The president of hill enterprises, terri hill, projects the firm's aggregate demand requirements over the next 8 months as follows: january 1 comma 400 may 2 comma 200 february 1 comma 600 june 2 comma 200 march 1 comma 800 july 1 comma 800 april 1 comma 800 august 1 comma 800 her operations manager is considering a new plan, which begins in january with 200 units of inventory on hand. stockout cost of lost sales is $100 per unit. inventory holding cost is $20 per unit per month. ignore any idle-time costs. the plan is called plan a. plan a: vary the workforce level to execute a strategy that produces the quantity demanded in the prior month. the december demand and rate of production are both 1 comma 600 units per month. the cost of hiring additional workers is $50 per unit. the cost of laying off workers is $75 per unit. evaluate this plan. (enter all responses as whole numbers.) note: both hiring and layoff costs are incurred in the month of the change. for example, going from 1 comma 600 in january to 1 comma 400 in february incurs a cost of layoff for 200 units in february.