A furniture manufacturer produces chairs and tables. The wood-working department is capable of producing 200 chairs or 100 tables or any proportionate combinations of these per week. The weekly demand for chairs and tables is limited to 150 and 80 units respectively. The profit from a chair is Rs.100 and that from a table is Rs. 300.
(a) Set up the problem as a linear program
(b) Determine the optimum product mix for maximizing the profit.
(c) What is the maximum profit?
(d) If the profit of each table drops to Rs. 200 per unit, what is the optimal mix and profit?