capital are given as: MPL = (0.75)(0.25)Kº.25 L-0.25 MPK = (0.25)(0.25)K-0.75L0.75 a. Construct the isocost equation. b. Determine the appropriate input mix to get the greatest output for an outlay of R150,000 for a production run of memo pads. c. Compute the level of output.
capital are given as: MPL = (0.75)(0.25)Kº.25 L-0.25 MPK = (0.25)(0.25)K-0.75L0.75 a. Construct the isocost equation. b. Determine the appropriate input mix to get the greatest output for an outlay of R150,000 for a production run of memo pads. c. Compute the level of output.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Please all 3 sub-questions and round off to 2 decimal places
![Question 1
TYPO produces memo pads in its local shop. The company can rent its equipment and hire
workers at competitive rates. Equipment needed for this operation can be rented at R52 per
hour, and labour can be hired at R12 per worker hour. The company has allocated R150,000
for the initial run of memo pads. The production function using available technology can be
expressed as:
Q=0.25K0.25 L0.75,
where Q represents memo pads (boxes per hour), K denotes capital input (units per hour), and
L denotes labour input (units of worker time per hour). The marginal products of labour and
capital are given as:
MPL = (0.75)(0.25) K⁰.25 L-0.25
MPK = (0.25)(0.25)K-0.75L0.75
a.
Construct the isocost equation.
b. Determine the appropriate input mix to get the greatest output for an outlay of
R150,000 for a production run of memo pads.
c. Compute the level of output.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29ae98b3-047f-41bd-9ecb-88679b6cd51b%2F4bc132cb-01be-45c6-84fa-cbf0af426b56%2Flfifbqc.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
TYPO produces memo pads in its local shop. The company can rent its equipment and hire
workers at competitive rates. Equipment needed for this operation can be rented at R52 per
hour, and labour can be hired at R12 per worker hour. The company has allocated R150,000
for the initial run of memo pads. The production function using available technology can be
expressed as:
Q=0.25K0.25 L0.75,
where Q represents memo pads (boxes per hour), K denotes capital input (units per hour), and
L denotes labour input (units of worker time per hour). The marginal products of labour and
capital are given as:
MPL = (0.75)(0.25) K⁰.25 L-0.25
MPK = (0.25)(0.25)K-0.75L0.75
a.
Construct the isocost equation.
b. Determine the appropriate input mix to get the greatest output for an outlay of
R150,000 for a production run of memo pads.
c. Compute the level of output.
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