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A plant manager is attempting to determine the production schedule of various products to maximize profit. Assume that a machine hour constraint is binding. If the original amount of machine hours available is 200 minutes, and the range of feasibility is from 130 minutes to 300 minutes, providing two additional machine hours will result in:Group of answer choicesthe same product mix, same total profit.a different product mix, different total profit.the same product mix, different total profit.a different product mix, same total profit as before.

Question

A plant manager is attempting to determine the production schedule of various products to maximize profit. Assume that a machine hour constraint is binding. If the original amount of machine hours available is 200 minutes, and the range of feasibility is from 130 minutes to 300 minutes, providing two additional machine hours will result in:Group of answer choicesthe same product mix, same total profit.a different product mix, different total profit.the same product mix, different total profit.a different product mix, same total profit as before.

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Solution

The answer is "the same product mix, different total profit."

Here's why:

The range of feasibility for the machine hours is from 130 minutes to 300 minutes. This means that as long as the machine hours are within this range, the product mix (the combination of products produced) will not change.

The original amount of machine hours available is 200 minutes. If we add two more machine hours, the total becomes 202 minutes, which is still within the range of feasibility (130 to 300 minutes).

Therefore, the product mix will remain the same. However, because we have more machine hours available, we can produce more units of the product, which will increase the total profit. Hence, the total profit will be different.

This problem has been solved

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