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Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

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Chapter
Section
BuyFindarrow_forward

Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Website Traffic The daily traffic (“hits per day”) at OHaganBooks.com apparently depends on the monthly expenditure on Internet advertising. The following model is based on information collected over the past few months:

h = 0.000005 c 2 + 0.085 c + 1 , 750

Here, h is the average number of bits per day at OHaganBooks.com, and c is the monthly advertising expenditure.

a. According to the model, what monthly advertising expenditure will result in the largest volume of traffic at OHaganBooks.com? What is that volume?

b. In addition to predicting a maximum volume of traffic, the model predicts that the traffic will eventually drop to zero if the advertising expenditure is increased too far. What expenditure (to the nearest dollar) results in no website traffic?

c. What feature of the formula for this quadratic model indicates that it will predict an eventual decline in traffic as advertising expenditure increases?

(a)

To determine

To Calculate: The expenditure volume of traffic if the equation is given as,

h=0.000005c2+0.085c+1750

Explanation

Given information:

The equation between advertising expenditure and average number of hits per day is given as:

h=0.000005c2+0.085c+1750.

Calculation:

Consider the equation:

h=0.000005c2+0.085c+1750

……(1)

It is a quadratic equation so the value of (a=0.000005,b=0.085,c=1750).

Here the value of a is negative so the largest volume will be occurred at the vertex and the coordinate is c, Therefore, the value of c is b2a

Now,

c=0

(b)

To determine

To calculate: The value of the advertising expenditure in dollar when number of hits per day is zero.

(c)

To determine

The quadratic formula h=0.000005c2+0.085c+1750, Which decreased the value of traffic as expenditure increased.

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