Chapter 3, Problem 39RP

Explanation of Solution

To maximize the profit of Carrotco:

• Let “${\text{Pr}}_{\text{m}}$” be the product “m” manufactured.
• Let “${\text{R}}_{\text{m}}$” be the raw material “m” purchased.
• The objective function to maximize the profit of Carrotco is as follows,

  ${\text{max z=30Pr}}_{\text{1}}{\text{+35Pr}}_2-4{\text{R}}_{\text{1}}-5{\text{R}}_2$

• The above function subject to the following condition,

  $\begin{array}{l}\text{0}{\text{.6Pr}}_{\text{1}}\text{+0}{\text{.4Pr}}_{\text{2}}\le \text{200}\text{(Time}\text{constraint}\text{on}\text{Machine"1")}\\ \text{0}{\text{.4Pr}}_{\text{1}}\text{+0}{}_{}\end{array}$