Question

A comedy club's nightly revenue from the sale of x tickets is given by R = 15x and its
nightly costs are given by C= 1.25x + 495. How many tickets need to be sold each night
to break even? In other words, when will revenue equal costs?

Answer 1

Considering the given equations for the revenue and the cost, it is found that 36 tickets have to be sold each night to break even.

What is the break-even point?

The break-even point is when the revenue and the costs are equal.

In this problem, the equations are given as follows:

• R(x) = 15x.

• C(x) = 1.25x + 495.

At the break-even point:

R(x) = C(x)

15x = 1.25x + 495

13.75x = 495

x = 495/13.75

x = 36.

36 tickets have to be sold each night to break even.

More can be learned about break-even point at https://brainly.com/question/9212451

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