LINEAR PROGRAMMING Sadella Sdn. Bhd. is a factory which manufactures working suits, abayas and kurungs for Lazara Stores. Lazara will accept all the production supplied by Sadella. The production process includes cutting, sewing and packaging. The maximum available time for each cloth to go through each stage of production (cutting, sewing and packaging) are 280 minutes, 240 minutes, and 350 minutes, respectively. Table 1 gives the time requirements (in minutes) and profit per unit for the three products:a) Formulate and solve this problem as an LP model in order to maximize the company's profit.b) Determine the production quantities for each product and the maximum profit.c) Is there any alternative solution to the above problem? If so, find two alternative solutions.

Table 1 Minutes per unit Unit Profit Products Cutting Sewing Packaging (RM) Suits 20 30 10 60 Abayas 30 10 20 20 Kurungs 10 20 30 40