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18. You are a manager at Spacely Sprocketsa small firm that manufactures Type A and Type B bolts. The accounting and marketing departments have provided you with the following information about the per-unit costs and demand for Type A bolts: Accounting Data for Type A Bolts Item Unit Cost Marketing Data for Type A Bolts Quantity Price 0 $10 Materials and labor Overhead $2.75 5.00 9 1 2 3 8 Total cost per unit $7.75 7 4 6 5 5 Materials and labor are obtained in a competitive market on an as-needed basis, and the reported costs per unit for materials and labor are constant over the relevant range of output. The reported unit overhead costs reflect the $10 spent last month on machines, divided by the projected output of 2 units that was planned when the machines were purchased. In addition to the above information, you know that the firm's assembly line can produce no more than five bolts. Since the firm also makes Type B bolts, this means that each Type A bolt produced reduces the number of Type B bolts that can be produced by one unit; the total number of Types A and B bolts pro- duced cannot exceed 5 units. A call to a reputable source has revealed that unit costs for producing Type B bolts are identical to those for producing Type A bolts and that Type B bolts can be sold at a constant price of $4.75 per unit. Determine your relevant marginal cost of producing Type A bolts and your profit-maximizing production of Type A bolts. (L03) 18. You are a manager at Spacely Sprocketsa small firm that manufactures Type A and Type B bolts. The accounting and marketing departments have provided you with the following information about the per-unit costs and demand for Type A bolts: Accounting Data for Type A Bolts Item Unit Cost Marketing Data for Type A Bolts Quantity Price 0 $10 Materials and labor Overhead $2.75 5.00 9 1 2 3 8 Total cost per unit $7.75 7 4 6 5 5 Materials and labor are obtained in a competitive market on an as-needed basis, and the reported costs per unit for materials and labor are constant over the relevant range of output. The reported unit overhead costs reflect the $10 spent last month on machines, divided by the projected output of 2 units that was planned when the machines were purchased. In addition to the above information, you know that the firm's assembly line can produce no more than five bolts. Since the firm also makes Type B bolts, this means that each Type A bolt produced reduces the number of Type B bolts that can be produced by one unit; the total number of Types A and B bolts pro- duced cannot exceed 5 units. A call to a reputable source has revealed that unit costs for producing Type B bolts are identical to those for producing Type A bolts and that Type B bolts can be sold at a constant price of $4.75 per unit. Determine your relevant marginal cost of producing Type A bolts and your profit-maximizing production of Type A bolts. (L03)