Refer to the Kelson Sporting Equipment problem $($Chapter $2,$ Problem $24).$ Letting

R $=$

number of regular gloves

C $=$

number of catcher$$s mitts

leads to the following formulation:

Max

$5$

R

$+$

$8$

C

s$.$t$.$

R

$+$

$3$

$2$

C

$<=$

$900$

Cutting and dyeing

$1$

$2$

R

$+$

$1$

$3$

C

$<=$

$300$

Finishing

$1$

$8$

R

$+$

$1$

$4$

C

$<=$

$100$

Packaging and shipping

R$,$C$>=0$

The computer solution is shown in Figure $3\mathrm{.}13.$

Figure $3\mathrm{.}13$

Details

The Solution for the Kelson Sporting Equipment Problem

What is the optimal solution, and what is the value of the total profit contribution?

Which constraints are binding?

What are the dual values for the resources? Interpret each.

If overtime can be scheduled in one of the departments, where would you recommend doing so$?$