Maximum and Minimum Problems

Practice Questions

Pre-Calculus › Maximum and Minimum Problems

Questions

7

1

The profit of a certain cellphone manufacturer can be represented by the function

$\small \small p(x)=-2000x^3+12000x^2+126000x$

where $\small p$ is the profit in dollars and $\small x$ is the production level in thousands of units. How many units should be produced to maximize profit?

2

What is the critical point of . Is it a max or a minimum?

3

Find the coordinates of the relative maximum point of the function

$y=\frac{3}{4}x^4+3x^3-15x^2+8$ .

4

Find the -coordinates of the possible locations of the relative maxima and minimia of

$f(x)=\frac{1}{2}x^4-x^2+3$ .

5

Without solving the problem, determine whether the function will have relative maxima or minima and how many of each.

6

What is the critical point of ? Is it a max or minimum?

7

Determine whether if there is a maximum or minimum, and location of the point for:

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