Answer the following questions after you have worked problem 3-32 on p. 126 of PMS: 1. How many pine tables are produced at the optimum? (round up to nearest whole number) 2. At what unit selling price would you start producing oak tables? (enter numbers only, no $-sign) 3. Note that it takes 5 board feet of oak to make an oak chair. What is the maximum price you could justify paying for oak to make more chairs? (hint: look at the shadow price)

A furniture company manufactures tables and chairs. Each table and chair must be made entirely out of oak or entirely out of pine. A total of 25,000 board feet of oak and 20,000 board feet of pine are available. A table requires either 17 board feet of oak or 30 board feet of pine, and a chair requires either 5 board feet of oak or 13 board feet of pine. Each table can be sold for $1000, and each chair for $300. a. Determine how the company can maximize its revenue. b. Use SolverTable to investigate the effects of simultaneous changes in the selling prices of the products. Specifically, see what happens to the total revenue when the selling prices of oak products change by a factor 1+k1 and the selling prices of pine products change by a factor 1+k2. Revise your model from the previous problem so that you can use SolverTable to investigate changes in total revenue as k1 and k2 both vary from 0.3 to 0.3 in increments of 0.1. Can you conclude that total revenue changes linearly within this range? A furniture company manufactures tables and chairs. Each table and chair must be made entirely out of oak or entirely out of pine. A total of 25,000 board feet of oak and 20,000 board feet of pine are available. A table requires either 17 board feet of oak or 30 board feet of pine, and a chair requires either 5 board feet of oak or 13 board feet of pine. Each table can be sold for $1000, and each chair for $300. a. Determine how the company can maximize its revenue. b. Use SolverTable to investigate the effects of simultaneous changes in the selling prices of the products. Specifically, see what happens to the total revenue when the selling prices of oak products change by a factor 1+k1 and the selling prices of pine products change by a factor 1+k2. Revise your model from the previous problem so that you can use SolverTable to investigate changes in total revenue as k1 and k2 both vary from 0.3 to 0.3 in increments of 0.1. Can you conclude that total revenue changes linearly within this range