Chapter 5, Problem 2RP

a.

Explanation of Solution

Profit

• Let ${\text{x}}_{\text{1}}$ be the number of Type 1 gems produced and ${\text{x}}_{\text{2}}$ be the number of Type 2 gems produced.
• The new optimum solution value or profit is calculated by the given formula:

  $\text{New value = Old value – }\left(\text{Key column value × Key row value}\right)\text{ / Key value}$

b.

Explanation of Solution

Optimum solution

• Let ${\text{x}}_{\text{1}}$ be the number of Type 1 gems produced and ${\text{x}}_{\text{2}}$ be the number of Type 2 gems produced.
• The new optimum solution value or profit is calculated by the given formula:

  $\text{New value = Old value – }\left(\text{Key column value × Key row value}\right)\text{ / Key value}$

c.

Explanation of Solution

Profit

• Let ${\text{x}}_{\text{1}}$ be the number of Type 1 gems produced and ${\text{x}}_{\text{2}}$ be the number of Type 2 gems produced.
• The new optimum solution value or profit is calculated by the given formula:

  $\text{New value = Old value – }\left(\text{Key column value × Key row value}\right)\text{ / Key value}$