Question
A textile company is making two different products, Product X and Product Y. To produce one unit of Product X, the company needs to spend
A textile company is making two different products, Product X and Product Y. To produce one unit of Product X, the company needs to spend 3 hours on labor, use 2 pounds of material, and 1 hour of machine time. To make one unit of Product Y, the company needs to spend 4 hours on labor, use 3 pounds of material, and 2 hours of machine time. The company has more than 10,000 hours of labor available each day, more than 8,000 pounds of materials, and more than 4,000 hours of machine time. The cost of producing one unit of X is $10, and the cost of producing one unit of Y is $15. The company wants to find the best way to allocate its resources to minimize its total production costs and determine how many units of each product to produce.
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