1) Miguel and Jake run a paper company. Each week they need to produce 1,000 reams of paper to ship to their customers. The paper plant's long-run production function is: q = 4K L% where q is the number of reams produced, Kis the quantity of capital rented, and L is the quantity of labor hired. -(주)" For this production, MP, = and MP, = 3 The weekly cost function for the paper plant is C= 10K +2L where C is the total weekly cost

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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1) Miguel and Jake run a paper company. Each week they need to produce 1,000
reams of paper to ship to their customers. The paper plant's long-run
production function is: q = 4K L where q is the number of reams produced,
Kis the quantity of capital rented, and L is the quantity of labor hired.
For this production, MP, = and MP, =
The weekly cost function for the paper plant is C= 10K +2L where C is the
total weekly cost
What ratio of capital to labor minimizes Miguel and Jake's total
costs? (Hint: Find the Marginal Rate of Technical Substitution (MRTS) for
capital and labor.)
b.
How much capital and labor will Miguel and Jake need to rent and
hire in order to produce 1,000 reams of paper each week? How much
will hiring these inputs cost them?
Transcribed Image Text:1) Miguel and Jake run a paper company. Each week they need to produce 1,000 reams of paper to ship to their customers. The paper plant's long-run production function is: q = 4K L where q is the number of reams produced, Kis the quantity of capital rented, and L is the quantity of labor hired. For this production, MP, = and MP, = The weekly cost function for the paper plant is C= 10K +2L where C is the total weekly cost What ratio of capital to labor minimizes Miguel and Jake's total costs? (Hint: Find the Marginal Rate of Technical Substitution (MRTS) for capital and labor.) b. How much capital and labor will Miguel and Jake need to rent and hire in order to produce 1,000 reams of paper each week? How much will hiring these inputs cost them?
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