Acme produces Product A and Product B in fractions of tons. It requires 10 hours per...

    

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Acme produces Product A and Product B in fractions of tons. It requires 10 hours per ton to produce Product A. It requires 3 hours per ton to produce Product B. 30 hours are available to produce a combination of Product A and Product B. No more than 5 tons of Product A and Product B combined should be produced. (Of course, the amounts of Product A and Product B must be non-negative.) Describe this business situation as a linear optimization model. Graph the feasible region. How many corner points are there in the feasible region? How many feasible decision points are there? How many constraints are there, including non-negativity constraints? If profit is $10 per ton of Product A + $3 per ton of Product B, then what is the maximum profit? Acme produces Product A and Product B in fractions of tons. It requires 10 hours per ton to produce Product A. It requires 3 hours per ton to produce Product B. 30 hours are available to produce a combination of Product A and Product B. No more than 5 tons of Product A and Product B combined should be produced. (Of course, the amounts of Product A and Product B must be non-negative.) Describe this business situation as a linear optimization model. Graph the feasible region. How many corner points are there in the feasible region? How many feasible decision points are there? How many constraints are there, including non-negativity constraints? If profit is $10 per ton of Product A + $3 per ton of Product B, then what is the maximum profit?

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