Question

2000 people is attending to a concert if tickets cost $40. expenses are $8 per person in attendance for each concert. For each $2 of decrease in the ticket cost 200 more people will attend. calculate the price of the ticket that produces more profit

Answer 1

profit = revenue - cost

Answer 2

cost(x) = 8x

revenue(x) = x(200/-2(x)) = x(-100x) if i did it right

Answer 3

i tend to get the revenue mixed up

its price * number sold

Answer 4

40,2000 with a slope of -100

y = -100x +100(40)+2000

y = -100x + 6000 = number of people in attendance

revenue = (-100x + 6000)x
= -100x^2 + 6000x

profit = revenue - cost
= -100x^2 +6000x - (8(-100x + 6000))
= -100x^2 +6000x -(-800x + 48000)
= -100x^2 +6000x +800x -48000

= -100x^2 +6800x -48000

thats better

Answer 5

we just determine the vertex of this parabola and that is the price per ticket that brings in the most money