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# 2. Dwight is an elementary school teacher who also raises sheeps for supplemental income. He is trying to decide what to feed his sheeps. He is considering using a combination of sheep feeds available from local suppliers. He would like to feed the sheeps at minimum cost while also making sure each sheep 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 Feed Type B Calorie (per pound) 800 1,000 Vitamins (per pound) 140 units 70 units Cost (per pound) $0.40 $0.80 Each sheep 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 that is toxic if consumed in too large a quantity. a. Identify the decision variables. b. Formulate a LP model for this problem. c. Use the graphical method to solve this model. What is the resulting daily cost per sheep