The short-run production function (as a function of l) is q = 8l + 300 and marginal product of labor is dq/dl = 8
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a linear production function:
q = f(l, k) = 8l + 2k
Here the value of k is not given, so we are assuming the value of fixed input k is 150
q = 8l + 2(150)
q = 8l + 300
Differentiate the above function with respect to l
Marginal product of labor = dq/dl = 8
Thus, the short-run production function (as a function of l) is q = 8l + 300 and marginal product of labor is dq/dl = 8
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