The J.R. Ryland Computer Company is considering a plant expansion to enable the company to begin production of a new computer product. The company’s president must determine whether to make the expansion a medium- or large-scale project. Demand for the new product is uncertain, which for planning purposes may be low demand, medium demand, or high demand. The probability estimates for demand are 0.20, 0.20, and 0.60, respectively. Letting x and y indicate the annual profit in thousands of dollars, the firm’s planners developed the following profit forecasts for the medium- and large-scale expansion projects.
Medium-Scale Large-Scale
Expansion Profit Expansion Profit
x f(x) y f(y)
Low 50 0.2 0 0.2
Demand Medium 150 0.5 100 0.5
High 200 0.3 300 0.3
​a. Compute the expected value for the profit associated with the two expansion alternatives.
Which decision is preferred for the objective of maximizing the expected profit?
b. Compute the variance for the profit associated with the two expansion alternatives.
Which decision is preferred for the objective of minimizing the risk or uncertainty?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Medium-Scale Large-Scale

Expansion Profit Expansion Profit

x f(x) y f(y)

Low 50 0.2 0 0.2

Demand Medium 150 0.5 100 0.5

High 200 0.3 300 0.3

a. Compute the expected value for the profit associated with the two expansion alternatives.

Which decision is preferred for the objective of maximizing the expected profit?

Expected value for medium scale expansion profit :

Expected value (E) = Σ(X) * f(x)

Σ[(50 * 0.2) + (150 * 0.5) + (200 * 0.3)]

= 145

Expected value for Large scale expansion profit :

Expected value (E) = Σ(X) * f(x)

Σ[(0 * 0.2) + (100 * 0.5) + (300 * 0.3)]

= 140

Medium scale expansion profit is preferred as it has the highest expected value.

b. Compute the variance for the profit associated with the two expansion alternatives.

Which decision is preferred for the objective of minimizing the risk or uncertainty?

Variance (V) = Σ(X - E)² * f(x):

Variance for medium scale expansion profit :

V = [((50-145)^2 * 0.2) + ((150-145)^2 * 0.5) + ((200-145)^2 * 0.3) = 2725

Variance for Large scale expansion profit :

V = [((0-140)^2 * 0.2) + ((100-140)^2 * 0.5) + ((300-140)^2 * 0.3) = 12400

Smaller variance is required to minimize risk, Hence, choose the medium scale expansion profit.


Related Questions

Given that every seventh person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4


decimal places, if necessary.

Answers

Answer:

0.857

Step-by-step explanation:

Given that :

Every seventh person gets a free box of popcorn ; then not getting a free box of popcorn means you're not the 7th person inline.

However, since the order of arrangement is unknown, but one person out of every 7 gets ;

Probability of getting a popcorn is hence ;

p(getting popcorn) = 1/7

Probability of not getting will then be its complement :

1 - (1/7) = 6/7 = 0.857

Multiply:
8.94 x 354
Submit

Answers

Answer:

3164.76

Step-by-step explanation:

divide the numbers.

and don't forget the decimal

Answer:

3164.76

Step-by-step explanation:

Hope this helps!

Plz help first person to get correct I’ll cash app or pay pal you 5$. Answer and add your cash app or PayPal.

Answers

c(x)=9+3.5 here you go

Answer:

c(x)=9+3.5

Step-by-step explanation:

Hope this helps

Cash app is $Lilibug17

1. If a car must have at least 2 passengers in order to be in the carpool lane on this highway, what is the probability that a randomly selected car is allowed to be in the carpool lane?

P(x>2) .15+.10+ .3+ .2= .30

2. Find the probability that a randomly  selected car on this highway has fewer than 4 occupants.

P(x<4)= p(x<3)=
.70+ .15+ .10= .95


3. Calculate the mean of this probability distribution.  Click on the tool "Insert Math Equation" in the toolbar above to write your answers using correct notation and round it to one more decimal than is contained in the data (type out your calculations).

