Chapter 3, Problem 53RP

Explanation of Solution

LP to maximize the profit of Turkeyco:

• Assume the following,
  • Let “${\text{t}}_1$” be the number of purchased turkeys of type “1”.
  • Let “${\text{t}}_2$” be the number of purchased turkeys of type “2”.
  • Let “${\text{d}}_1$” be the pounds of dark meat contained in cutlet “1”.
  • Let “${\text{d}}_2$” be the pounds of dark meat contained in cutlet “2”.
  • Let “${\text{w}}_1$” be the pounds of white meat contained in cutlet “1”.
  • Let “${\text{w}}_2$” be the pounds of white meat contained in cutlet “2”.
• The Linear Programming (LP) to maximize the profit of Turkeyco is as follows,

$\text{Max}{\text{z=4(w}}_{\text{1}}{\text{+d}}_{\text{1}}){\text{+3(w}}_2{\text{+d}}_2)-10{\text{t}}_{\text{1}}-8{\text{t}}_2$

• The above function subject to the following conditions,
  • “${\text{w}}_{\text{1}}{\text{+d}}_{\text{1}}\le 50$” denotes that the at most demands of cutlet “1” must be “50”