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Answer :
Final answer:
The Linear Program max300W+150A, subject to W+A≤48, W≤6, best represents the Whitt Window Company's problem of determining the optimal number of wood-framed and aluminum-framed windows to produce daily to maximize profit.
Explanation:
The correct Linear Program for the problem regarding the Whitt Window Company, given the constraints provided, is the second option. This option is max300W+150A, subject to W+A≤48, W≤6. The decision variables are the number of wood-framed windows (W) and the number of aluminum-framed windows (A). The Linear Program aims to maximize the total profit, which is $300 per wood-framed window and $150 per aluminum-framed window. Constraint W+A≤48 ensures that the total number of windows does not exceed the total amount of glass that can be made per day by Bob, as each window requires 6 or 8 square feet of glass respectively. Constraint W≤6 corresponds to the maximum number of wood frames that Doug can make per day.
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