judgements. Thus, we can calculate the expected count of women who ranked the dark-skinned model as the most beautiful as follows:
Expected count = 300 * 33.33% = 100
Therefore, we can expect that 100 women out of the 300 sampled would have ranked the dark-skinned model as the most beautiful if there were no relationship between skin color and beauty judgements. The observed count of 55 women who ranked the dark-skinned model as the most beautiful is higher than the expected count, which suggests that there may be a relationship between skin color and beauty judgements. However, further statistical tests would be needed to confirm this.
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HELPPPP NOWWWW!!!!!A music teacher asked 23 students in the band how many hours they practiced playing their
instrument each week. The results are shown in the dot plot. Which statement best describes
the data?
The data are skewed left, so most students' practice times are
less than the mean practice time.
Time Spent Practicing
The data are skewed left, so most students' practice times are
more than the mean practice time.
.
.
1 1.5 2 2.5 3 3.5 4 4.5 5
Hours
The data are skewed right, so most students' practice times are
more than the mean practice time.
The data are skewed right, so most students' practice times are
less than the mean practice time.
Answers
Answer:
a. The data are skewed left, so most student's practice times are more than the mean practice time.
b. The data are skewed left, so most student's practice times are less than the mean practice time.
c. The data are skewed right, so most student's practice times are less than the mean practice time.
d. The data are skewed right, so most student's practice times are more than the mean practice time.
Answer:
The correct option is a.
The data are skewed left, so most student's practice times are more than the mean practice time.
Step-by-step explanation:
Refer to the attached box plot which shows number of hours the students spent on practice for playing their instrument each week.
When the data distribution is not symmetric around the mean then it is either skewed to right or skewed to left.
The given box plot is skewed to the left since the tail of the distribution on the left side is longer than the right side or in other words, most of the data is leaning to the right side of the curve.
Due to this, most student's practice times are more than the mean practice time.
A left skewed distribution is also known as negatively skewed distribution.
Therefore, we can conclude that the correct option is a.
a. The data are skewed left, so most student's practice times are more than the mean practice time.
Step-by-step explanation:
The terminal side of an angle in standard position passes through P(-3,-4). What is the value of tan0
Answers
Since the terminal side of the angle passes through P(-3,-4), we can use the coordinates of P to determine the values of x and y. The x-coordinate is -3, and the y-coordinate is -4.
Next, we can find the length of the hypotenuse (r) using the Pythagorean theorem:
r = sqrt((-3)^2 + (-4)^2) = 5
Therefore, the length of the side opposite to the angle (y-coordinate) is -4, and the length of the side adjacent to the angle (x-coordinate) is -3.
Now we can calculate the value of tan(θ):
tan(θ) = opposite/adjacent = (-4)/(-3) = 4/3
Therefore, the value of tan(θ) is 4/3.
A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths
Answers
Answer:
Option A
Step-by-step explanation:
The equation of line is
Solution:
Given that line passes through the point (4, –6) and has a slope of Negative three-fourths
Given point is (x, y) = (4, -6)
The equation of line passing through point (x, y) and slope "m" is given as:
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Substitute (x, y) = (4, -6) and in eqn 1
The required equation of line is given as:
Thus the equation of line is found
Answer:
a
Step-by-step explanation:
The polynomial function A(t) = 0.003631 +0.03746t? +0.10121 + 0.009 gives the approximate blood alcohol concentration in a 170-lb woman t hours after drinking 2 oz of alcohol on an empty stomach, fort in the interval [0,5). a. Approximate the change in alcohol level from 3 to 3.2 hours. b. Approximate the change in alcohol level from 4 to 4.2 hours. a. Let y = A(t). Which expression correctly approximates the change in alcohol level from 3 to 3.2 hours? O A. 0.2A (3) OB. 0.2A (3.2) OC. A'(3) OD. A'(3.2) l. The approximate change in alcohol level from 3 to 3.2 hours is (Round to three decimal places as needed.) . b. The approximate change in alcohol level from 4 to 4.2 hours is (Round to three decimal places as needed.)
Answers
a. To approximate the change in alcohol level from 3 to 3.2 hours and the correct expression is OC: A'(3).
For this we need to calculate the difference between the values of A(t) at t = 3.2 and t = 3. The expression that correctly approximates this change is given by: A'(3) * 0.2, where A'(t) is the derivative of A(t) with respect to t. Therefore, the correct expression is OC: A'(3).
b. Similarly, to approximate the change in alcohol level from 4 to 4.2 hours, we need to calculate the difference between the values of A(t) at t = 4.2 and t = 4. The expression that correctly approximates this change is again given by: A'(4) * 0.2. Therefore, the correct expression is also OC: A'(4).
