school Dwight is an elementary school teacher who also raises pigs for supplemen
ID: 3034595 • Letter: S
Question
school 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. Dwight has formulated the following Linear Programming LP model: Let A pounds of Feed Type A in diet B pounds of Feed Type Bin diet Minimize Z $0.40A S0.80,B (Cost subject to 800A 1,000B 8,000 (requirement of calories per day) 140.4 70B2700 (requirement of units of vitamins) As (1/3)(A+B (constraint 3) and A 20 B20. Briefly explain or define each of these parts of the model a. The 0.80 in the objective function. b. The product of the 0.40 and A in the objective function (e.g. 0.40A) c. The 8,000 calories in the calories constraint. d. The product of 1,000 and Bin the calories constraint (e.g. 1,000B) e. The 70 units in the vitamins constraint. Constraint 3 was added since Type A contains an ingredient that is toxic if consumed in too large a quantity. In managerial terms (e.g. verbally explain) what does constraint 3 mean?Explanation / Answer
a) 0.08 in the objective function is the cost of one pound of type B feed.
b) 0.04 A is the total cost of type A feed in diet. $ 0.04 is the cost of one pound of type A feed.
c) 8000 calories is the minimum calories required in the diet per day.
d) 1000B is the total calories in the type B feed.
e) 70 means the vitamin amount present in one pound of type B feed.
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