Problem T$5-4$

A company manufactures two types of toys: trucks and cars. Each truck requires $1$ minute of molding time, $2$ minutes of painting time, and $1$ minute of packing time. Each car requires $2$ minutes of molding time, $1$ minute of painting time, and $2$ minutes of packing time. There are a maximum of $300$ minutes of molding time, $400$ minutes of painting time, and $400$ minutes of packing time available each day. Both cars and trucks contribute $$1$ per unit to profit.

a$.$ Formulate this problem.

Maximize:

T $+$

C

Subject to:

Molding

T $+$

C $<=$

Painting

T $+$

C $<=$

Packing

T $+$

C $<=$

$>=$

$>=$

b$.$ The optimal solution is:

$($Instructions: Round your answer to two decimal places where necessary.$)$

T $=$

C $=$

Objective function $=$

c$.$ Which constraints are binding and what are the shadow prices and allowable increases and decreases?

The binding constraints are:

check all that apply

Paintingunanswered