Saturday

August 23, 2014

August 23, 2014

Posted by **Wiz** on Thursday, April 4, 2013 at 12:30pm.

R(x) = 30x^3 - 120x^2 + 500 for 0 _< x _< 100,

a. Sketch the graphs of the functions R(x) and R'(x) .

b. Find the number of units sold at which the marginal revenue begins to increase

- Calculus -
**Steve**, Thursday, April 4, 2013 at 1:29pmmarginal revenue begins to increase when f'' changes sign.

R'(x) = 90x^2 - 240x

R"(x) = 180x-240 = 60(3x-4)

So, marginal revenue begins to increase when x = 4/3

- Calculus -
**Wiz**, Sunday, April 7, 2013 at 4:54pmr(x) = 30x^3 - 120x^2 + 500

r ‘ (x) = 90x^2 - 240x

0 = 90x^2 - 240x

0 = 3x^2 - 8x

0 = x(3x – 8)

X = 0 or x = 8/3

Or approx.

X = 3

Answer: x = 3

**Related Questions**

Calculus - If the derivative can be thought of as a marginal revenue function ...

Calculus - If the derivative can be thought of as a marginal revenue function ...

Calculus - If the derivative can be thought of as a marginal revenue function ...

Calculus - If the derivative can be thought of as a marginal revenue function ...

Calc Help - A manufacturer's revuenve in dollars is given by R(x)=1500x-0.02x^2 ...

Business Calculus - A company has operating costs of $2000 per thousand items ...

Calculus - The marginal revenue for x items in dollars is given by R′(x...

Calculus - The unit selling price p (in dollars) and the quantity demanded x (in...

Calculus - The unit selling price p (in dollars) and the quantity demanded x (in...

Calculus - The unit selling price p (in dollars) and the quantity demanded x (in...