Question

A furniture company manufactures desks and chairs. Each desk uses four units of wood, and each chair uses three units of wood. A desk contributes $250 to profit, and a chair contributes $145. Marketing restrictions require that the number of chairs produced be at least four times the number of desks produced. There are 2,000 units of wood available.

Use SolverTable to see what happens to the decision variables and the total profit when the availability of wood varies from 1,000 to 3,000 in 100-unit increments. Based on your findings, how much would the company be willing to pay for each extra unit of wood over its current 2,000 units? How much profit would the company lose if it lost any of its current 2,000 units?

Round the answer to a whole dollar amount = $ ___

A company manufactures two types of trucks. Each truck must go through the painting shop and the assembly shop. If the painting shop was completely devoted to painting type 1 trucks, 650 per day could be painted, whereas if the painting shop was completely devoted to painting type 2 trucks, 550 per day could be painted. If the assembly shop was completely devoted to assembling truck 1 engines, 1,400 per day could be assembled, whereas if the assembly shop was completely devoted to assembling truck 2 engines, 1,000 per day could be assembled. It is possible, however, to paint both types of trucks in the painting shop. Similarly, it is possible to assemble both types in the assembly shop. Each type 1 truck contributes $2,500 to profit; each type 2 truck contributes $3,000.

Use Solver to maximize the company's profit.

Total Profit: $

Answer 1

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