Algebraic model

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On a monthly basis, the manufacturer has no more than 864 hours of labor available in the cutting department, at most 672 hours in the assembly division, and at most 575 hours in the packaging department. The profits amounts to $25 per tent for model A and $40 per tent for model B. How many of each should be manufactured monthly to maximize the profit? Set up the algebraic model. Include the three components: (decision variables, objective function and constraints)