Replace the March demand forecast

$5$

$1$

$0$

by C

$.$

During a

$4$

$6$

$-$

day period when there were

$1$

$2$

$0$

workers, the firm produced

$1$

$,$

$7$

$0$

$0$

$,$

$0$

$0$

$0$

cookies. Assume that there are

$1$

$0$

$0$

workers employed, and C cookies in inventory at the beginning of month

$1$

$($

January

$)$

$.$

Further assume that the inventory carrying cost cI

$=$

$

$0$

$.$

$1$

$0$

$/$

cookie

$/$

month

$,$

employee hiring cost cH

$=$

$

$1$

$0$

$0$

$/$

work

$,$

and cost of firing one worker cF

$=$

$

$2$

$0$

$0$

$/$

worker

$.$

It is required that the inventory level at the end of month

$1$

$2$

$($

December

$)$

is

$2$

C

$.$

$($

$1$

$)$

Mixed strategy

$($

allowing inventory and workforce changes from month to month

$)$

: Find an optimal plan

$($

using linear programming

$)$

to meet all monthly demands

$($

assuming back order not allowed

$)$

in order to minimize the total cost including employee hiring and firing costs and inventory carrying cost. show all solutionThe Mr

$.$

Meadows Cookie Company can obtain accurate forecasts for

$1$

$2$

months based on firm orders. These forecasts