The Aggregate Production Planning Assignment Fall $2024$

Production quantities and workforce levels need to be determined for the product for each of the product families for the next twelve months appear below, along $\backslash (\backslash$mathbf$\{$w$\}\backslash )$

Your job is to construct a feasible, low cost production plan. As a guide, feasible $\backslash (]\backslash )$ three Pure Strategies appear on the following pages.

$*$ units$/$hour

Regulartime Labor Cost $\backslash (=\backslash$mathbf$\{\backslash$$ $5,000\}\backslash )$ I

Regulartime Hours Available $=161$

Overtime Labor Cost $=\backslash$$$45$ per ho Overtime Hours Available $=40$ hol

All demand must be met by the enc The workforce size is $70$ workers a

To earn the production exceeded$)\backslash ($ A $\backslash )$

Three point feasible but tion of three product families. The demands ith other important information.

production plans based on each of the

Jer worker$/$month $\backslash (\backslash$quad $\backslash )$ Hiring Cost $\backslash (=\backslash$$ $6,000\backslash )$ per worker

J hours$/$worker$/$month Layoff Cost $\backslash (=\backslash$$ $7,000\backslash )$ per worker

ur

urs per worker per month

$1$ of the Month $12.$

t the beginning of the Month $1.$

designated number of points, your

plan must be feasible $($capacity is never

IND the computed cost of your plan must be correct.

ts will be deducted from your score if your plan is not costed correctly. Names:

Regular Labor Cost$/$Manth$-$

Regualr Labor$/$Hr Month$=$ Overtime cost$/$hr$-$

Max Overtime'worker$/$Month$-$

$5,000$

$-160$ hr

$\backslash$$ $45$

$40$ hr

$\backslash$begin$\{$tabular$\}\{|$l$|$c$|\}$

$\backslash$hline Family & Production Rate$/$Hour $\backslash \backslash$

$\backslash$hline A & $4\backslash \backslash$

$\backslash$hline E & $5\backslash \backslash$

$\backslash$hline C & $8\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Total Cost $\backslash (=\backslash )$