Problem $5$: $(30$ points$)$

SONYA Inc, a TV manufacturer is asking your help to develop an aggregate plan for JanuaryJune $2020.$ The company has collected the following data

$\backslash$table$[[$Cost: $($AED$),,,,$Othe,data,$],[$Inventory holding,$30/$TV$/$montl$,,,$Curre,nt workforce,$20$ workers$],[$Regular time,$20/$hour$,,,$Labo,hour$/$TV$,4$ hours$],[$Overtime$,80/$hours$,,,$Work,ing days$/$month$,20$ days$],[$Hiring$,2000/$worker$,,,$Work,ing hours$/$day$,8$ hours$],[$Firing$,5000/$worker$,,,,,],[$Mon$,$Mar,Apr,May,June,Total,$],[$Demand$,720,840,920,800,4800,]]$

Evaluate the following strategies

a$-$ Level strategy.

$\backslash$table$[[$Month$,$Jan,Feb,Mar,Apr,May,June$],[$Demand$,800,720,720,840,920,800],[$# workers,,,,,,$],[$Production$,,,,,,],[$Inventory$,,,,,,]]$

b$-$ Produce at constant rate to meet minimum demand. Use overtime when needed

$\backslash$table$[[$Month$,$Jan,Feb,Mar,Apr,May,June$],[$Demand$,800,720,720,840,920,800],[$# workers,,,,,,$],[$Production$,,,,,,],[$Overtime$,,,,,,]]$

c$-$ Chase strategy

$\backslash$table$[[$Month$,$Jan,Feb,Mar,Apr,May,June$],[$Demand$,800,720,720,840,920,800],[$# workers,,,,,,$],[$Production$,,,,,,],[$Hiring$,,,,,,],[$Firing$,,,,,,]]$