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victus00 [196]
3 years ago
11

​Vasco's utility function​ is: Upper U equals 10 Upper X squared Upper ZU = 10X2Z The price of X is px​ = ​$55​, the price of Z

is pz​ = ​$2020​, and his income is ​$150150. What is his optimal​ bundle? ​(round your answer to two decimal​ places)
Business
1 answer:
disa [49]3 years ago
6 0

Answer:

Explanation:

U = 10 X²Z

Given

150 = 5X + 20Z

30 = X + 4Z

To maximise utility

differentiating partially wrt X

MU_x = dU/ dX = 20XZ

differentiating partially wrt Y

MU_y = dU/dY = 10X²

For optimal bundle

MU_x / MU_y = P_x / P_y

20XZ /  10X² = 5 / 20

2Z / X = 1/4

X = 8Z

30 = X + 4Z

30 = 8Z + 4Z

12Z = 30

Z = 2.5

X =  8 X 2.5

= 20

X = 20

Z = 2.5

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kogti [31]

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6 0
2 years ago
when a person uses face-to-face presentations to promote goods and services, he is said to be using as a sales technique.
gulaghasi [49]

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6 0
1 year ago
Consider four different stocks, all of which have a required return of 15 percent and a most recent dividend of $4.20 per share.
natka813 [3]

Answer:

Dividend yield for W = 5%

Dividend yield for X = 15%

Dividend yield for Y = 20%

Dividend yield for Z = 4.6%

Explanation:

For a constant growth stock Price =\frac{D1}{r-g}

If r is made subject of formula;  r=\frac{D1}{Price}+g = div yield + growth rate

For Stock W, given r = 15% and g= 10%; dividend yield = 15%-10%=5%

For Stock X, given r = 15% and g= 0%; dividend yield = 15%-0%=15%

For Stock Y, given r = 15% and g= -5%; dividend yield = 15%-(-5)%=20%                                      

For Stock Z, the price of the stock today is calculated as follows:

Price of the stock today = \frac{D1}{(1+ke)^1}+\frac{D2}{(1+ke)^2}+\frac{P2}{(1+ke)^2}.

where P2= \frac{D3}{ke-g}

Price of the stock today = \frac{4.2(1.2)}{(1+0.15)^1}+\frac{4.2(1.2)^2}{(1+0.15)^2}+\frac{4.2(1.2)^2(1.1)}{(0.15-0.1)(1+0.15)^2}=109.57

Therefore dividend yield =\frac[D1}{Price} = \frac{4.2(1.2)}{109.57}=4.6%

5 0
3 years ago
America's basic cold war strategy emerged when the Truman administration adopted the recommendations of U.S. diplomat and Soviet
Goshia [24]

Answer:

The containment doctrine.

Explanation:

American government's fear of Soviet expansion (communism) triggered the entrance of the US into the cold war. During the 1940s the US developed an strategy of nuclear deterrence since it lacked sufficient amount of troops to confront the Soviet army in eastern Europe. The Truman Doctrine helped to expand the cold war to the whole world.

3 0
3 years ago
A hospital reports the following cost and revenue data: Variable cost per inpatient day of $250 Revenue per inpatient day of $10
REY [17]

Answer:

Expected profit at a volume of 25,000 inpatient days = $3,750,000.00

Explanation:

The expected profit is calculated as follows:

<em>Step 1</em>

<em>Total contribution per inpatient from 25,000 inpatients</em>

contribution = (revenue - variable cost) per patient

= $(1000-250)

= $750 per inpatient day

<em>Total contribution for 25,000 inpatient days</em>

$750 × 25000 =  $18,750,000.00

<em>Step 2</em>

<em>Calculate Profit </em>

Profit = Total contribution - Fixed cost

         =$18,750,000.00 -$15,000,000

        =  $3,750,000.00

Expected profit at a volume of 25,000 inpatient days = $3,750,000.00

4 0
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