A linear programming computer package is needed.

supplier. Manufacturing and purchase costs per unit are shown.

available capacity $($in hours$)$ for the three departments are as follows.

minutes per unit.$)$

Min

Cutting constraint

Milling constraint

Shaping constraint

Frame constraint

Support constraint

Strap constraint

$FM,FP,SM,SP,TM,TP0$

How many of each component should be manufactured and how many should be purchased? $($Round your answers to the nearest whole number.$)$

$(FM,FP,SM,SP,TM,TP)=(,)$

$($b$)$ What is the total cost $($in $$)$ of the manufacturing and purchasing plan?

$

$($c$)$ How many hours of production time are used in each department? $($Round your answers to two decimal places.$)$

Cutting

hrs

Milling

hrs

Shaping

hrs

$($d$)$ How much $($in $$)$ should Frandec be willing to pay for an additional hour of time in the shaping department?

$

your answer to three decimal places.$)$

$|.$ The reduced cost of