PT

$-$

$2$

$0$

$0$

$$Production PT

$-$

$3$

$0$

$0$

$$Production Combined PT

$-$

$1$

$0$

$0$

$$and PT

$-$

$2$

$0$

$0$

$$Production Mexico Plant Combined PT

$-$

$1$

$0$

$0$

$$and PT

$-$

$2$

$0$

$0$

$$Production Philippines Plant PT

$-$

$3$

$0$

$0$

$$Production Mexico Plant PT

$-$

$3$

$0$

$0$

$$Production Philippines Plant

$$

$1$

$,$

$$

$2$

$,$

$$

$3$

$,$

$$

$1$

$,$

$$

$2$

$,$

$$

$3$

$>=$

$0$

$($

b

$)$

$$Solve the linear program developed in part

$($

a

$)$

$$to determine the optimal production plan.

$($

$$

$1$

$,$

$$

$2$

$,$

$$

$3$

$,$

$$

$1$

$,$

$$

$2$

$,$

$$

$3$

$)$

$=$

$($

$$

$)$

$$What is total cost of the production plan

$($

in dollars

$)$

$.$

$($

Round your answer to the nearest dollar.

$)$

$$$ plant. It would have to decrease by more than $ per unit. It would have to decrease by more than $ per unit.phones. The contract calls for the following. production equipment and wage rates. The unit costs for each battery pack at each manufacturing plant are as follows. unit. Mexico plant,

$$

$3$

$=$

$$number of PT

$-$

$3$

$0$

$0$

$$battery packs produced at the Mexico plant.

$)$

$$Min s

$.$

t

$.$

$$PT

$-$

$1$

$0$

$0$

$$Production PT

$-$

$2$

$0$

$0$

$$Production PT

$-$

$3$

$0$

$0$

$$Production Combined PT

$-$

$1$

$0$

$0$

$$and PT

$-$

$2$

$0$

$0$

$$Production Mexico Plant Combined PT

$-$

$1$

$0$

$0$

$$and PT

$-$

$2$

$0$

$0$

$$Production Philippines Plant PT

$-$

$3$

$0$

$0$

$$Production Mexico Plant PT

$-$

$3$

$0$

$0$

$$Production Philippines Plant M

$1$

$,$

$$M

$2$

$,$

$$M

$3$

$,$

$$P

$1$

$,$

$$P

$2$

$,$

$$P

$3$

$>$

$=$

$0$

$($

b

$)$

$$Solve the linear program developed in part

$($

a

$)$

$$to determine the optimal production plan.

$($

M

$1$

$,$

$$M

$2$

$,$

$$M

$3$

$,$

$$P

$1$

$,$

$$P

$2$

$,$

$$P

$3$

$)$

$=$

$$What is total cost of the production plan

$($

in dollars

$)$

$.$

$($

Round your answer to the nearest dollar.

$)$

$$$

$($

c

$)$

$$Use sensitivity analysis to determine how much the production and

$/$

or shipping cost per unit

$($

in dollars per unit

$)$

$$would have to change to produce additional units of the PT

$-$

$1$

$0$

$0$

$$in the Philippines plant. It would have to decrease by more than $ per unit.

$($

d

$)$

$$Use sensitivity analysis to determine how much the production and

$/$

or shipping cost per unit

$($

in dollars per unit

$)$

$$would have to change to produce additional units of the PT

$-$

$2$

$0$

$0$

$$in the Mexico plant. It would have to decrease by more than $ per unit.

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