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(A). Trisha believes the production of a dress requires 4 labor hours and 2 machine hours to produce. If Trisha decides to operate in the short run, she must spend $500 to lease her business space. Also, a labor hour costs $15 and a machine hour costs $35. What is Trisha's cost of production as a function of dresses produced? Write down the formulas for AFC, AVC, AC and MC. [5 points] (B). Given a Cobb-Douglas production function q= L0.3 Ko, prove that there are positive and diminishing marginal returns of inputs and constant returns to scale for this function. [5 points] (C). Suppose the production function is q = 12 L0.25K0.75. Determine the long-run capital-to-labor ratio (K/L) if the cost a unit of capital (r) is three times the cost of a unit of labor (w). [5 points]_