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