Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.

Answers

Answer 1

Solution :

1. \($P(\text{ good sales in Asia }) = 0.55+0.15$\)

                                     = 0.7

2. \($P(\text{ good sales in Europe }) = 0.55+0.20$\)

                                     = 0.75

3. \($\text{P(good sales in Asia }| \text{ good sales in Europe}) $\)\($=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$\)

                                         \($=\frac{0.55}{0.75}$\)

                                          \($=\frac{11}{15}$\)

4. \($\text{P(good sales in Asia }| \text{ bad sales in Europe}) $\)

  \($=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$\)

  \($=\frac{0.15}{0.25}$\)

  \($=0.6$\)

5. \($\text{P(good sales in Europe }| \text{ good sales in Asia}) $\)

   \($=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$\)

   \($=\frac{0.55}{0.7}$\)

  \($=\frac{11}{14}$\)

6.  \($\text{P(good sales in Europe }| \text{ bad sales in Asia}) $\)

     \($=\frac{0.2}{0.3}$\)

     \($=\frac{2}{3}$\)                              


Related Questions

if two vertical angles are 2x-10 and x+20 find the value of x

Answers

Answer:

x=70

Step-by-step explanation:

when added together, verticle angles equal 180 degrees.

2x-10+x+20=180

3x-10+20=180

3x-30=180

3x=210

x=70

X=70 when added together, verticle angles equal 180 degrees

True or False: If the discriminant is less than zero, then the graph will never cross the x-axis.


False


True

Answers

Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root

True is the correct answer for this problem

Solve for x.
37°
8 cm
x = [?] cm
X
Round to the nearest hundredth.
X

Solve for x.378 cmx = [?] cmXRound to the nearest hundredth.X

Answers

The measure of side length x in the right triangle is approximately 6.03 cm.

What is the measure of side length x?

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?​

Answers

The answer would be 100.
If you take away 25 from (100) you get 75.
70 also equals 2.5*30

Hello, need help on this measuring volume question.

Hello, need help on this measuring volume question.

Answers

You would do 6x4x3 which would be 72

using the geometry of the features from question 1, from what direction did the continental glacier advance (originate)? glaciers generally advanced from the direction where the contour lines on the landforms are closest together (steep slope) toward the direction where the contour lines on the landforms are farther apart (gentle slope).

Answers

Continental glacier ice flows from the region where it is thickest toward the edges where it is thinner. In the central thickest parts, the ice flows almost vertically down toward the base, while at the edges of the glacier, it flows horizontally out toward the margins.

Glaciers generally advanced from the direction where the contour lines on the landforms are closest together (steep slope) toward the direction where the contour lines on the landforms are farther apart (gentle slope).

A continental glacier originating in far Northern Canada began to move South towards the Northeastern United States. The ice sheet crept slowly forward, scraping off the loose rock materials and gouging the bedrock beneath the ice as it advanced.

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What is the volume of this rectangular pyramid?
6 ft
7 ft
7 ft
cubic feet

What is the volume of this rectangular pyramid?6 ft7 ft7 ftcubic feet

Answers

98 cubic feet

Step-by-step explanation:

1/3 × 6 × 7 × 7 = 98

Hope this helps!

I'm sorry the your question does not make any sense please try again

40.7 is the same as 4.07

Answers

Answer:

That would be false

Step-by-step explanation:

if you look at where the decimal is, 40.7 would be bigger

Solve 2g - 13 = 3.
g=

Answers

Answer:

8

Step-by-step explanation:

2g = 3 + 13

2g = 16

g = 16/2

g = 8

Answer:

g=8

Step-by-step explanation:

2g-13=3

2g-13+13=3+13

2g=16

2g/2=16/2

g=8

If 5 apples cost $1.15, find the cost of 16 apples

Answers

Answer:

3.68$

Step-by-step explanation:

If 5 apples cost $1.15, find the cost of 16 apples

we can solve with an equation

5 : 1.15 = 16 : x

x = 1.15 * 16 : 5

x = 18.04 : 5

x = 3.68

check

5 : 1.15 = 16 : 3.68

4.34 = 4.34

the answer is good

Calc question — related rates

Calc question related rates

Answers

The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

How to determine rate?

