Please show solutions of how you came up with the diet pounds needed for Feed A and Feed B.

2. Dwight is an elementary school teacher who also raises pigs for supplemental income. He is trying to decide what to feed his pigs. He is considering using a combination of pig feeds available from local suppliers. He would like to feed the pigs at minimum cost while also making sure each pig receives an adequate supply of calories and vitamins. The cost, calorie content, and vitamin content of each feed are given in the table below. Contents Feed Type A Calories (per pound) 800 Vitamins (per pound) 140 units Cost (per pound) $0.40 Feed Type B 1.000 70 units $0.80 Each pig requires at least 8,000 calories per day and at least 700 units of vitamins. A further constraint is that no more than one-third of the diet (by weight) can consist of Feed Type A. since it contains an ingredient which is toxic if consumed in too large a quantity (a) Formulate a linear programming model for this problem (b) Solve the problem to find the the resulting optimal daily cost per pig