A linear programming computer package is needed.

straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown.

departments are as follows.

$SP=$ number of supports purchased, $TM=$ number of straps manufactured, and $TP=$ number of straps purchased. Express time in minutes per unit.$)$

Min $$

Cutting constraint

Milling constraint

Shaping constraint

Frame constraint

The photo is cut off. Here's Everything else "Strap constraint

FM$,$ FP$,$ SM$,$ SP$,$ TM$,$ TP $>=0$

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?

$

$($e$)$

Another manufacturer has offered to sell frames to Frandec for $$45$ each. Could Frandec improve its position by pursuing this opportunity? Why or why not? $($Round your answer to three decimal places.$)$

$---$Select$---$

$.$ The reduced cost of

indicates that the solution

$---$Select$---$

be improved."