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The HIJ manufacturing firm produces two products. Each product must undergo an assembly process and a finishing process. It is then transferred to the warehouse,

The HIJ manufacturing firm produces two products. Each product must undergo an assembly process and a finishing process. It is then transferred to the warehouse, which has space for only a limited number of items. The firm has 112 hours available for assembly and 80 hours for finishing, and it can store a maximum of 10 units in the warehouse. Each unit of product 1 has a profit of $30 and requires 4 hours to assemble and 14 hours to finish. Each unit of product 2 has a profit of $70 and requires 10 hours to assemble and 8 hours to finish. The firm wants to determine the quantity of each product to produce to maximize profit. [Note: X1 = number of Product 1. X2 = number of Product 2.]

One of the constraints for the model is 14X1 + 8X2 112.

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