Woodco manufactures tables and chairs. Each table and chair must be made entirely out of oak or entirely out of pine. A total of 150 board feet of oak and 210 board feet of pine are available. A table...

Woodco manufactures tables and chairs. Each table and chair must be made entirely out of oak or entirely out of pine. A total of 150 board feet of oak and 210 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 $40, and each chair for $15.

 a. Determine how Woodco can maximize its revenue.

 b. Suppose you want to investigate the effects of simultaneous changes in the selling prices of the products. Specifically, you want to 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 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. Would you conclude that total revenue changes linearly within this range?