E(x) is

1(x) p(1) + 2p(2) + 3p(3)+ 4p(4)+ 5p(5)
.70+.30+.30+.12+.10
=1-52



4. Explain what your answer to #3 means in the context of this problem.

Mean is the expected value and measure of tendency following is the probability of distribution

5. What shape would the probability histogram of this probability distribution have (you do not have to actually create or embed the histogram)?  Explain the meaning of this in context.  In other words, what does this tell you about the driving habits of most drivers on this highway?

Most drivers have more than 2 passengers while driving in the carpool lane on the freeway​

Answers

Answer:

4

Step-by-step explanation:

A trucking company operates in three regions of the country. The table below depicts the probability that each
company truck is in the region and the fuel prices per gallon. What amount should the company budget on average
for a gallon of fuel across its operations? Round your answer to the nearest cent.

Answers

Question: A trucking company operates in three regions of the country. The table below depicts the probability that each  company truck is in the region and the fuel prices per gallon. What amount should the company budget on average  for a gallon of fuel across its operations? Round your answer to the nearest cent.

Answer:

A. $3.53

B. $3.55

C. $3.68

D. $3.70

The amount that the company should put on average for a gallon across the operations is $ 3.70. This option D is correct.

What does the trucking operations of the company?

The company of trucks runs operations in several countries as per the table each region has distinct scores of probability and as the company that is farthest from the market has more wages as compared to that is the nearest

The percentage is 100 and probability counts as compared to one. Thus 50% is 0.50. If assuming X is the cost of fuel then using the formula we get.

[tex]Mean = E (X) = f(xi) xi[/tex]

E(X) = 3.10 x 0.2 +3.5 x 0.3 +4.05 x 0.5 = 3.69 that is 3.70 dollars.

Find out more information about the company operates.

brainly.com/question/26676604.

The complete question is :

A trucking company operates in three regions of the country. The table below depicts the probability that each  company truck is in the region and the fuel prices per gallon. What amount should the company budget on average  for a gallon of fuel across its operations? Round your answer to the nearest cent.

A. $3.53

B. $3.55

C. $3.68

D. $3.70

Plz help on this question, I’ve got a mind blank

Answers

Answer:

ist cubes man

Step-by-step explanation:

Simplify this expression (4ab^2)^3

Answers

Answer:

(48b 2) 3

Step-by-step explanation:

The answer is  A) The simplified expression is a polynomial. & B)The simplified expression has a constant term.

What is a polynomial for example?

Polynomials are sums of phrases of the form okay⋅xⁿ, where ok is any range and n is an effective integer. as an instance, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers commonplace terminology like phrases, diploma, fashionable form, monomial, binomial and trinomial.

Here, we have,

A polynomial is described as an expression that consists of variables, constants, and exponents, which can be mixed with the usage of mathematical operations including addition, subtraction, multiplication, and department (No department operation by way of a variable).

t³(8 + 9t) - (t² + 4)(2 - 3t)

=   8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)

=   8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t

=   9t⁴ + 11t³ - 2t² + 12t - 8.

Learn more about polynomial here

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complete question;

T^3(8 + 9t) - (t2 + 4) (2 – 3t)

The simplified expression is a polynomial.

The simplified expression has a constant term.

The simplified expression is cubic.

The simplified expression has four terms.

The simplified expression is a trinomial

The ray G is the angle bisector of FGH and m FGH = 35°. Enter m.FG). The measure of ZFGJ is

Answers

Answer:

If ray GJ is an angle bisector of ∠FGH, it cuts the ∠FGH into two equal angles making ∠FGJ = 25° and ∠HGJ=25° for a sum of 50°. ∠FGJ=25°

The width of a rectangle is four feet more than six times its length, L. If the perimeter of the rectangle is 568
feet, what is the length of the rectangle?

Answers

Answer:

Hi there!

