Answered

IDNLearn.com: Your trusted platform for finding reliable answers. Join our community to access reliable and comprehensive responses to your questions from experienced 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
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.