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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[(-5) - {4^2- (-5) }] • (4 - 3)

the answer is -26

please show me how to get that answer?

Answers

The value of the numerical expression [(-5) - {4²- (-5) }] · (4 - 3) will be negative 26.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expression is given below.

⇒ [(-5) - {4²- (-5) }] · (4 - 3)

Simplify the expression, then we have

⇒ [(-5) - {4²- (-5) }] · (4 - 3)

⇒ [(-5) - {16 + 5}] · (1)

⇒ [(-5) - 21]

⇒ - 26

The value of the numerical expression [(-5) - {4²- (-5) }] · (4 - 3) will be negative 26.

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Consider parallelogram QRST below. Use the information given in the figure to find m

Consider parallelogram QRST below. Use the information given in the figure to find m

Answers

The missing values are

<UTQ = 41 degree

x= 1

<UQT = 47 degree

We have a parallelogram QRST.

We know that the opposite sides of the parallelogram is equal and parallel then

QR || ST

QT || SR

Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)

<UTQ = 41

Similarly, <UQT = <SRQ = 47

Now, RU = UT

2x + 1= 3

2x = 2

x= 1

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What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

Answers

Answer:

work is shown and pictured

What is the final step in solving the inequality 2(5 4x) &lt; 6x 4?

Answer: x<3

Step-by-step explanation:

Rob had a test average of 85.6 last semester. His first four test grades were 78, 92, 94, and 80. Use the formula x‾=x1+x2+…+xnn to find his score on the fifth test.

Rob had a test average of 85.6 last semester. His first four test grades were 78, 92, 94, and 80. Use

Answers

Given the equation:

\(\bar{x}=\frac{x_1+x_2+x_3+x_4+x_5}{n}\)

In this question:

x- = 85.6

x₁ = 78

x₂ = 92

x₃ = 94

x₄ = 80

x₅ = missing

n = 5

Substitute the values and then solve for x₅.

\(\begin{gathered} 85.6=\frac{78+92+94+80+x_5}{5} \\ 85.6=\frac{344+x_5}{5} \\ \text{ Multiplying both sides by 5:} \\ 85.6*5=\frac{344+x_5}{5}*5 \\ 428=344+x_5 \\ \text{ Subtracting 344 from both sides:} \\ 428-344=344-344+x_5 \\ 84=x_5 \end{gathered}\)

Answer: 84.

The surface area of a sphere is 900pi cubic cm. What is the length of its diameter.

Answers

The length of the diameter of the sphere is 30 cm.

The surface area of a sphere is given by the formula:

\(A = 4\pi r^2\)

where A is the surface area and r is the radius of the sphere.

We are given that the surface area of the sphere is 900π cubic cm. Therefore:

\(A = 4\pi r^2 = 900\pi\)

Dividing both sides by 4π, we get:

\(r^2 = 225\)

Taking the square root of both sides, we get:

r = 15

The diameter of the sphere is twice the radius, so:

d = 2r = 30

Therefore, the length of the diameter of the sphere is 30 cm.

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1. The ratio of boys to girls in the seventh grade is 2:3. If there are 24 boys, how many girls are there?​

Answers

Answer:

16

Step-by-step explanation:

2/3 * 24 = 16

Boys = 24
x = 24/2
x = 12

Ratio is 2x:3x
2(12):3(12)
24:36

There are 36 girls

A dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Six subjects were pretested, and then they took the mineral supplement for a 6-week period. The results are shown in the table. (Cholesterol level is measured in milligrams per deciliter.) Can it be concluded that the cholesterol level has been changed at level of 0.10? Assume the variable is approximately normally distributed.

Answers

The conclusion of the hypothesis testing is that; there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.

How to carry out hypothesis testing?

Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.

Let us first define the hypothesis in this problem;

Null Hypothesis; H₀: μ_d = 0

Alternative Hypothesis; Hₐ: μ_d ≠ 0 (Claim)

The degree of freedom is;

DF = n - 1

DF = 6 - 1

DF = 5

At a significance level of α = 0.10, with a DF of 5, the critical values are ±2.015.

