Chapter 3, Problem 20RP

Explanation of Solution

Linear Programming (LP) to maximize the profit:

• Assume the following,
  • Let “${\text{TS}}_{\text{1}}$” be the acres of tract “1” used for spruce trees.
  • Let “${\text{TH}}_1$” be the acres of tract “1” used for hunting.
  • Let “${\text{TSH}}_1$” be the acres of tract “1” used for both spruce trees and hunting.
  • Let “${\text{TS}}_2$” be the acres of tract “2” used for spruce trees.
  • Let “${\text{TC}}_2$” be the acres of tract “2” used for camping.
  • Let “${\text{TSC}}_2$” be the acres of tract “2” used for spruce trees and camping.
• The LP to maximize the profit received from the two tracts is as follows,

  $\text{Maximize z = 0}{\text{.2TS}}_{\text{1}}\text{+0}{\text{.4TH}}_1\text{+0}{\text{.5TSH}}_{\text{1}}\text{+0}{\text{.06TS}}_{\text{2}}\text{+0}{\text{.09TC}}_{\text{2}}+1$