Problem $8-15($Algo$)$

Helter Industries, a company that produces a line of women's bathing suits, hires temporaries to help produce its summer product demand. For the current four$-$month rolling schedule, there are three temps on staff and $12$ full$-$time employees. The temps can be hired when needed and can be used as needed, whereas the full$-$time employees must be paid whether they are needed or not. Each full$-$time employee can produce $203$ suits, while each part$-$time employee can produce $163$ suits per month.

Demand for bathing suits for the next four months is

$\backslash$table$[[$MAY$,$JUNE,JULY,AUGUST$],[3,280,2,880,3,180,3,080]]$

Beginning inventory in May is $408($a complete two$-$piece includes both top and bottom$)$ bathing suits. Bathing suits cost $$30$ to produce and carrying cost is $24$ percent per year.

Develop an aggregate plan that uses the $12$ full$-$time employees each month and a minimum number of temporary employees. Assume that all employees will produce at their full potential each month. Calculate the inventory carrying cost associated with your plan using planned end$-$of$-$month levels.

Note: Round "Inventory cost" and "Total inventory cost" to $2$ decimal places and "Temp workforce" answers to the nearest whole number.

$\backslash$table$[[,$May,June,July,August$],[$Forecast$,3,280,2,880,3,180,3,080],[$Beginning inventory,,,,$],[$Production required,,,,$],[$Regular workforce,,,,$],[$Regular production,,,,$],[$Temp workforce,,,,$],[$Temp production,,,,$],[$Total production,,,,$],[$Ending inventory,,,,$],[$Inventory cost$,,,,],[$Total Inventory cost,,,,$]]$