Suppose a firm uses labor and capital to produce output. The last unit of labor hired has a marginal product of 12 units of output, and the last unit of capital employed has a marginal product of 20 units. Use the optimal combination of inputs rule to calculate the price of capital if the price of labor is $6 per unit. The price of capital is

)a business incurs the following costs per unit: labor $125/unit, materials $45/unit, and rent $250,000/month. if the firm produces 1,000,000 units a month, calculate the following: a. total variable costs b. total fixed costs c. total costs

You are the manager of a large crude-oil refinery. as part of the refining process, a certain heat exchanger (operated at high temperatures and with abrasive material flowing through it) must be replaced every year. the replacement and downtime cost in the first year is $165 comma 000. this cost is expected to increase due to inflation at a rate of 7% per year for six years (i.e. until the eoy 7), at which time this particular heat exchanger will no longer be needed. if the company's cost of capital is 15% per year, how much could you afford to spend for a higher quality heat exchanger so that these annual replacement and downtime costs could be eliminated?

Suppose that a paving company produces paved parking spaces (q) using a fixed quantity of land (t) and variable quantities of cement (c) and labor (l). the firm is currently paving 1,000 parking spaces. the firm's cost of cement is $3 comma 600.003,600.00 per acre covered (c) and its cost of labor is $35.0035.00/hour (w). for the quantities of c and l that the firm has chosen, mp subscript upper c baseline equals 60mpc=60 and mp subscript upper l baseline equals 7mpl=7. is this firm minimizing its cost of producing parking spaces?