Part III (5 points) Suppose a rm has the following production function: F (K,L] = AK%L%. In the short run, capital is xed at E = 10. Capital rents for $25 per unit per hour, labor can be hired for $9 per unit per hour, the level of total factor productivity is 3. (A) Each hour the rm needs to produce Q units of output to ship to their customers. Write out the rm's cost minimization problem. Be explicit in specifying the choice variable(s) and the constraint. (E) Find the rm's xed cost, variable cost, marginal cost, and average total cost functions (1 point each). (C) (Bonus Question] Use isocosts and isoquants to depict the rm's short-run expan- sion path. Explain the behavior of the shortrim total cost curve by analyzing how diminishing returns to labor aects the rm's cost as more units are produced