A linear programming computer package is needed. EZ-Windows, Inc, manufactures replacement windows for the home remodeling business. in lanuary, the company produced 15,000 windows and ended the morth with 9,000 windows in imentory. E2-Windows' management team would ake to develop a current workforce and provides a simitar month-to-thonth operstion. However, given the sales forecasts, the production capecilies, and the storage capabulies as shown, the management team does not thint a smooth production schedule with the same production quantity eech month postible, The comasny's cost accounting department estimates that increasing profuction ty one window trom one month to the next will increase total coste by $1.00 for each unit increase in the production ievel. in addition, decreasing production by one unit from one month to the next wit increase total cests tyy 40.65 far each unt decretse in the peoduction level. Ignaning production and itwentery carrying costs, formulate a lnew programming mosel that will minimize the cost (in deilars) of changirig production levels while still satisfying the monithly sales forecasts. thet F = number of windows manufactured in February. M is number of windows manufactured in March, A - number of windows manufactured in Aoni, I1= increase in production level necessary during month I1t2= increase in production level necessary daring month 2,t3= increase in production level necessary during month 3, D1 - decrease in production level necessary during moeth 1,D2 - decrease in production level necessary during menth 2. 03= decrease in production level necessary during month 3,s1= ending inventary in tienth 14s2= endiry inventory in month 2 , and s3= ending ifvertary in month 3.) Min Februsty Dertand March Dettuand Aaril Demand Change in Fetoruary Production Change in March Productian Change in Aaril Production February Production Copacty March Production Capacity April Production Capacty February Storage Capacty march Storage Capacty Aprit Storage Capacity Find the optimal solution. {F,M,A,I1,I2,J2,D1,D2,D3,F1,s2,s7}( Cost=4