Using a computer software, we can calculate the mean from the attached table as;

D' = ∑d/n

D' = 100/6 = 16.7

Similarly, the standard deviation is calculated from the formula;

S_d = √(n∑d² - (∑d)²)/(n(n - 1))

s_d = √(6.489 - 100²)/(6(6 - 1))

s_d = 25.4

The test statistic is gotten from the formula;

t = (D' - μ_d)/(s_d/√n)

t = (16.7 - 0)/(25.4/√6)

t = 1.610

This is less than the critical value and we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.

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A dietitian wishes to see if a persons cholesterol level will change if the diet is supplemented by a

I’m not sure the steps to figure out the problem. X = 2 to x =4

Im not sure the steps to figure out the problem. X = 2 to x =4

Answers

Answer:

you have to put the Y in the formula or make a comparison

Use the distributive property to remove the parentheses. -3(4v-2y-6)

Answers

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

Please answer this question

Please answer this question

Answers

Answer: B

Step-by-step explanation:

The factors of 1 are \(\pm 1\)

The factors of 20 are \(\pm \{1, 2, 4, 5, 10, 20\}\).

By the rational root theorem, we see that the answer is B.

Help please I need help

Help please I need help

Answers

Answer:

okay!

Step-by-step explanation:

3x5=15+4=19 so I think 10 5 5 10 hope it he,ped I tried!

PLEASE HELPPP THANKS​

PLEASE HELPPP THANKS

Answers

Answer: The last option. X is greater than or equal to -3

Step-by-step explanation:

If you are searching for all of the values highlighted in red, then it must be every single value greater than x=-3 including the value itself (the dot located on the value is shaded, therefore you must include it within the domain).

The area of a square is 36 sq.cm, then its perimeter is a) 24 cm b) 6 cm c) 144 cm d) 36 cm​

Answers

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

please please help last text then finals l give brainliest

please please help last text then finals l give brainliest

Answers

1. The x - intercepts of the parabola are

x = 2.5 s and x = 7.5 s

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

What is a parabola?

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

x = 2.5 s and x = 7.5 s

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Find B:

9.38

88

15.83

4

Find B:9.388815.834

Answers

Answer:

by using Pythagoras law

h²=p²+b²

13²=9²+b²

169-81=b²

b=√88=2√22m is your answer

find by a digit to make the number divisible by 3 1234?​

Answers

A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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Question 6
10 pts
Solve for x.
119°
(5x - 72°
(3x – 4)º
Please help

Question 610 ptsSolve for x.119(5x - 72(3x 4)Please help

Answers

Answer:

x = 9

Step-by-step explanation:

Angles in a triangle add up to 180°.

Step 1: Set up equation

119 + 3x - 4 + 5x - 7 = 180

Step 2: Solve for x

Combine like terms: 8x + 108 = 180Subtract 108 on both sides: 8x = 72Divide both sides by 8: x = 9

9. Mrs. Parker paints the school library. Yrich is the best estimate
for the amount of paint she uses?

Answers

Answer:

incomplete question

Step-by-step explanation:

Answer:

Mrs. Parker paints the school library.Yrich is the best estimate

Step-by-step explanation:

for the amount of paint she uses?

Which situation is modeled by the equation below? 25 + (-25) = 0

A. getting paid $35 for walking dogs, then spending $10 on games

B. getting paid $25 for walking dogs, then spending $25 on games

C. getting paid $20 for walking dogs, then spending $5 on games

D. getting paid $15 for walking dogs, then spending $10 on games​

Answers

Step-by-step explanation:

Let's solve all of them,

A. getting paid $35 for walking dogs, then spending $10 on games

=$35-$10

=$25

B. getting paid $25 for walking dogs, then spending $25 on games

=$25-$25

=$0

C. getting paid $20 for walking dogs, then spending $5 on games

=$20-$5

=$15

D. getting paid $15 for walking dogs, then spending $10 on games

=$15-$10

=$5

Here,

Option B. matches with the above situation.

So,

Option B. is the correct answer.

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