calls for the following.

$\begin{array}{cc}\text{B}\text{a}\text{t}\text{t}\text{e}\text{r}\text{y}\text{P}\text{a}\text{c}\text{k}& \text{P}\text{r}\text{o}\text{d}\text{u}\text{c}\text{t}\text{i}\text{o}\text{n}\text{Q}\text{u}\text{a}\text{n}\text{t}\text{i}\text{t}\text{y}\\ ?& PT-100\\ 202& 000\\ PT-200& 101\\ 000& PT-300\\ 149& 000\end{array}$

and wage rates. The unit costs for each battery pack $at$ each manufacturing plant are $as$ follows.

$\begin{array}{cc}\text{P}\text{r}\text{o}\text{d}\text{u}\text{c}\text{t}& \text{P}\text{h}\text{i}\text{l}\text{i}\text{p}\text{p}\text{i}\text{n}\text{e}\text{s}\\ \text{M}\text{e}\text{x}\text{i}\text{c}\text{o}& PT-100\\ \text{\$}0\mathrm{.}95& \text{\$}0\mathrm{.}98\\ PT-200& \text{\$}0\mathrm{.}98\\ \text{\$}1\mathrm{.}06& PT-300\\ \text{\$}1\mathrm{.}34& \text{\$}1\mathrm{.}15\end{array}$

$100,000$ units $at$ the Mexico plant. The cost $of$ shipping from the Philippines plant $is$ $$0\mathrm{.}18$ per unit, and the cost $of$ shipping from the Mexico plant $is$ $$0\mathrm{.}10$ per unit.

Mexico 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.

What $is$ total cost $of$ the production plan $(in$ dollars$).(Round$ your answer $to$ the nearest dollar.$)$

$

$It$ would have $to$ decrease $by$ more than $

per unit.

$It$ would have $to$ decrease $by$ more than $

per unit.