$FM,FP,SM,SP,TM,TP0$ A linear programming computer package is needed.

number of straps purchased. Express time in minutes per unit.$)$

Min $39FM+52FP+12\mathrm{.}5SM+16SP+7\mathrm{.}5TM+8\mathrm{.}5TP$

Cutting constraint $3\mathrm{.}5FM+1\mathrm{.}3SM+0\mathrm{.}8TM21000$

Milling constraint

Shaping constraint $3\mathrm{.}1FM+2\mathrm{.}6SM+1\mathrm{.}7TM40800$

Frame constraint $FM+FP=4,500$

Support constraint $SM+SP=9000$

Strap constraint $TM+TP=4,500$

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

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

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

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

$$321750$

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

$($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 $-$cdots. The reduced cost of indicates that the solution $--$ Select $-$ be improved.

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