OnlyForMen Garments Co. produces three designs of men's shirts- Fancy, Office, and Causal. The material required to produce a Fancy shirt is 2m, an Office shirt is 2.5m, and a Casual shirt is 1.25m. The manpower required to produce a Fancy shirt is 3 hours, an Office shirt is 2 hours, and a Casual shirt is 1 hour.
In the meeting held for planning production quantities for the next month, the production manager informed that a minimum of 3000 hours of manpower will be available, and the purchase manager informed that a maximum of 5000 m of material will be available. The marketing department reminded that a minimum of 500 nos. of Office shirts and a minimum of 900 nos of Causal shirts must be produced to meet prior commitments, and the demand for Fancy shirts will not exceed 1200 shirts and that of Casual shirts will exceed 600 shirts. The marketing manager also informed that the selling prices will remain same in the next month- Rs 1,500 for a Fancy shirt, Rs 1,200 for an Office shirt and Rs 700 for a Casual shirt.
Write a set of linear programming equations to determine the number of Fancy. Office, and Casual shirts to be produced with an aim to maximize revenue. [8]
