C 2 pts the comedy club must pay the comedian 6 for

Info icon This preview shows pages 5–9. Sign up to view the full content.

View Full Document Right Arrow Icon
(c) (2 pts) The comedy club must pay the comedian $6 for every ticket sold. Find a formula for C ( p ), the cost per show when the ticket price is p dollars. (d) (2 pts) Find a formula for π ( p ), the profit per show when the ticket price is p dollars. (e) (3 pts) What ticket price maximizes the comedy club’s profits?
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
8. At a price of p dollars per cellphone case, the supply per week of hand-made cellphone cases is q = 2 p - 10 and the demand per week is q = - 3 p + 90. (a) (4 pts) Find the equilibrium price and equilibrium quantity. (b) (4 pts) A tax of $2 . 50 per cellphone case is imposed on suppliers. What is the new equilibrium price and equilibrium quantity? (c) (2 pts) How much revenue does the government generate from this tax each week?
Image of page 6
9. Compute the limits or explain why they do not exist. (a) (4 pts) lim x 9 2 x - 6 x - 9 (b) (3 pts) lim x 4 1 x - 4 - 1 4 (c) (4 pts) lim x →- 2 x 2 - x - 6 x 2 - 4 (d) (3 pts) lim x →∞ 3 x 3 - 1 x 3 - 10 x 2
Image of page 7

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
10. (a) (4 pts) Let g ( x ) = ln ( 3+ x 5 - x ) . Find a formula for g - 1 ( x ). (b) (3 pts) Does there exist a value for x such that x 4 + 6 x + 1 = 0? Justify your answer (if you answer “Yes,” you do not need to find the value of x ).
Image of page 8
Scrap paper
Image of page 9
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern