The Mexican subsidiary of ThermoMaster manufactures an indoor-outdoor thermometer.
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Question

1).  The Mexican subsidiary of ThermoMaster manufactures an indoor-outdoor thermometer. Management estimates that

the profit (in dollars) realizable by the company for the manufacture and sale of x units of thermometers each week is represented by the function below, where x ≥ 0. Find the interval where the profit function P is increasing and the interval where P is decreasing.


P(x) = −0.005x2 + 8x − 5,000


2). The height (in feet) attained by a rocket t sec into flight is given by the function

h(t) = − 1/3t^3 + 14t2 + 29t + 16      (t ≥ 0).

a). When is the rocket rising?

b). When is it descending?

Top Answer

The function is increasing when f '(x)>0... View the full answer

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