A baseball team plays in a stadium that holds 58,000 market survey indicates tha

Question

A baseball team plays in a stadium that holds 58,000 market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000. With the ticket price at $10, the average at recent games has been 30,000. A (a) Find a fu that models the revenue in terms of ticket price. (Let x represent the price of a ticket and R represent the revenue.) R(x)- (b) Find the price that maximizes revenue from ticket salers. 80 (c) What ticket price is so high that no revenue is generated? Need Help?

Explanation / Answer

R(x) =(10-x)(30000+3000x)

Where x is the increased in price

Therefore

R(x)=300000-3000x2

b. Maximum revenue is at the vertex which is x=-b/2(a)

=0/2(-3000)=0

So the price is 10+0=10

c.300000-3000x2=0

300000=3000x2

x2 =100

x=10

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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