A vegetable farmer fills
2
3
of a wooden crate with
5
7
of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?

Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

To learn more about Net profit from the given link.

https://brainly.com/question/28390284

#SPJ4

Answer:I think $1064

Step-by-step explanation:

First you multiply 1/5 by 420 and then add, so 1/5 x 420 = 84 & 420 + 84 = 504. Then you multiply 1/3 by 420 and also add, so 1/3 x 420 = 140 & 420 + 140 = 560. After you add both totals to get your final answer, so 504 + 560 = 1064. Her income each month is $1064.

An isoquant is a curve that represents all the various combinations of two factors of production that can produce a particular level of output. The formula for the given production function is

F(k,l)=.75L+K, where Q=1. Now, we will draw the isoquant for the given function.

The graph of the isoquant will be plotted with the help of two axes, K and L, where K represents capital, and L represents labor.

Steps to draw the Isoquant for the given production function F(k,l)=.75L+K:

Here's the graph of the Isoquant for the given production function:

F(k,l)=.75L+K where Q=1:

f(k, l) = 0.75L + Kf(k, l) = 0.75L + KQ = 1

Isoquant1 = 1; K = 1 - 0.75L0.75(4) + 1 = 1 + 0.75(0)1 + 0 = 0.75(3) + 1= 1 + 2.25

Isoquant0.75(1) + 1 = 1 + 0.75(2)0.75 + 1 = 1 + 1.5= 1 + 0.75(1)

Isoquant0.75(0) + 1 = 1 + 0.75(4)1 + 0 = 3

isoquant's graph indicates the various combinations of two factors of production, labor, and capital, that can produce a particular level of output, Q = 1.

Know more about Isoquant  here:

https://brainly.com/question/32579167

#SPJ11

Answer:

Hi!

Step-by-step explanation:

So if the question doesn't say a number or amount of girls its is a variable.

So the answer is         'x'       amount of money.

or any letter

Hope this helped! <3

Answer: 19/28

Step-by-step explanation:

3/7 + 1/4

Find the LCM for 7 and 4

12/28 + 7/28 = 19/28

For queuing system B, the average time in queue ids going to change significantly as a result of increased utilization.

This is because queuing system B is initially heavily loaded and has less capacity to handle more requests. As a result, an increase in utilization can cause a significant increase in average queue latency on system B compared to system A.

Average Queue Time is a measure of the time a customer or request spends being processed by a server. It is affected by several factors such as server load, customer or request arrival rate, and server service rate. As the load on the queuing system increases, it means that the server is being used more frequently and is no longer available to process incoming requests. This will increase the average time in the queue as more requests accumulate and have to wait to be processed. The greater the increase in occupancy, the greater the impact on average latency.

Read more about Latency on brainly.com/question/29725758

#SPJ4

keeping in mind that an absolute value expression is really a duet in disguise, namely there's positive and negative version of it, Check the picture below.

\(\pm (3x+12)~~ = ~~105 \\\\[-0.35em] ~\dotfill\\\\ +(3x+12)~~ = ~~105\implies 3x=93\implies x=\cfrac{93}{3}\implies \boxed{x=31} \\\\[-0.35em] ~\dotfill\\\\ -(3x+12)~~ = ~~105\implies 3x+12=-105\implies 3x=-117 \\\\\\ x=\cfrac{-117}{3}\implies \boxed{x=-39}\)

Answer:

the answer is ABC was translated right 4 units and down 4 units. hope this helped

Answer:

Combine like terms by subtracting

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation: half an hour is 28 dollars. if he worked for 1 hour, it would be 186 +28 which was the left over amount of money to add up to 214, simply put, 1 hour and 30 minutes or 1.5 hours

Answer:

i think that they might be a or b i leaning towards A i think A is your best option

Step-by-step explanation:

hope this will help

Substitution is a method for solving systems of equations that involves solving for one variable in one equation and then substituting that value into the other equation.

Here's how we can use substitution to solve the system of equations:

5x+y=9

10x−7y=−18

Solve one equation for one variable, for example:

y = 9 - 5x

Substitute this expression of y into the other equation:

10x - 7(9 - 5x) = -18

Solve the equation resulting from the substitution

10x - 63 + 35x = -18

45x = 45

x = 1

Substitute this value of x back into one of the original equations to find the value of y.

5(1) + y = 9

y = 4

So the solution is (x,y) = (1,4)

You can check this solution by substituting it back into both original equations.

