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.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
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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.
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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