Keego Enterprises manufactures two products, boat wax (B) and car wax (C), in two departments, Mixing and Packaging. The Mixing Department (M) has 800 hours per month available while the Packaging Department (P) has 1,200 hours per month available. Production of the two products cannot exceed 36,000 pounds. Data on the two products follow:The objective function for the linear program Keego would use to determine the optimum monthly product mix (where B and C are expressed in 100-pound units of output) would be:
A) Z = $150B + $200C.
B) 2B + 1.5C ≥ 36,000.
C) 2B + 1.5C ≤ 36,000.
D) Z = $200B + $150C.
E) Z = 8.6B + 8.4B.

Question

Keego Enterprises manufactures two products, boat wax (B) and car wax (C), in two departments, Mixing and Packaging. The Mixing Department (M) has 800 hours per month available while the Packaging Department (P) has 1,200 hours per month available. Production of the two products cannot exceed 36,000 pounds. Data on the two products follow:The objective function for the linear program Keego would use to determine the optimum monthly product mix (where B and C are expressed in 100-pound units of output) would be:
A) Z = $150B + $200C. 
B) 2B + 1.5C ≥ 36,000. 
C) 2B + 1.5C ≤ 36,000. 
D) Z = $200B + $150C. 
E) Z = 8.6B + 8.4B.

Quizplus · Accepted Answer

The objective function should express the total revenue from the production of both products. Since boat wax generates a revenue of $200 per 100-pounds unit while car wax generates only $150 per 100-pounds unit, the objective function should be Z = $200B + $150C. Choice A is incorrect because it reverses the revenue for the two products. Choices B and C are constraints that limit the total amount of wax produced. Choice E is not relevant to the problem.

Keego Enterprises Manufactures Two Products, Boat Wax (B) and Car