Your answer is:

The length is 40

Step-by-step explanation:

W=4+6L

P=568

Perimeter formula

W+W+L+L=568

Plug in known values!

(4+6L)+(4+6L) + L +L = 568

Solve for L

14L + 8 = 568

-8

14L = 560

/14

L=40

Can anybody help with this math problem?

Answers

Blank 1 = same slope

Blank 2 = negative reciprocals

Question:
(-11x-11x-11)=?

Answers

Answer:

-22x-11

Step-by-step explanation:

Your welcome! :)

Given: f(x) = -2x + 10
Find: f(2)​

Answers

Answer: 4

Step-by-step explanation: Subtract 10 from each sides and divide both sides by -2

The IQ scores and science test scores of fourth grade students is given by the regression line ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100. Find and interpret the residual.

Answers

Answer:

24

Step-by-step explanation:

Given the equation of the regression line :

y = - 20.3 + 0.489s

where ŷ is the predicted science score

s = IQ score

An actual science test score for a student is 52.6 with an IQ of 100.

Find and interpret the residual.

The predicted science test score for a student with an IQ of 100 is :

y = - 20.3 + 0.489(100)

y = - 20.3 + 48.9

y = 28.6

The residual = actual - predicted score

The residual = 52.6 - 28.6 = 24

Hence, the residual is 24 which is the error in prediction made about the actual score.

Answer:

−1.99; The regression line overpredicts the student's science test score.

Step-by-step explanation:

k-x=y+w, for x
Solve the equation for each indicated variable

Answers

Answer:

-x=y+w-k

-x.-1=-1.(y+w-k)

x=-y-w+k

8(15-4)
----------
4²-5

Answers

Step-by-step explanation:

8(15-4)

----------

4square - 5

= 8(15-4)

=120 - 32

= 88

4square - 5

=4×4 = 16

16 - 5

= 11

therefore,

88/11

= 8

HELPPPP DUE TODAY!

Any one who answers will be marked brainliest please.


The table contains the points of an absolute value function. Compare it to the function f(x)=−2|x−7|−4 .


x g(x)

1 −2

2 −1

3 −2

4 −3

Which function has the largest maximum and what is the value of the largest maximum?



A-The function f(x) has the largest maximum which is −1 .


B-The function f(x) has the largest maximum which is −4 .


C-The function g(x) has the largest maximum which is −1 .


D-The function g(x) has the largestmaximum which is −4 .

Please help as soon as possible!

Answers

Answer:

I had the same question and guessed but i got 100% on it. The following snip is the answer

Step-by-step explanation:

The function g(x) has the largest maximum which is −1 option (C) is correct if the equation for the function f(x) is f(x)=−2|x−7|−4.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function:

f(x) = -2|x - 7| - 4

Plug x = 1

f(1) = -16

Plug x = 2

f(2) = -14

Plug x = 3

f(3) = -12

Plug x = 4

f(3) = -10

From the table:

The function g(x) has the largest maximum which is −1.

Thus, function g(x) has the largest maximum which is −1 option (C) is correct if the equation for the function f(x) is f(x)=−2|x−7|−4.

Learn more about the function here:

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????????????????????? ​

Answers

Answer: A C AND E

Step-by-step explanation:

A, D, E, F all have the same y-intercept (-8)

Tell whether the fraction is in simplest form 25/42

Answers

Answer:

it's already in the simplest form

Yes... It is in the simplest form..

If this answer helps you plz mark as brainlist..Tq..

help asap please!! yea ​

Answers

Answer:

C

Step-by-step explanation:

h(x)=8(x+6)^2-9

6 units to the left and 9 units down

Express 26 as sum of 3 odd primes

Answers

26 = 1, 3, 9, 13 i added 4 just incase u need sum extra

PLEASE HELP ME AS SOON AS POSSIBLE PLEASE

Answers

nevermind, I got the wrong answer. not sure how to delete my own answers :/

Answer:

Step-by-step explanation:

Write the number in scientific notation.
1,920,000

Answers

The scientific notation is 1.92 x 10^6.

please help!!! !!!!!!!

