Please solve Task $5$

Task $5$: Sask Trailers assembles different types of small camping trailers demanded between

January and June of each year. The demand generally peaks in April and May. Next year's

aggregate demand forecast beyond the regular capacity is given in the following table:

Month

Forecasted Demand above

$1$

$2$

$3$

$4$

$5$

$6$

Total

reqular capacity

$540$

$570$

$750$

$1155$

$1,185$

$660$

$4,860$

The company can hire temporary workers to meet the above requirements. Each temporary

worker can produce $15$ units per month. Hiring$/$training cost is approx. $$1,000$ per temp

worker.

Inventory holding cost per camping trailer per month is $$50,$ charged to average inventory

level during a month. Before January, there are no camping trailers on hand. $270$ extra units

are desired in inventory at the end of June. Any shortage during a period is backordered at a

cost of $$150$ per camping trailer per month.

Find the monthly and total cost of the following plan generated by the production manager.

$[5$ Marks$]$ Task $5$: Sask Trailers assembles different types of small camping trailers demanded between January and June of each year. The demand generally peaks in April and May. Next year's aggregate demand forecast beyond the regular capacity is given in the following table:

The company can hire temporary workers to meet the above requirements. Each temporary worker can produce $15$ units per month. Hiring$/$training cost is approx. $\backslash (\backslash$$ $1,000\backslash )$ per temp worker.

Inventory holding cost per camping trailer per month is $\backslash$$$50,$ charged to average inventory level during a month. Before January, there are no camping trailers on hand. $270$ extra units are desired in inventory at the end of June. Any shortage during a period is backordered at a cost of $\backslash (\backslash$$ $150\backslash )$ per camping trailer per month.

Find the monthly and total cost of the following plan generated by the production manager.

$[5$ Marks$]\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|$l$|$l$|$l$|$l$|$l$|\}$

$\backslash$hline Temp. Workers laidoff & $0$ & $0$ & $0$ & $0$ & $0$ & $13$ & $\backslash \backslash$

$\backslash$hline Temp. Total Workers & $36$ & $38$ & $50$ & $77$ & $77$ & $64$ & $\backslash \backslash$

$\backslash$hline Output & & & & & & & $\backslash \backslash$

$\backslash$hline Output & & & & & & & $\backslash \backslash$

$\backslash$hline & & & & & & & $\backslash \backslash$

$\backslash$hline Inventory & & & & & & & $\backslash \backslash$

$\backslash$hline Beginning & & & & & & & $\backslash \backslash$

$\backslash$hline Ending & & & & & & & $\backslash \backslash$

$\backslash$hline Average & & & & & & $\backslash \backslash$

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline Backorder & & & & & & $\backslash \backslash$

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline Costs & & & & & & $\backslash \backslash$

$\backslash$hline Hiring cost & & & & & & $\backslash \backslash$

$\backslash$hline $\backslash$$$1000$ per hiring & & & & & & $\backslash \backslash$

$\backslash$hline $\backslash$begin$\{$tabular$\}\{$l$\}$

Inventory and $\backslash \backslash$

Backorders

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

$\backslash$hline $\backslash$begin$\{$tabular$\}\{$l$\}$

Inventory $\backslash \backslash$

$($@$\backslash$$$50/$unit$/$month$)$

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

$\backslash$hline $\backslash$begin$\{$tabular$\}\{$l$\}$

Backordr $\backslash \backslash$

$($@$\backslash$$$150/$unit$/$month$)$

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

$\backslash$hline & & & & & & $\backslash \backslash$

$\backslash$hline Total Cost & & & & & & $\backslash \backslash$

$\backslash$hline

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