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An appliance manufacturer produces two models of microwave ovens: X and Y. Both models require fabrication and assembly work; each X uses four hours of

An appliance manufacturer produces two models of microwave ovens: X and Y. Both models require fabrication and assembly work; each X uses four hours of fabrication and two hours of assembly, and each Y uses two hours of fabrication and six hours of assembly. There are 300 fabrication hours available this week and 240 hours of assembly. Each X contributes $20 to profits, and each Y contributes $30 to profits. What are the optimal weekly profits if one wishes to maximize it? Note: Since there are only two constraints, you can draw your own graph. There will be no scaling errors in this case.

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