A company is considering a new product launch. There is a 0.6 chance that demand for the product will be strong and a 0.4 chance that demand will be weak. Two strategies for the launch are possible: 1 has high promotion costs and a net cash outflow of K120 000 if demand proves to be strong, and if demand proves weak a net cash outflow of (K30 000) will result. Strategy 2 has low promotion costs and if demand is strong will generate a cash inflow of only K80 000 but with weak demand a net cash inflow of K20 000.
i. Draw a decision tree and advise which course of action generates the greatest expected profit.
ii. What is the maximum amount that should be paid for market research to determine with certainty whether demand will be strong or weak?
Answers
Strategy 2 will generate higher expected profit and the company should invest k 8000 for market research to determine with certainty whether demand will be strong or weak.
→Strong demand (P= 0.6) k12000 outflow
→|
→Weak demand (P=0.4) k30000 outflow
New product launch ║
→Strong demand (P= 0.6) k80000 outflow
→|
→Weak demand (P=0.4) k20000 outflow
Expected market value in strategy 1 is
= - 120000 x 0.6 + (-30000) x 0.4
= -k 84000
Expected market value in strategy 2 is
= - 80000 x 0.6 + 20000) x 0.4
= k 56000
Therefore strategy 2 will generate higher expected profit
In strategy 2
Expected value in strong demand is 80000 x 0.6 = k 48000
Expected value of weak demand is 20000 x 0.4 = k 8000
Thus the company should invest k 8000 for market research to determine with certainty whether demand will be strong or weak
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Related Questions
a single rose costs 3$ and a bunch of roses costs 12$.How many times as much does the bunch of roses cost than the single rose?
Answers
The bunch of roses costs $12/$3 = 4 times as much as a single rose.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
The bunch of roses costs 4 times as much as a single rose.
To see why, we can divide the cost of the bunch of roses by the number of roses it contains. If a bunch of roses costs $12 and contains, say, 4 roses, then each rose in the bunch costs $3. On the other hand, a single rose costs $3 on its own.
Therefore, the bunch of roses costs $12/$3 = 4 times as much as a single rose.
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How many days with 9 workers
Answers
Answer: 9.66666667
Step-by-step explanation:
To find the number of days it would take to build a similar house, we would need to create a proportion.
Workers: 27:9
Days: 29:?
Let's simplify.
Workers: 3:1
Days: 29:?
Now, we divide 29 by 3 to see how many days it would take to build a similar house.
29/3=9.666666667 (9.6 repeating)
So, your answer would be 9.6
Hope this helps!
What is the image point of (1,0)(1,0) after a translation right 1 unit and up 4 units?
Answers
Answer:
0,4
Step-by-step explanation:
plz tell me 12 x 12 = and 12 x 13 =
Answers
Answer:
12 x 12 = 144, 12 x 13 = 156
Step-by-step explanation:
Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number.
A. 1.256 A2
B. 4.189 f?
C. 1,089 ft?
D. 1,568 AP
Answers
Answer:
C is my answer
Mark me as Brainilest Answer please
Thank Youuu
Statistical techniques are classified into two major categories: descriptive and inferential. Describe the general purpose of each category.
A-The purpose of (1)inferential (2)descriptive statistics is to simplify the organization and presentation of data.
B-The purpose of (1) inferential (2) descriptive statistics is to use the limited data from a sample as the basis for making general conclusions about the population.
Answers
Answer:
A-The purpose of (2)descriptive statistics is to simplify the organization and presentation of data.
B-The purpose of (1) inferential statistics is to use the limited data from a sample as the basis for making general conclusions about the population.
Step-by-step explanation:
The descriptive statistics is used to make large data presentable into usable short forms, without which it would look impossible to solve. We draw a sample from the population and find its mean or draw histograms for the frequency distributions. This is descriptive statistics.
The inferential statistics is used to make inferences and conclusions from limited data given from a population. We do the hypothesis testing for the random samples obtained from larger populations. The hypothesis tests or the confidence intervals help us decide whether the rseults are accepted or not.
Rebecca and John worked a total of 25 hours last week. If Rebecca worked R hours and John worked 5 hours less than Rebecca, which of the following equations represents the situation?