Answer:

square

triangle

5

square pyramid

find area of base and area of a lateral face (base is 1 side squared, lateral face is base * height / 2. Multiply area of lateral face by 4 and add the product to the area of the base to find the Surface Area.

Step-by-step explanation:

1. The shape of the base is a square.

2. The lateral faces are triangles.

3. Including the square and four triangles, the figure has 5 faces.

4. Square pyramid.

5. Find the surface area of the square. Find the surface area of one triangle, and multiply by 4 to get all of them. Add the area of the four triangles to the area of the square.

Hope this helps.

Answer:

it is c

Step-by-step explanation:

Answer:

x >= 0 & y<0

x >= 0 means that x is non-negative

y<0 means that y is negative

The free cash flow (FCF) for year 1 can be calculated by subtracting the investment in fixed assets and the investment in net working capital from the profit after taxes and adding back the depreciation. In this case, the free cash flow for year 1 is $2 million

Free cash flow (FCF) is a measure of the cash generated by a company after accounting for its expenses and investments in fixed assets and working capital. It represents the amount of cash available to the company for distribution to its shareholders, reinvestment in the business, or debt reduction.

In this case, the given data states that the profit after taxes is $5 million, the depreciation is $2 million, the investment in fixed assets is $4 million, and the investment in net working capital is $1 million.

The free cash flow (FCF) for year 1 can be calculated as follows:

FCF = Profit after taxes + Depreciation - Investment in fixed assets - Investment in net working capital

FCF = $5 million + $2 million - $4 million - $1 million

FCF = $2 million

Therefore, the free cash flow for year 1 is $2 million. This means that after accounting for investments and expenses, the company has $2 million of cash available for other purposes such as expansion, dividends, or debt repayment.

Learn more about free cash flow here:

brainly.com/question/28591750

#SPJ11

Answer:

unlikely

Step-by-step explanation:

unlikely because 3/6 colours are orange and 2/6 is white so the remaining 1/6 is not possible as much as the other 2

If Peter changed more pounds into dollars than he changed into francs then Peter changed £6,168 more into dollars than into francs.

First, we need to find out how much money Peter changed into euros:

(3/10) × £20,160 = £6,048

Next, we need to find out how much money Peter changed into dollars, rupees, and francs combined:

£20,160 − £6,048 = £14,112

We can use the ratios to find out how much of this total amount goes to each currency:

- Dollars: (9/16) × £14,112 = £7,932

- Rupees: (5/16) × £14,112 = £4,420

- Francs: (2/16) × £14,112 = £1,764

We can see that Peter changed more pounds into dollars than into francs. To find out how many more, we can subtract the amount changed into francs from the amount changed into dollars:

£7,932 − £1,764 = £6,168

To know more about dollars refer to

https://brainly.com/question/2202418#

#SPJ11

A function X that maps from a sample space to a measurable space is a random variable.

X-1(B) is an event and P(X-1(B)) is the probability of that event, and the converse is true.

Let X be a random variable defined on some probability space.

The definition of a random variable is a real-valued function X on a sample space that is measurable.

If X is a random variable and B is a Borel set, then X-1(B) is an event, and P(X-1(B)) is the probability of that event.

Therefore, X is a random variable since it meets the required conditions.

Yes, the converse is true.

If X is a random variable, then it meets the necessary conditions to be a function that maps from a sample space to a measurable space.

X-1(B) is an event and P(X-1(B)) is the probability of that event.

A random variable X is a function from the sample space to a measurable space that meets certain conditions.

The definition of a random variable is a function that maps from a sample space to a measurable space.

If X is a random variable and B is a Borel set, then X-1(B) is an event, and P(X-1(B)) is the probability of that event.

The converse is true if X is a random variable.

X is a function that maps from the sample space to a measurable space that meets certain requirements.

X-1(B) is an event and P(X-1(B)) is the probability of that event.

To know more about probability, visit:

https://brainly.com/question/31120123

#SPJ11

It's important to consider the terms "deviation," "players," and the context of the question. The mean and standard deviation of the salaries of players on the Denver Broncos have been recorded. You'd like to know if it's appropriate to use these methods to perform a hypothesis test about the mean salary of players in the National Football League (NFL).

In this case, it may not be appropriate to use the methods of this section to perform a hypothesis test about the mean salary of players in the NFL. The reason is, the data collected only represents the players on the Denver Broncos and not the entire population of NFL players. The standard deviation and mean of the Denver Broncos' salaries may not accurately represent the salary distribution of the entire league, as there might be variations among different teams.

