Question: Product mix model Input data Hourly wage rate $8.00 Cost per oz of metal $0.50 Cost per oz of glass $0.75 Frame type Frame 1

Product mix model
Input data
Hourly wage rate $8.00
Cost per oz of metal $0.50
Cost per oz of glass $0.75
Frame type Frame 1 Frame 2 Frame 3 Frame 4
Labor hours per frame 2 1 3 2
Metal (oz.) per frame 4 2 1 2
Glass (oz.) per frame 6 2 1 2
Unit selling price $28.50 $12.50 $29.25 $21.50
Production plan
Frames produced
Maximum sales 1000 2000 500 1000
Minimum frames required 250 250 250 250
Resource constraints Resources used Resources available
Labor hours 4444
Metal (oz.) 6666
Glass (oz.) 11111
Revenue, cost summary
Frame type Frame 1 Frame 2 Frame 3 Frame 4 Totals
Revenue
Costs of inputs
Labor
Metal
Glass
Profit

The Monet Company produces four types of picture frames, which are labeled 1, 2, 3, and 4. The four types of frames differ with respect of size, shape, and materials used. Each type requires a certain amount of skilled labor, metal, and glass, as shown in the table. The table also lists the unit selling price Monet charges for each type of frame.

During the coming week, Monet can purchase up to 4444 hours of skilled labor, 6666 ounces of metal, and 11,111 ounces of glass. The unit costs are $8.00 per labor hour, $0.50 per ounce of metal, and $0.75 per ounce of glass. Also, market constraints are such that it's impossible to sell more than 1000 type 1 frames, 2000 type 2 frames, 500 type 3 frames, and 1000 type 4 frames. To provide a mix of inventory, at least 250 of each type of frame must be produced. Monet does not want to keep any frames in inventory at the end of the week. What should the company do to maximize its profit for this week?

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