Answers
Answer:
25=r+5
he worked 20
Step-by-step explanation:
Julie has a bag of flour that holds 20 cups of flour. She needs 4 cups for each loaf of bread.
How many loaves of bread can she make? Explain.
Answers
what is 15 to the power of 12
Answers
Answer:
1.2974634e+14
Step-by-step explanation:
ye
Calculate the volume of this cylinder in terms of Pi and to the nearest hundredth
Answers
The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.
What is the volume of the given cylinder?It follows from the task content that the volume of the cylinder which is as represented is to be determined.
Since the volume of a cylinder is;
V = 2πr²h
where r = 10 and h = 25.
V = 2π × 10² × 25.
V = 5000π.
Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.
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Can anyone help me on this?
Answers
Answer:
the second choice (-2,-3)
Step-by-step explanation:
Jevonte is saving money. Jevonte started with $21 and added $17.50 every week. Find the rate of change.
Answers
The rate of change is $17.5 per week.
A rate in mathematics is the comparison of two related values expressed in different units.
The numerator of the ratio indicates the rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities, and if it is assumed that this quantity may be modified systematically (i.e., is an independent variable). When viewed broadly, a rate (or ratio) can be conceived of as an output-input ratio or a benefit-cost ratio. For instance, in the transportation industry, miles per hour is the output (or benefit) in terms of miles of travel that one receives from travelling for one hour (a cost in time) (at this velocity).Jevonte adds $17.50 every week. so the rate of change in his account each week is 17.5 dollars.
Therefore the rate of change is 17.5 dollars per week.
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Find all values of m for which the equation has two real solutions.
3x² + 7x - (m + 1) = 0
Answers
Answer:
m > - 5 1/12----------------------
Given is the quadratic equation.
A quadratic equation has two real solutions if the discriminant is positive.
Set inequality and solve for m:D = b² - 4ac, where a = 3, b = 7, c = - (m + 1)D = 7² + 4*3*(m + 1) 7² + 4*3*(m + 1) > 049 + 12m + 12 > 012m + 61 > 012m > - 61m > - 61/12 m > - 5 1/12prove that, given a nonnegative integer , there is a unique nonnegative integer such that m^2 < sqrt n < (m 1)^2
Answers
It is proved that m = √n.
To prove that given a nonnegative integer n, there is a unique nonnegative integer m, we just need to take the square root of the given equation:
m^2 ≤ n < (m + 1)^2.
So, after taking the square root, it will be:
m ≤ √n < m + 1
From that we can see m = √n is the unique m.
What is a nonnegative integer?A nonnegative integer is an integer which is either positive or zero. It is the union of the natural numbers and the number zero. Occasionally, it is referred to as Z*, and it can be described as the set {0, 1, 2, 3, 4, 5, …}. In other words, nonnegative integers are integers that are not negative.
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Although part of your question is missing, you might be referring to this full question: Prove that given a nonnegative integer n, there is a unique nonnegative integer m such that m^2 ≤ n < (m+1)^2.
11
I
Reynaldo has a square fish pond in his back yard.
The pond is 2 feet on each side. He would like to
border the pond with 3 in. by 3 in. square tiles,
alternating between squares of yellow and green
tiles, as shown.
Answers
Answer:
See below
Step-by-step explanation:
The question in full is attached
The pond is 2 feet = 2*12 inches = 24 inch each side
Each side is 24/3 = 8 tiles long
The first border line (yellow) has:
(8+1)*4 = 36 tilesThe second line (green) has:
(9 + 1)*4 = 40 tiles and so onEach following line has 4 more tiles
a) As AP sequence it looks as:
36, 40, 44, ..So
the first term = 36common difference = 4b) Considering the alternating colors,
Yellow sequence:
36, 44, 52, ..The first term = 36Common difference = 8Green sequence:
40, 48, 56 ..The first term = 40Common difference = 8
new later
A scatter plot is shown below.
10
8
6
A
N
02 4
6
8 10 12 14 16
Which statement best explains why these data can or cannot be modeled using a line of best fit?
a. A line would not be appropriate because there is a negative association.
b. A line would not be appropriate because the points follow a nonlinear pattern.
c. A line would be appropriate because there is a positive association.
d. A line would be appropriate because the points follow a nonlinear pattern.
