1. Suppose the production function for trucks is given by: q = kl + 6l² - 13 where q represents the weekly quantity of trucks produced, k represents weekly capital input, and I represents weekly labor input. a. Suppose k = 45; at what level of labor input does this average productivity reach a maximum? How many trucks are produced at that point? b. Again assuming that k = 45, at what level of labor input does the total production reach a maximum? How many trucks are produced at that point?

Microeconomic Theory
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Chapter9: Production Functions
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1. Suppose the production function for trucks is given by: q = kl + 6l² – - 13
3
where q represents the weekly quantity of trucks produced, k represents weekly capital
input, and I represents weekly labor input.
a. Suppose k = 45; at what level of labor input does this average productivity reach a
maximum? How many trucks are produced at that point?
b. Again assuming that k = 45, at what level of labor input does the total production
reach a maximum? How many trucks are produced at that point?
Transcribed Image Text:1. Suppose the production function for trucks is given by: q = kl + 6l² – - 13 3 where q represents the weekly quantity of trucks produced, k represents weekly capital input, and I represents weekly labor input. a. Suppose k = 45; at what level of labor input does this average productivity reach a maximum? How many trucks are produced at that point? b. Again assuming that k = 45, at what level of labor input does the total production reach a maximum? How many trucks are produced at that point?
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