got this homework wrong. help on a, b, and c 7. (12pts) If club members charge $

Question

got this homework wrong. help on a, b, and c

7. (12pts) If club members charge $6 admission to a classic car show, 1000 people will atend, and for each $1 increase in price, 150 fewer people will attend. What price will give the maximum revenue for the show? Use calculus to answer this question (the process has been broken down into steps below) (a) Find a function that describes the revenue for the show. 4000-q0OX +1000 P1 300x 100 300x too (b) What price will give the maximum revenue for the show? Support your answer with calculus. Round your final answer to the nearest cent 3x4 2x20 (c) Find the maximum revenue. -2 ± 242

Explanation / Answer

R(x) =(6+x )(1000-150x)

a.R(x) = -150x2+100x+6000

R '(x) = -300x +100

b. R'(x) =0

   300x =100

x =1/3

Price =6+(1/3) = 19/3 = $6.33

c.R(19/3) = -150(19/3)2+100(19/3)+6000 = $616.67

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.