Note: please answer part b,c,d   1st part answer already complete you can take reference from it   Given:   U(x,y) = x0.25 y0.75   MUx=0.25 x-0.75 y0.75   MUy = 0.75 x0.25 y-0.25   Px=2   Py=12       a)Find the minimum cost to reach a utility of 1,189.   b)Now assume that Px increases to 4 and find the new   minimum cost.   c) What is the savings from substitution in part b)?   d) From the part a) outcome, what lower Py would allow   a utility of 2,000?

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter5: Business And Economic Forecasting
Section: Chapter Questions
Problem 7E: The Questor Corporation has experienced the following sales pattern over a 10-year period: Compute...
icon
Related questions
Question

 

Note: please answer part b,c,d  

1st part answer already complete you can take reference from it

 

Given:

 

U(x,y) = x0.25 y0.75

 

MUx=0.25 x-0.75 y0.75

 

MUy = 0.75 x0.25 y-0.25

 

Px=2

 

Py=12

 

 

 

a)Find the minimum cost to reach a utility of 1,189.

 

b)Now assume that Px increases to 4 and find the new

 

minimum cost.

 

c) What is the savings from substitution in part b)?

 

d) From the part a) outcome, what lower Py would allow

 

a utility of 2,000?

For cost minimization:
MU
MU. =
0.25 x-0.75 y0.75
0.75 r025 y-0.25
2y = x
y =
Let the income that is I= 16,000
Budget equation can be written as :
I = Px.x + Py.y
16, 000 %3D 2х + 12y
16, 000 = 2x + 12.
16, 000 = 2x + 6x
x = 2,000
у- 1,000
At x =2,000 and y= 1,000 Utility 1187.89
Answer: So cost will be minimizes at x=2,000
and y=1,000
Transcribed Image Text:For cost minimization: MU MU. = 0.25 x-0.75 y0.75 0.75 r025 y-0.25 2y = x y = Let the income that is I= 16,000 Budget equation can be written as : I = Px.x + Py.y 16, 000 %3D 2х + 12y 16, 000 = 2x + 12. 16, 000 = 2x + 6x x = 2,000 у- 1,000 At x =2,000 and y= 1,000 Utility 1187.89 Answer: So cost will be minimizes at x=2,000 and y=1,000
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Utility Maximization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning