Pre-Calculus, 9th edition

 PAGE: 152 SET: Exercises PROBLEM: 3

The price equation is .

(a).

The revenue is .

Substitute in .

The revenue function  .

(b)

The domain of the function .

Where represents the quantity.

and

and .

The domain of the function is .

(c).

Find the revenue when units are sold.

Substitute in the function .

The revenue is \$.

(d).

The revenue function is in quadratic form.The revenue is maximum, when the price is

.

Where and .

units.

The Maximum revenue is substitute in the fucntion .

The maximum revenue is \$.

(e).

Find the price to get the company maximum revenue.

The fucntion is .

Maximum revenue is \$ and the no.of units are .

Hence the price of the company to charge the maximum revenue is .

The price is \$ .

(a).

(b). The domain of the function is .

(c).\$.

(d).  units and The maximum revenue is \$.

(e).The price is \$ .

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