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Q10 Smooth Enterprises manufactures two products, boat wax (B) and car wax (C), in two departments, Mixing and Packaging. The Mixing Department (M) has 800

Q10

Smooth 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 1,400 hours per month available. Production of the two products cannot exceed 30,000 pounds. Data on the two products follow:

Product Contribution Margin (per 100 pounds) Hours per 100 pounds of Output: Mixing (M) Hours per 100 Pounds of Output: Packaging (P)
Boat wax (B) $ 240 2.0 2.5
Car wax (C) $ 220 1.6 4.0

The objective function for the linear program Smooth would use to determine the optimum monthly product mix (where B and C are expressed in 100-pound units of output) would be:

Multiple Choice

  • 2.4B + 2.2C 30000

  • Z = $240B + $220C.

  • Z = 4.5B + 5.6B.

  • Z = $220B + $240C.

  • 2.4B + 2.2C 30000

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