Southeast Soda Pop, Inc., has a new fruit drink for which it has high hopes. John Mittenthal, the production planner, has assembled the following cost data and demand forecast:

Quarter

Forecast Demand

$1$

$1,800$ cases

$2$

$1,100$ cases

$1,600$ cases

$4$

$900$ cases

act

Costs $($per case$)$

$=$ $$30$

$=$ $$15$ extra per unit $=$ not available

$=$ $$10$ per unit for every unit held at the end of the quarter

$=$ $$50$ per unit $=$ $$40$ per unit $=$ $$80$ per unit

Initial inventory

Production last period $=1300$