To perform a hypothesis test about the mean salary of players in the NFL, it would be necessary to gather data from a representative sample of players across all teams in the league. This would allow for a more accurate estimation of the true mean salary and standard deviation within the entire population of NFL players.

In conclusion, while the data collected for the Denver Broncos players provides useful information about that specific team, it is not sufficient to draw conclusions about the mean salary of players in the entire NFL without obtaining a representative sample from all teams.

Learn more about hypothesis here:

https://brainly.com/question/29519577

#SPJ11

Answer:do u have the statements

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Perhaps you just mean to convert it from "summation form" ("sigma form") to a written out form?

Hope this helped.

Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

The 15 times the probability of pulling socks of different colors every day is 6/5 or 1.2.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The total number of socks in the drawer is 2 + 2 + 2 = 6.

On the first day, any sock can be chosen, so the probability of selecting a sock of a particular color is 2/6 = 1/3.

On the second day, there are only 5 socks left, so the probability of selecting a sock of a different color from the first day is 4/5.

On the third day, there are only 4 socks left, so the probability of selecting a sock of a different color from the first two days is 2/4 = 1/2.

To find the probability of pulling socks of different colors on all three days, we need to multiply the probabilities of each day:

P(different colors for all 3 days) = (1/3) × (4/5) × (1/2)

P(different colors for all 3 days) = 2/25

To get the 15 times probability, we multiply by 15:

15 × 2/25 = 6/5

Therefore, the answer is 6/5 or 1.2.

Hence, the 15 times the probability of pulling socks of different colors every day is 6/5 or 1.2.

To know more about probability visit:

https://brainly.com/question/13604758

#SPJ4

The probability P(A and B)  that both events will occur is 8/13

From the question, we have the following parameters that can be used in our computation:

Event A = 6 and 6

Event B = 20 and 6

Event A and B = 6

Total = 6 + 6 + 20 + 6 - 6 + 20 = 52

Using the above as a guide, we have the following:

P(A) = 12/52

P(B) = 26/52

P(A and B) = 6/52

The probability that both events will occur is represented as

P(A and B) = P(A) + P(B) - P(A and B)

And this is calculated as

P(A and B) = P(A) + P(B) - P(A and B)

Substitute the known values in the above equation, so, we have the following representation

P(A and B) = 12/52 + 26/52 - 6/52

Evaluate

P(A and B) = 32/52

Simplify

P(A and B) = 8/13

Hence, the probability that both events will occur is 8/13

Read more about probability at

brainly.com/question/31649379

#SPJ1

A)The rate of change of V with respect to h is 0.59/h^(1/2). B) One can see to the horizon approximately 236 miles from an airplane window at a height of 40,000 ft.

C) The rate of change of V with respect to h at h = 40,000 is approximately 118 miles/ft.

D) (a) tells us how much V changes for every unit increase in h. The answer to part (c) tells us the specific rate of change of V with respect to h at the given height of 40,000 ft.

a) To find the rate of change of V with respect to h, we can differentiate the formula V = 1.18√h with respect to h:

dV/dh = 1.18 * 1/2 * h^(-1/2) = 0.59/h^(1/2)

So the rate of change of V with respect to h is 0.59/h^(1/2).

b) If the height is 40,000 ft, we can substitute h = 40,000 into the formula for V:

V = 1.18√h = 1.18√40,000 ≈ 236 miles

So one can see to the horizon approximately 236 miles from an airplane window at a height of 40,000 ft.

c) To find the rate of change at h = 40,000, we can substitute h = 40,000 into the formula we derived in part (a):

dV/dh = 0.59/h^(1/2) = 0.59/√40,000 ≈ 118 miles/ft

So the rate of change of V with respect to h at h = 40,000 is approximately 118 miles/ft.

d) The answer to part (a) tells us how much V changes for every unit increase in h. The answer to part (c) tells us the specific rate of change of V with respect to h at the given height of 40,000 ft. These answers are important for understanding how much the view or distance to the horizon changes as the height changes.

Click the below link, to learn more about Horizon distance and range:

https://brainly.com/question/14928026

#SPJ11

Answer:

6.5 Meters per second

Step-by-step explanation:

if the bird flew 65 meters in 10 seconds, just divide 65 ÷ 10 = 6.5.

which if you were to add 6.5 ten times you would get 65.