Beatrice Arthur is asked to minimize the cost of a Summer Vacation Cross-Country

Question

Beatrice Arthur is asked to minimize the cost of a Summer Vacation Cross-Country Road Trip by car, given that the cost of gasoline grows as a certain function of speed. Her calculations show that there is only one critical point of the cost function, and that it is indeed a minimum. From this information, can Beatrice deduce that the cost can be infinitely high? Yes, because her cost function looks like a parabola, the cost can be infinitely high No. For any real world scenario, both the cost of the gasoline and the speed of the vehicle must vary within some finite range No. The cost must have both a maximum and a minimum. She should recheck her calculus and calculations None of these choices (write a brief statement explaining why in the space below) d)

Explanation / Answer

option A

Since there is only one critical point hence function must be quadratic

Thus, the function can be parabolic (quadratic function)

and function can achieve infinity

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