"Midlife Shoes Inc. is a manufacturer of sensible shoes for aging baby-boomers. The company is having great success, and although demand is seasonal, it is expected to increase steadily over the next few years. The company is purchasing a new facility to accomodate the increase in demand, but the facility will not open until 13 months from now. The current facility can only accomodate 15 workers. Hiring and firing costs are negligible. Using the information below, help Midlife manage this transition year by deriving a production plan that will meet demand at the lowest cost.
Month Demand
Jan 1000
Feb 1200
March 1200
April 3000
May 3000
June 3000
July 2200
Aug 2200
Sept 4000
Oct 4000
Nov 2200
Dec 3000