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

A furniture company manufactures desks and

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 Solver to maximize the company's profit. a. What is the optimized company's profit? $ 103750 b. Select the appropriate graph to confirm that the solution in part a maximizes the company's profit. 0 Chairs Wood constraint Optimal solution: (500,125) Marketing constraint (slope 4) Desks (ii) Chairs Wood constraint Optimal solution: (125,500) Marketing constraint (slope 4) Desks (iii) Chairs Marketing constraint (slope 4) Optimal solution: (125,500) Wood constraint Desks (iv) Chairs Marketing constraint (slope 4) Optimal solution: (500,125) Wood constraint Desks Graph (iii) c. Use Solver Table 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. $ 51.875

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