there are $75,90,$ and $80$ units $($in thousands$)$ regular production workforce per month

for products $C{T}_1,C{T}_2,$ and $C{T}_3,$ respectively. The costs for the tires are as follows.

The resource limitations $($in thousands$)$ of the company are listed below.

Determine the production plan for the next three months, where the forecasted demand

$($in thousands$)$ for each product for each month as follows:

$6\mathrm{.}4$ Consider exercise $3\mathrm{.}1.$ Consider three objectives$-$total cost, total inventory fluctua$-$

tions, and total backlog fluctuations$-$where the ideal inventory and ideal total back$-$

orders are both zero. Suppose the weights of importance for the normalized objective

values are $(0\mathrm{.}4,0\mathrm{.}3,0\mathrm{.}3).$ Solve the nonlinear optimization problem to determine the

optimal cost.