2. Given: Q 100K".“L08; w = 50; r = 80; Qo = 2,000 w a. Solve for the MRTSK and the market rate of exchange for inputs (). Interpret your PLK computed values. b. Using Lagrange Multiplier Method, solve for L', K , and C'. c. If target output increases to Q, = 4,000, calculate the effects on the cost-minimizing values of L , K , and C . d. Graphically illustrate the expansion path for the firm if it decides to increase its target output to Q, = 4,000.
2. Given: Q 100K".“L08; w = 50; r = 80; Qo = 2,000 w a. Solve for the MRTSK and the market rate of exchange for inputs (). Interpret your PLK computed values. b. Using Lagrange Multiplier Method, solve for L', K , and C'. c. If target output increases to Q, = 4,000, calculate the effects on the cost-minimizing values of L , K , and C . d. Graphically illustrate the expansion path for the firm if it decides to increase its target output to Q, = 4,000.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![2. Given: Q
100K".“L08; w = 50; r = 80; Qo = 2,000
w
a. Solve for the MRTSK and the market rate of exchange for inputs (). Interpret your
PLK
computed values.
b. Using Lagrange Multiplier Method, solve for L', K , and C'.
c. If target output increases to Q, = 4,000, calculate the effects on the cost-minimizing
values of L , K , and C .
d. Graphically illustrate the expansion path for the firm if it decides to increase its target
output to Q, = 4,000.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77bd68f2-0b0c-49f0-879a-c9222f3de79f%2Fb383f50e-28c8-4c4c-ac6a-ca998e6b18b1%2Frznsy5c_processed.png&w=3840&q=75)
Transcribed Image Text:2. Given: Q
100K".“L08; w = 50; r = 80; Qo = 2,000
w
a. Solve for the MRTSK and the market rate of exchange for inputs (). Interpret your
PLK
computed values.
b. Using Lagrange Multiplier Method, solve for L', K , and C'.
c. If target output increases to Q, = 4,000, calculate the effects on the cost-minimizing
values of L , K , and C .
d. Graphically illustrate the expansion path for the firm if it decides to increase its target
output to Q, = 4,000.
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