Answers
The points are scattered in the scatterplot and thus, a line would not be appropriate because the points follow a nonlinear pattern.
Hence, option b is the correct answer.
How can scatterplot identify relationships?Numerous different kinds of associations between two variables can be found using a scatterplot.
When there is no pattern visible in the points on a scatterplot, a relationship has no correlation.
When the points on a scatterplot exhibit a pattern rather than a straight line, a relationship is non-linear.
When the points on a scatterplot exhibit a largely straight line pattern, a relationship is linear. We shall look at this relationship in detail.
From the given graph we observe that the points do not follow a linear pattern.
The points are scattered and thus, a line would not be appropriate because the points follow a nonlinear pattern.
Hence, option b is the correct answer.
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The correct question is:
What is the slope of the graph shown below?
Answers
Answer:
Option 3: -2
Step-by-step explanation:
The slope of the graph is negative, and the only option with a negative term for the slope is -2.
So the slope of the graph is -2.
Hubble's constant H is about 70 km/sec per megaparsec. (The prefix "mega" means million.) Convert this value for Hubble's constant to km/s/million LY. Hint: -A parsec is 3.26 light-years, and therefore a megaparsec is 3.26 million LY. If you take the given value of the Hubble constant (namely, 70 km/s per megaparsec) and replace the megaparsec with 3.26 million LY, then you will have converted to the desired units.
Answers
Hubble's constant in units of km/s/million LY is approximately 21.47.
what is approximately ?
Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.
In the given question,
To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:
1 Mpc = 3.26 million LY
Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:
1 Mpc / 3.26 million LY
Multiplying Hubble's constant by this conversion factor gives:
H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY
Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.
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What is the measure of AC?
Answers
DE is 30, so AD is also 30
A full circle is 360
ACE = 360- Ad-de
Ace = 360-30-30 = 300
Ac is half of ace
Ac = 300/2 = 150
The answer is b 150
9(3a+8)
give the right answer please
Answers
Answer:
27a + 72
Step-by-step explanation:
Open the brackets
9(3a) + 9(8)
27a +72
Answer:
27a + 72
Step-by-step explanation:
9(3a + 8)
Using the distributive property, we can multiply 9 by everything in parentheses, which now gives us: 27a + 72
We cannot simplify this further, as we have an unknown value in the variable a, thus we cannot apply 72 to 27a, or inverse.
Meaning that, the answer is 27a + 72
anyone can solve this?
\( \sqrt[4] {a}^{3 \:} to \: power\)
Answers
The value of the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
\(\sqrt[4]{a}^3\)
Consider an expression expressed as xⁿ
The expression can be expanded as
xⁿ = x * x * x .... in n places
Using the above as a guide, we have the following:
\(\sqrt[4]{a}^3 = \sqrt[4]{a} * \sqrt[4]{a} * \sqrt[4]{a}\)
Apply the exponent rule of indices
\(\sqrt[4]{a}^3 = a^\frac14 * a^\frac14 * a^\frac14\)
Apply the power rule of indices
\(\sqrt[4]{a}^3 = a^\frac34\)
Hence, the expression \(\sqrt[4]{a}^3\) when evaluated is \(a^\frac34\)
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Points A, B, C, and D lie on circle M. Line segment BD is
a diameter. The measure of arc CD equals the measure
of arc DA.
M
D
B
A
D
What is the measure of angle ADM?
O22.5°
30.0⁰
45.0°
67.5°
Answers
The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.
Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.
Therefore, the intercepted arcs AD and CD have equal measures.
Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.
Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.
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I need these answers quickly. If I don't get them by midnight ill cry.
Answers
This is because the y intercept represents how much water is in the tank when the time = 0 minutes, and at 0 minutes Jack hasn’t opened the valve yet and no water has been lost.
match each integer on the left with the probability on the right that it is the sum of the faces when two fair dice are rolled.
Answers
The probability of the sum of the numbers comes up on the facing dice add up to 3 while rolling two fair six sided dice is equal to ( 1/ 18).
As given in the question,
Number of six sided fair dice rolled = 2
Total number of outcomes of each dice = 6
Total number of outcomes of rolling two six sided fair dice = 36
Outcomes are:
( 1,1), (1,2)...(1,6),( 2,1), (2,2)...(2,6), ( 3,1), (3,2)...(3,6), ( 4,1), (4,2)...(4,6), ( 5,1), (5,2)...(5,6), ( 6,1), (6,2)...(6,6)
Sum of facing up dice add upto 3 are
( 1,2) , (2,1) only
Number of favorable outcomes = 2
Required probability = 2/36
= 1/18
Therefore, the required probability of the sum of facing up dice add upto 3 is equal to (1/18).
The given question is incomplete, I answer the question in general according to my knowledge:
Roll two fair 6-sided dice. what is the probability that the sum of the numbers on the dice facing up add up to 3?
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subtract a mixed and whole number 5 - 2 2/9=
Answers
Answer:
25/9 or 2 7/9
Step-by-step explanation:
5-2 2/9
5-20/9
45/9-20/9
25/9
2 7/9
Answer:
25/9 or.. 2 7/9
Step-by-step explanation:
hope this helped!!<3
Why is it important to make sure digits and decimals line up when adding and subtracting numbers with decimals? Explain by evaluating the following problem: 320.456 - 145.73
Answers
It is important to make sure digits and decimals line up when adding and subtracting numbers so as to keep the numbers in the proper place-value column.
What is a Decimal?This is referred to a number which has the whole number and fractional part being separated by a decimal point such as 11.23.
The solution of 320.456 - 145.73
320.456
- 145.73 = 174.726
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An artist makes a hanging sculpture out of rhombus-shaped pieces. Each rhombus shape has diagonals of 3.5 centimeters and 5 centimeters. What is the area of each rhombus? 4.25 cm2 8.5 cm2 8.75 cm2 17.5 cm2
Answers
The area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)
To find the area of each rhombus, we can use the formula for the area of a rhombus:
Area = (diagonal1 × diagonal2) / 2
Given that the diagonals of the rhombus-shaped pieces are 3.5 centimeters and 5 centimeters, we can substitute these values into the formula:
Area = (3.5 cm × 5 cm) / 2
Area = 17.5 \(cm^2\) / 2
Area = 8.75 \(cm^2\)
Therefore, the area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)
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I need help please solve, if you can solve you are the best.
\-x+sqrt1−x 2 \-=sqrt2(2x 2 −1).
Answers
Answer:
i think it is 1/4
Acelus
AABC-AQRS
Find the missing side length, m.
Source
10
А
2
m = [?]
![AcelusAABC-AQRSFind the missing side length, m.Source102m = [?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/XwXPvbdDS2QtugKjV07N3LPTPAvVIqN3.png)
Answers
Answer: m=5
Step-by-step explanation:
Because the triangles are similar, AC/QS = AB/QR
Substituting in the given side lengths,
2/4 = m/10
1/2 = m/10 -> m=5
Can someone help me (1) calculate the mean, mode and meridian of the attached histogram? & also (2) state the skewness of the distribution. Thank you.
Answers
The mean of the data represented by the histogram is 36.33, median is 31.73, mode is 34.43 and the skewness is left skewed.
We have the data:
Age Frequency
23 - 27 6
28 - 32 13
33 - 37 18
38 - 42 10
43 - 47 8
48 - 51 5
Making it continuous intervals, we get that:
Age Mid point (x) Frequency (f) f x
22.5 - 27.5 25 6 150
27.5 - 32.5 30 13 390
32.5 - 37.5 35 18 630
37.5 - 42.5 40 10 400
42.5 - 47.5 45 8 360
47.5 - 51.5 50 5 250
Total 60 2180
Mean = 2180 / 60 = 36.33
Median = l + [(n/2−c)/f] × h
Median = 27.5 + [ (30-19) / 13 ] × 5
Median = 31.73
Mode = 32.5 + 5 / ( 5 + 8) × 5
Mode = 34.42
Skewness = left skewed.
Therefore, we get that, the mean of the data represented by the histogram is 36.33, median is 31.73, mode is 34.43 and the skewness is left skewed.
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