Chapter 5, Problem 16RP

a.

Explanation of Solution

Optimal solution

• Let $\text{pi}$ be the units of product PS produced in month $\text{i}$, ${\text{p}}_{\text{is}}$ be the units of PS sold in month $\text{i}$.
• ${\text{IP}}_{\text{i}}$ be the inventory of product P at end of month $\text{i}$.
• ${\text{Q}}_{\text{i}}$ be the units of product QT produced in month $\text{i}$ and ${\text{Q}}_{\text{is}}$ be the units of QT sold in month $\text{i}$

b.

Explanation of Solution

Optimal solution

• Let $\text{pi}$ be the units of product PS produced in month $\text{i}$, ${\text{p}}_{\text{is}}$ be the units of PS sold in month $\text{i}$.
• ${\text{IP}}_{\text{i}}$ be the inventory of product P at end of month $\text{i}$.
• ${\text{Q}}_{\text{i}}$ be the units of product QT produced in month $$

c.

Explanation of Solution

Profit

• Let $\text{pi}$ be the units of product PS produced in month $\text{i}$, ${\text{p}}_{\text{is}}$ be the units of PS sold in month $\text{i}$.
• ${\text{IP}}_{\text{i}}$ be the inventory of product P at end of month $\text{i}$.
• ${\text{Q}}_{\text{i}}$ be the units of product QT produced in month $\text{i}$ and

d.

Explanation of Solution

Pay for an extra hour

• From the output, the dual variable for row 3 is +10 $ per hour...

e.

Explanation of Solution

Pay for an extra hour

• From the output, there is 30 hours of slack in row 4.
• Thus it imposes restric...

f.

Explanation of Solution

Optimal solution

• Let $\text{pi}$ be the units of product PS produced in month $\text{i}$, ${\text{p}}_{\text{is}}$ be the units of PS sold in month $\text{i}$.
• ${\text{IP}}_{\text{i}}$ be the inventory of product P at end of month $\text{i}$.
• ${\text{Q}}_{\text{i}}$ be the units of product QT produced in month $\text{i}$ and ${\text{Q}}_{\text{is}}$ be the units of QT sold in month $\text{i}$

g.

Explanation of Solution

Optimal solution

• Let $\text{pi}$ be the units of product PS produced in month $\text{i}$, ${\text{p}}_{\text{is}}$ be the units of PS sold in month $\text{i}$.
• ${\text{IP}}_{\text{i}}$ be the inventory of product P at end of month $\text{i}$.
• ${\text{Q}}_{\text{i}}$ be the units of product QT produced in month $\text{i}$

h.

Explanation of Solution

Optimal solution

• Let $\text{pi}$ be the units of product PS produced in month $\text{i}$, ${\text{p}}_{\text{is}}$ be the units of PS sold in month $\text{i}$.
• ${\text{IP}}_{\text{i}}$ be the inventory of product P at end of month $\text{i}$.
• ${\text{Q}}_{\text{i}}$ be the units of product QT produced in month $\text{i}$ and ${\text{Q}}_{\text{is}}$ be the units of QT sold in month $\text{i}$

i.

Explanation of Solution

Optimal solution

• Let $\text{pi}$ be the units of product PS produced in month $\text{i}$, ${\text{p}}_{\text{is}}$ be the units of PS sold in month $\text{i}$.
• ${\text{IP}}_{\text{i}}$ be the inventory of product P at end of month $\text{i}$.
• ${\text{Q}}_{\text{i}}$ be the units of product QT produced in month $\text{i}$ and