The profit a company makes from producing x tabletops is modeled by the equation p(x) = 480x – 2x2. for what number of tabletops does the company make a profit of $0?
100 tabletops
120 tabletops
240 tabletops
480 tabletops

240 tabletops

Step-by-step explanation:

Given : The profit a company makes from producing x tabletops is modeled by the equation

To Find: For what number of tabletops does the company make a profit of $0?

Solution:

Profit Function:

Where P(x) is the profit.

x is the number of tabletops

Now we are supposed to find number of tabletops does the company make a profit of $0?

Substitute the value P(x)=0

Hence the company makes a profit of $0 by selling 240 tabletops .

Thus Option C is correct.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval