Here is problem 4-28:

-29. Consider the Classic Furniture product mix problem (Problem 4-28). For each of the following situations, what would be the impact on the production plan and profit? If it is possible to compute the new profit or production plan, do so. (a) The unit profit for oak tables increases to $83. (b) The unit profit for pine chairs decreases to $13. (c) The unit profit for pine tables increases by $20. (d) The unit profit for cherry tables decreases to $85. (e) The company is required to make at least 20 pine chairs. (f) The company is required to make no more than 55 cherry chairs. Figure 4.32: Excel Layout for Classic Furniture Company 8. The Classic Furniture Company is trying to determine the optimal quantities to make of six possible products: tables and chairs made of oak, cherry, and pine. The products are to be made using the following resources: labor hours and three types of wood. Minimum production requirements are as follows: at least 3 each of oak and cherry tables, at least 10 each of oak and cherry chairs, and at least 5 pine chairs. The Excel layout and LP Sensitivity Report for Classic Furniture's problem are shown in Figure 4.32 and 4.33, respectively. The objective function coefficients in the figures refer to unit profit per item. Each of the following questions is independent of the others. (a) What is the profit represented by the objective function, and what is the production plan? (b) Which constraints are binding? (c) What is the range over which the unit profit for oak chairs can change without changing the production plan? (d) What is the range over which the amount of available oak could vary without changing the combination of binding constraints? (e) Does this Sensitivity Report indicate the presence of multiple optima? How do you know? (f) After production is over, how many pounds of cherry wood will be left over? (g) According to this report, how many more chairs were made than were required? Microsoft Excel 14.0 Sensitivity Report Problems 4-28to32. Classic Furniture Company Jaciable nalle Figure 4.33: Solver Sensitivity Report for Classic Furniture Company