A linear programming computer package is needed.

EZ-Windows, Inc., manufactures replacement windows for the home remodeling business. In January, the company produced 15,000 windows and ended the month with 9,000 windows in inventory. EZ-Windows’ management team would like to develop a production schedule for the next three months. A smooth production schedule is obviously desirable because it maintains the current workforce and provides a similar month-to-month operation. However, given the sales forecasts, the production capacities, and the storage capabilities as shown, the management team does not think a smooth production schedule with the same production quantity each month possible.

	February	March	April
Sales forecast	15,000	16,500	20,000
Production capacity	14,000	14,000	18,000
Storage capacity	6,000	6,000	6,000

The company’s cost accounting department estimates that increasing production by one window from one month to the next will increase total costs by $1.00 for each unit increase in the production level. In addition, decreasing production by one unit from one month to the next will increase total costs by $0.65 for each unit decrease in the production level. Ignoring production and inventory carrying costs, formulate a linear programming model that will minimize the cost of changing production levels while still satisfying the monthly sales forecasts. (Let F = number of windows manufactured in February, M = number of windows manufactured in March, A = number of windows manufactured in April, I₁ = increase in production level necessary during month 1, I₂ = increase in production level necessary during month 2, I₃ = increase in production level necessary during month 3, D₁ = decrease in production level necessary during month 1, D₂ = decrease in production level necessary during month 2, D₃ = decrease in production level necessary during month 3, s₁ = ending inventory in month 1, s₂ = ending inventory in month 2, and s₃ = ending inventory in month 3.)

Min = ______

s.t.

February Demand =________

March Demand =_________

April Demand =_________

Change in February Production =_________

Change in March Production =__________

Change in April Production =__________

February Production Capacity = _________

March Production Capacity = __________

April Production Capacity = _________

February Storage Capacity = _________

March Storage Capacity = _________

April Storage Capacity = _________

Find the optimal solution.

(F, M, A, I₁, I₂, I₃, D₁, D₂, D₃, s₁, s₂, s₃) = (____________)

Cost = $___________

Case 3 de S At the end of your Annual Conference for the year 2000, when you asked the Area Managers if they have any problems, Mr. Ahmad Nawaz told you that the Senior Finance Executive of his area, Mr. Ali Raza, who had also won the best performance award of the year 1999, was not taking interest in his work. Despite Ahmad Nawaz’s counseling, no change was noticed in the individual, rather his attitude deteriorated. You had also received such information from the National Manager, but considering that Ahmad Nawaz being an experienced hand would solve the problem, you did not interfere intentionally. Now that Ahmad Nawaz himself brought this to your notice, you decided to call the individual and counsel him. During the interview, Mr. Ali Raza initially did not tell you anything but considering his 14 years old association with you, he revealed that he got married five years ago (the marriage was also attended by you) and was still without a child. You were further informed that his parents were forcing him to divorce his wife, whom he loved so much. Moreover, he was also not being understood by the senior managers and was disallowed any kind of leave. Therefore, you concluded that an excellent worker had been disgruntled and had lost interest in his job. 1. As a General Manager, what measures you would take to help / satisfy Mr. Ali Raza and influence change in his behavior?