To calculate the approximate changes in alcohol level, we need to find the derivative of A(t) with respect to t:
A'(t) = 0.03746 + 0.20242t
a. The approximate change in alcohol level from 3 to 3.2 hours is:
A'(3) * 0.2 = (0.03746 + 0.20242(3)) * 0.2 ≈ 0.118
Therefore, the approximate change in alcohol level from 3 to 3.2 hours is 0.118.
b. The approximate change in alcohol level from 4 to 4.2 hours is:
A'(4) * 0.2 = (0.03746 + 0.20242(4)) * 0.2 ≈ 0.149
Therefore, the approximate change in alcohol level from 4 to 4.2 hours is 0.149.
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given f(x) = x^4 – 3x^3 x – 3. what is limit of f (x) as x approaches negative 2?
A. –45
B. –13
C. 3
D. 35
Answers
After considering the given data we conclude that the evaluated limit of the given function is 35, which is option D
Here we have to apply the principle of evaluating function using a dedicated value.
Given \(f(x) = x^4 - 3x^3 x - 3,\)we need to evaluate the limit of f(x) as x approaches negative 2.
To evaluate the limit, we can simply substitute x = -2 into the function:
\(f(-2) = (-2)^4 - 3(-2)^3(-2) - 3 = 16 + 24 - 2 - 3 = 35\)
Therefore, the limit of f(x) as x approaches negative 2 is 35.
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Select the correct answer.
Which equation describes the line graphed above?
A. y=-4x-5
B.y=-1/5x-4
C.y=-5x-4
D.y=-4x-1/5
Answers
Answer:b
Step-by-step explanation:slope is -1/5. Rise over run, so you go down 1, and right 5
To make lemonade, I use a ratio of $7$ parts water to $1$ part lemon juice. If I want to make a gallon of lemonade, and there are four quarts in a gallon, how many quarts of water do I need
Answers
Answer:
3 1/2 quarts
Step-by-step explanation:
The fraction of the lemonade that is water can be determined from the ratio of water to lemon juice. That fraction of a gallon is the quantity of interest.
Water fractionOf the 7+1 = 8 parts that make up the lemonade, 7 of those are water. That is, water is 7/8 of the lemonade.
Water quantityOf the 4 quarts of lemonade, the quantity that is water will be ...
(7/8)(4 quarts) = 7/2 quarts = 3 1/2 quarts . . . of water
Maria checks that her kitchen stove is turned off dozens of times before leaving home, and she is convinced if she doesn't, her house will burn down. Maria is exhibiting the _______ symptoms of obsessive-compulsive disorder (OCD). quziklet
Answers
Maria is exhibiting the compulsive symptoms of obsessive-compulsive disorder (OCD), characterized by repetitive behaviors or rituals performed to reduce anxiety or prevent a feared outcome.
Obsessive-compulsive disorder (OCD) is a mental health disorder characterized by intrusive, unwanted thoughts (obsessions) and repetitive behaviors or mental acts (compulsions). These obsessions and compulsions can cause significant distress and interfere with daily functioning.
In Maria's case, her repetitive checking behavior, specifically ensuring that her kitchen stove is turned off, is a compulsive symptom of OCD. She feels compelled to perform this interest repeatedly to alleviate her fear and anxiety of her house burning down. The belief that not checking the stove will lead to a catastrophic outcome is a common feature of OCD, where individuals assign excessive significance to certain thoughts or actions.
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Solve for variable c
6c x 88 - 93 = 67
Answers
6c X 88 = 93+67
528c=160
C=0,303030303030303
i’m in a hurry PlSSS ANYONEEW ?????
Answers
Triangle similarity and congruence! * Pic included
Answers
Answer:
Yes, beacuse the ratios of the corresponding sides are equal.
Step-by-step explanation:
12/36 = 0.33
10/30 = 0.33
15/45 = 0.33
Also do stepbystep pls
Answers
Answer:
-25
Step-by-step explanation:
\(-5^2=-25\)
HELP ASAP!! Need correct answer!
Answers
Answer:
10
Step-by-step explanation:
I just know. besides, it would take too long to write the explanation. Hope this helps :)
Answer:
it's 7 the answer
I calculate and I solve
Plss this my answer can help you
thank you
a water wave travels a distance of 10.0 meters in 5.0 seconds. what can be determined from this information?
Answers
The speed of the water wave is 2.0 meters per second.
The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.
To determine the speed, we use the formula:
Speed = Distance / Time
Substituting the given values, we have:
Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second
Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.
This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.
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Do these look right?
