The profit a coat manufacturer makes each day is modeled by the equation P(x)= -x+120x-2000, where P is the profit and x is the price for each coat sold. For what values of x does the company make a profit?

charge at-least x = $16.81/coat to expect a profit

Step-by-step explanation:

Given:-

- The Profit (P) is modeled as a function of price of each coat sold (x):

                                  P(x) = -x + 120x - 2000

Find:-

For what values of x does the company make a profit?

Solution:-

- For the company to make a profit it must be greater than zero.

                                 P(x) > 0

- We will use the inequality and evaluate for what values of (x) does the company makes a profit:

                                 -x + 120x - 2000 > 0

                                 119x > 2000

                                 x > 2000/119

                                 x > $16.81 / coat

- The coat manuface each coat for manufacturer must charge at-least x = $16.81/coat to expect a profit.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: