Deb Bishop Health and Beauty Products have developed a new shampoo, and you need to develop its aggregate schedule. The cost accounting department has supplied you with the costs relevant to the aggregate plan, and the marketing department has provided a four$-$quarter forecast. All are shown as follows:QUARTERFORECAST$1,4001,200341,5001,300$Not availableCOSTSPrevious quarter's output$1,500$ unitsBeginning inventory$0$ unitsStockout cost for backorders$$50$ per unitInventory holding cost$$10$ per unit for every unit held at the end of the quarterHiring workers$$40$ per unitLayoff workers$$80$ per unitUnit cost$$30$ per unitOvertime$$15$ extra per unitSubcontractingYour job is to develop an aggregate plan for the next four quarters.a$)$ First, try hiring and layoffs $($to meet the forecast$)$ as necessary.b$)$ Then try a plan that holds employment steady.c$)$ Which is the more economical plan for Deb Bishop Health and Beauty Products?