A musician charges C (x) = 64x + 20, 000, where x is the total number of attendees at the
concert. The venue charges $80 per ticket. After how many people buy tickets does the venue
break even, and what is the value of the total tickets sold at that point?

Respuesta :

The number of people at the break even point is 1250 and the total ticket sold is $100000

How to determine the number of people at the break even point?

The cost function is given as:

C(x) = 64x + 20000

The venue charges $80 per ticket.

So, the revenue function is

R(x) = 80x

At break even point, we have

R(x) = C(x)

Substitute the known values in the above equation

80x = 64x + 20000

Evaluate the like terms

16x = 20000

Divide both sides by 16

x = 1250

Substitute x = 1250 in R(x) = 80x

R(1250) = 80 * 1250

Evaluate

R(1250) = 100000

Hence, the number of people at the break even point is 1250 and the total ticket sold is $100000

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