Answers
Answer:
yes it look right like the one you have to do 2x+5=39
two marbles are randomly selected without replacement from a bag containing blue and green marbles. the probability they are both blue is . if three marbles are randomly selected without replacement, the probability that all three are blue is . what is the fewest number of marbles that must have been in the bag before any were drawn? (2000 mathcounts national target)
Answers
The probability of selecting two blue marbles without replacement is 1/6, and the probability of selecting three blue marbles without replacement is 1/35. The fewest number of marbles that must have been in the bag before any were drawn is 36.
Let's assume there are x marbles in the bag. The probability of selecting two blue marbles without replacement can be calculated using the following equation: (x - 1)/(x) * (x - 2)/(x - 1) = 1/6. Simplifying this equation gives (x - 2)/(x) = 1/6. Solving for x, we find x = 12.
Similarly, the probability of selecting three blue marbles without replacement can be calculated using the equation: (x - 1)/(x) * (x - 2)/(x - 1) * (x - 3)/(x - 2) = 1/35. Simplifying this equation gives (x - 3)/(x) = 1/35. Solving for x, we find x = 36.
Therefore, the fewest number of marbles that must have been in the bag before any were drawn is 36.
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how much consumer surplus will there be if the price is $40?
Answers
If the price paid for a certain item is $40 and the consumer surplus is $4, then the maximum buying price for that item is $44 .
The Consumer's Surplus is defined as the difference between the maximum price a consumer is willing to pay for an item and the actual price paid for the item.
If the price paid for the item is $40 and the consumer's surplus is $4, then the maximum buying price for that item can be calculated as :
⇒ Maximum buying price = Price paid + Consumer's surplus
Substituting the values of Price paid and consumer surplus ,
we get ;
⇒ $40 + $4
⇒ $44
Therefore , the maximum buying price for that item is $44 .
The given question is incomplete , the complete question is
If the price paid for a certain item is $40 and the consumer surplus is $4, then what is the maximum buying price for that item ?
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Which of the following encryption methods combines a random value with the plain text to produce the cipher text?
One-time pad
Steganography
Transposition
Elliptic Curve
Answers
The encryption method that combines a random value with the plain text to produce the cipher text is: One-time pad.
The one-time pad encryption technique is a form of symmetric encryption where a random key, known as the one-time pad, is combined with the plain text using a bitwise XOR operation. The one-time pad should be at least as long as the plain text and should never be reused.
In this method, each character of the plain text is combined with a corresponding character from the one-time pad, resulting in the cipher text. The one-time pad acts as a random key stream, making the encryption extremely secure if implemented correctly.
Steganography is a different technique that involves hiding information within other seemingly innocuous data, such as images or audio files, without necessarily encrypting it.
Transposition is a method of encryption where the characters of the plain text are rearranged or shuffled without changing the actual characters themselves.
Elliptic Curve is not an encryption method but rather a mathematical framework used in public-key cryptography systems, such as Elliptic Curve Cryptography (ECC), which provide secure communication channels but do not involve combining random values with the plain text to produce the cipher text.
Therefore, the correct answer is: One-time pad.
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is u in the plane r3 spanned by the columns of a
Let u = [0 4 4] and
A = [3 -5
-2 6
1 1]. Is u in the plane in R3 spanned by the columns of A? I was able to reduce the matrix and see that there is a solution and it is consistent. However my last row doesn't have a pivot and is 000=0, how can the answer be yes if each row doesn't have a pivot and doesnt follow theroem 4?
Answers
u is in the plane spanned by the columns of A.
What is System of linear equations?
A system of equations is a collection of one or more equations with several variables. The variable mappings that satisfy all component equations—that is, the places where all of these equations intersect are the solutions of systems of equations.
Yes, u is in the plane in R3 spanned by the columns of A. The fact that the last row of the reduced matrix is [0 0 0] doesn't necessarily mean that u is not in the plane spanned by the columns of A. It only means that the system of linear equations represented by the matrix has no non-trivial solution.
In this case, u being in the plane spanned by the columns of A means that u can be written as a linear combination of the columns of A. This can be confirmed by solving the following system of linear equations:
3x - 5y + z = 0
-2x + 6y + z = 4
x + y + z = 4
Since there is a solution x = 1, y = 2, z = 1, it means that u can be written as a linear combination of the columns of A, and therefore u is in the plane spanned by the columns of A.
Hence, u is in the plane spanned by the columns of A.
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Please show your work for the question below
Answers
Answer:
About 15 miles per hour
Step-by-step explanation:
Using the formula, distance over time
55/3.5 = 15.714...
Answer:
15.71 miles
Step-by-step explanation:
it is distnce over time so ,
55/3.5 =15.71 miles