Question

(Laker Steel) Laker Steel considers a product mix problem with three products and three constraints. Let X1 = units of product 1, X2 = units of product 2, and X3 = units of product 3. The constraints below must be satisfied. (1) At most 60 labor hours are available. (2) At most 120 pounds of materials are available. (3) At least 10 units of product 2 must be produced. An LP was formulated as follows: max 30 X1 + 10 X2 + 20 X3 (Total profit in $) s.t. 2 X1 + 2 X2 + X3 nar005-1.jpg 60 (1) Labor hours 3 X1 + 3 X2 + 2 X3 nar005-2.jpg 120 (2) Pounds of materials X2 nar005-3.jpg 10 (3) Units of product 2 X1, X2, X3 nar005-4.jpg 0 The optimal solution is ( X1* = 0, X2* = 10, X3* = 40). (Hint: The optimal solution is given. You do not need to solve this LP with Excel.) (Laker Steel) Interpret the left-hand-side, right-hand-side, and slack or surplus of constraint (3). (a) The produced units of product 2 are ___. [Answer format: integer] (b) The minimum units of product 2 are ___. [Answer format: integer] (c) The over-produced units of product 2 are ___. [Answer format: integer] Write your answer(s) as 12, 12, 1

Answer 1

Answer:-

Following is the sensitivity report

The produced units of product 2 are 30

The minimum units of product 2 is 10

The over-produced units of product 2 are 0

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