A concert promoter charges $65 per ticket for a concert. The promoters cost will be $5500 plus $4 per ticket.

If r=revenue and n = number of tickets sold, then r (n) shoes how revenue (amount of money received from tickets sales) depends on the number of tickets sold.

r (n) = 65n

If c = cost and n=number of tickets sold, then c (n) shows how cost (expenses of the concert promoter) depends on the number of tickets sold.

c (n) = 4n+5500

Part 1: write an equation fir the profict function p (n). Show your work.

hint: profit = revenue - cost

Part 2: fine the profit for the concert promoter if he sells 850 tickets. Show your work and explain what your answer means in terms of the problem.

Question

Mathematics

Johanna

3 December, 21:39

A concert promoter charges $65 per ticket for a concert. The promoters cost will be $5500 plus $4 per ticket.

If r=revenue and n = number of tickets sold, then r (n) shoes how revenue (amount of money received from tickets sales) depends on the number of tickets sold.

r (n) = 65n

If c = cost and n=number of tickets sold, then c (n) shows how cost (expenses of the concert promoter) depends on the number of tickets sold.

c (n) = 4n+5500

Part 1: write an equation fir the profict function p (n). Show your work.

hint: profit = revenue - cost

Part 2: fine the profit for the concert promoter if he sells 850 tickets. Show your work and explain what your answer means in terms of the problem.

+4

Answers (2)

Know the Answer?

Gabriela Strickland · Answer 1

You would just plug in the formulas given to you following the hint it's:

r (n) - c (n)

which goes to

65n - (4n + 5500)

then we can simplify that to

61n - 5500

Part 2:

61 (850) - 5500

51850 - 5500 = 46350

this means if he sells 850 tickets he will make a net of 46350 dollars

Taylor Lamb · Answer 2

Let the number of units sold be n

Revenue = 65*n

Cost function = 5500 + 4*n

Profit function = Revenue - Cost

=65n - (5500+4n)

61n-5500