Answers

Answer:

-2+6x

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

-2+5(6x-5)= -237

multiply to get rid of the parentheses

-2+30x-25= -237

simplify

30x-27= -237

add 27 to both sides

30x= -210

divide both sides by 30

x= -7

Hope this helps! (;

What is the solution to 5a - 15+9a=3a+29

Answers

Answer:

a = 4

Step-by-step explanation:

5a - 15 + 9a = 3a + 29

14a - 15 = 3a + 29

11a - 15 = 29

11a = 44

a = 4

Solve each inequality below.
7. -4x < 32
O x 28
OX-8
O X 36
O X8

Answers

Step-by-step explanation:

2nd one I think.........?

Write 0.000073 in scientific notation

Answers

Answer:

7.3x10^-7

Step-by-step explanation:

you move the decimal to the right 7 times.

Hope this helps.

Answer:

[tex]10^-^5[/tex]  [tex]*73[/tex]

Step-by-step explanation:

So in 0.000073, 7 is the fifth digit in the term so we can write it as [tex]10^-^5[/tex] * 73

or 10 to power of negative 5 multiplied by 73.

The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by
(2x + 3)°. What is the value of x? What is the measure of each base angle?

x =

Each base angle measures
°.

Answers

Answer:

x=33 and angle=69

Step-by-step explanation:

just got it on a test

Measure of x = 69 degree.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that,

vertex angle = 42 degree

Angle of base angle = (2x + 3)°

Use the knowledge that the sum of the base angles in an isosceles triangle equals 180° minus the vertex angle to find the value of x.

Thus,

Vertex angle is,

(2x + 3)° + (2x + 3)° = 180° - 42°

Base angle + Base angle = 180° - 4x + 6 = 138

4x = 132 x = 33

We substitute x = 33 into (2x + 3)°

To determine the magnitude of each base angle:

Base angle equals (x + 3)°

Base angle = (2 x 33 plus 3).

Angle at base: 69° As a result, each base angle is 69°.

Learn more about the triangle visit;

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"If you subtract 19 from my number and multiply the difference by -2​, the result is -8 ​." What is ​'s ​number?

Answers

Answer:

23

Step-by-step explanation:

Do the steps in reverse.

-8 divided by -2 = 4

4 + 19 = 23

Your answer is 23

Hope I helped :)

Please consider Brainliest :)

Given two dependent random samples with the following results:
Population 15666696660595654
Population 26564746463645460
Can it be concluded, from this data, that there is a significant difference between the two population means?
Let d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.02 for the test. Assume that both populations are normally distributed.Step 1 of 5 :
State the null and alternative hypotheses for the test.

Answers

Answer:

The null hypothesis will not be rejected.

Step-by-step explanation:

The hypothesis for the test is:

H₀: There is no difference between the two population means, i.e. d = 0.

Hₐ: There is a significant difference between the two population means, i.e. d ≠ 0.

Consider the Excel output attached.

The mean of the differences is, [tex]\bar d=-2.75[/tex].

The standard deviation of the differences is, [tex]S_{d}=4.268[/tex].

Compute the test statistic as follows:

[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}=\frac{-2.75}{4.268/\sqrt{8}}=-1.82[/tex]

The degrees of freedom is, n - 1 = 7.

Compute the p-value as follows:

[tex]p-value=2\cdot P(t_{7}<-1.82)=0.112[/tex]

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

p-value = 0.112 > α = 0.02.

The null hypothesis will not be rejected.

Simplify.
Rewrite the expression in the form z^n
z^7/z^-14
=
21

Answers

Step-by-step explanation:

z^7/z^-14=21

z^21=21

z^-33=21 i believe would work
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