Consider the following production function for shirts: q = v6 L3/4K1/4, where L is worker-hours, and K is sewing machine-hours. a. Compute the marginal products of labor and capital, the average product of labor, and the marginal rate of technical substitution of labor for capital (i.e. how many units of capital are needed to make up for the loss of one unit of labor)? b. Are there diminishing returns to labor (that is, does the marginal product of labor decrease when labor L increases)? What about to capital? c. Is there diminishing marginal rate of technical substitution (MRTS)?

ENGR.ECONOMIC ANALYSIS
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Consider the following production function for shirts: q = v6 L3/4K/4, where L is worker-hours, and K is sewing
machine-hours.
a. Compute the marginal products of labor and capital, the average product of labor, and the marginal rate of
technical substitution of labor for capital (i.e. how many units of capital are needed to make up for the loss
of one unit of labor)?
b. Are there diminishing returns to labor (that is, does the marginal product of labor decrease when labor L
increases)? What about to capital?
Is there diminishing marginal rate of technical substitution (MRTS)?
с.
Transcribed Image Text:Consider the following production function for shirts: q = v6 L3/4K/4, where L is worker-hours, and K is sewing machine-hours. a. Compute the marginal products of labor and capital, the average product of labor, and the marginal rate of technical substitution of labor for capital (i.e. how many units of capital are needed to make up for the loss of one unit of labor)? b. Are there diminishing returns to labor (that is, does the marginal product of labor decrease when labor L increases)? What about to capital? Is there diminishing marginal rate of technical substitution (MRTS)? с.
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