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Please answer urgently Dwight is an elementary school teacher who also raises pi

ID: 3203635 • Letter: P

Question

Please answer urgently

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: 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 B in the calories constraint (e.g. 1,000B) e. The 70 units in the vitamins constraint. f. Constraint 3 was added since Feed Type A contains an ingredient that is toxic if consumed in too large a quantity. In managerial terms (e.g. verbally explain) what docs constraint 3 mean? Solve this LP problem using the graphical method: g. Graph the constraints and identify the feasible region. h. Determine the optimal solution(s) and the minimum cost (show your calculations). Include "managerial statements" that communicate the results of the analyses (i.e. describe verbally the results). i. Determine the amount of slack for each of the constraint.

Explanation / Answer

a) 0.80 in the objective function is the cost of type B feed per pound.

b) 0.40A in the objective function is the total cost of type A feed in daily diet.

c) 8000 calories in the calories constraint is the minimum requirment of calories per day.

d) The product of 1000 and B in the calories constraint is calories per pounds of feed type B.

e) 70 units in the vitamins constraint is vitamins per pounds of feed type B.