A firm is planning to manufacture and sell two products. Each product 1 costs $2,000 toproduce and yields $2,000 of profit. Each product 2 costs $1,000 to produce and yields $3,000 of profit. The facilities are such that a total of at most 20 of the two products and at most 15 of product 2 can be manufactured in any day, and at most $30,000 can be allocated for the costs in any one day. With these conditions the firm can sell all of the items manufactured. A:Identify the variables and write out the inequality constraints. B:Write out the objective function. C:Sketch the feasible region. Find the number of each product to manufacture in order to maximize the profit.