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*) = −0.005*x*^{2} + 8*x* − 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 + 14*t*^{2} + 29*t* + 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