The profit function for two products is Profit=-4X2+36X-2Y2+42Y+750 Where X represents units of production of product...

 

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The profit function for two products is Profit=-4X2+36X-2Y2+42Y+750 Where X represents units of production of product X and Y represents units of production of product Y. Producing one unit of product X requires 6 labor-hours and producing one unit of product Y requires 8 labor-hours. Currently, 40 labor-hours are available. The cost of labor-hours is already factored into the profit function. a) (5 points) Formulate a mathematical model that can be used to determine the optimal production quantity of products X and Y. The quantity produced should be integers. b) (5 points) Solve the optimization model you formulated in part (a). How much should be produced and what is the optimal profit? X- Y Optimal profit S c) (5 points) Use the snipping tool to snip the Excel set up and the solver set up, then copy and paste them here. The profit function for two products is Profit=-4X2+36X-2Y2+42Y+750 Where X represents units of production of product X and Y represents units of production of product Y. Producing one unit of product X requires 6 labor-hours and producing one unit of product Y requires 8 labor-hours. Currently, 40 labor-hours are available. The cost of labor-hours is already factored into the profit function. a) (5 points) Formulate a mathematical model that can be used to determine the optimal production quantity of products X and Y. The quantity produced should be integers. b) (5 points) Solve the optimization model you formulated in part (a). How much should be produced and what is the optimal profit? X- Y Optimal profit S c) (5 points) Use the snipping tool to snip the Excel set up and the solver set up, then copy and paste them here.

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a The mathematical model for maximizing the profit subject to the labor hour c... View the full answer