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Smooth Enterprises manufactures two products, boat wax and car wax, in two departments, Mixing and Packaging. The Mixing Department has 600 hours per month available

Smooth Enterprises manufactures two products, boat wax and car wax, in two departments, Mixing and Packaging. The Mixing Department has 600 hours per month available while the Packaging Department has 1,000 hours per month available. Production of the two products cannot exceed 31,000 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) $ 230 7.0 2.7
Car wax (C) $150 3.1 6.0

The Mixing Department (M) constraint for the Smooth linear program would be (where B and C are expressed in 100-pound units of output):

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3.1M + 6P 31,000.

7B + 3.1C 600.

7B + 3.1C 600.

7B + 3.1C = 600.

10.1M + 8.7P 31,000.

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