Task $3$: 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 Jan Feb Mar Apr May Jun

Forecasted Demand above regular capacity $49557073510501,170660\backslash$table$[[$Month$,1,2,3,4,5,6,$Total$],[\backslash$table$[[$Forecasted Demand above$],[$regular capacity$]],495,570,735,1050,1,170,660,4,680],[\backslash$table$[[$Number of temporarty workers$],[$required$]],33,38,49,70,78,44,],[$Temp$.$ Workers hired,$33,5,11,21,8,0,],[$Temp$.$ Workers laidoff,$0,0,0,0,0,16,],[$Temp$.$ Total Workers,$33,38,49,70,78,62,],[$Output$],[$Output$,495,570,735,1,050,1,170,930,4,950]]$

Plan B $-$ Adjusted Chase:

$\backslash$table$[[$Month$,1,2,3,4,5,6,$Total$],[\backslash$table$[[$Forecasted Demand above$],[$regular capacity$]],495,570,735,1050,1,170,660,4,680],[\backslash$table$[[$Number of temporarty workers$],[$required$]],33,38,49,70,78,44,],[$Temp$.$ Workers hired,$33,5,11,25,0,0,],[$Temp$.$ Workers laidoff,$0,0,0,0,0,12,],[$Temp$.$ Total Workers,$33,38,49,74,74,62,],[$Output$],[$Output$,495,570,735,1,110,1,110,930,4,950]]$requirements$.$ Each temporary worker can produce $15$ units per month. Hiring$/$training cost is approx. $\backslash (\backslash$$ $1,000\backslash )$ per temp worker. Inventory holding cost per camping trailer per month is $\backslash (\backslash$$ $50\backslash ),$ charged to average inventory level during a month. Before January, there are no camping trailers on hand. $330$ 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. $[10$ Marks$]$ a$)$ Develop a level aggregate plan and calculate the total cost. b$)$ Develop a chase aggregate plan and calculate the total cost. $[$Ending inventory of $330$ units in June is also desired with