Answered

Find solutions to your problems with the help of IDNLearn.com's expert community. Ask your questions and receive comprehensive and trustworthy answers from our experienced community of professionals.

An online retail company determined that their cost for each day, x, can be determined by the function c(x)=2x^2-20x+70 and their venue by the function R(x)=-x^2+5x+22. how many days willit take for the compant to earn profit?
i. 20
ii. 28
iii. 3
iv. 5

Sagot :

Using the profit concept, it is found that the number of days that will take for the company to earn a profit is given by:

  • iii. 3

Profit:

  • Profit is given by revenue subtracted by costs.

In this problem:

  • The cost function is: [tex]c(x) = 2x^2 - 20x + 70[/tex].
  • The revenue function is: [tex]R(x) = -x^2 + 5x + 22[/tex].

Hence, the profit function is:

[tex]p(x) = R(x) - c(x)[/tex]

[tex]p(x) = -x^2 + 5x + 22 - (2x^2 - 20x + 70)[/tex]

[tex]p(x) = -3x^2 + 25x - 48[/tex]

Using a graphing calculator, it is found that the profit is positive after 3 days, hence, option iii is correct.

You can learn more about the profit concept at https://brainly.com/question/4001746

View image Joaobezerra
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.