Deb Bishop Health and Beauty Products has developed a new shampoo, and you need to develop its aggregate schedule. The cost accounting department has supplied you the costs relevant to the aggregate plan, and the marketing department has provided a four$-$quarter forecast. All are shown as follows:

Quarter $1$: $1400$

Quarter $2$: $1200$

Quarter $3$: $1500$

Quarter $4$: $1300$

COSTS:

Previous quarter$$s output $1,500$ units Beginning inventory $0$ units Stockout cost for backorders $$50$ per unit Inventory holding cost $$10$ per unit for every unit held at the end of the quarter Hiring workers $$40$ per unit Layoff workers $$80$ per unit Unit cost $$30$ per unit Overtime $$15$ extra per unit Subcontracting Not available