Question

The amount recenue in dollars, y, that jason receives from selling x posters is given by the equation y=4x. the cost of producing x posters is given by the equation y=1/2x+280. how many posters does jason need to sell so that the cost and revenue are equal?

Answer 1

For this case we have the following equations:
revenue: y = 4x
cost: y = 1 / 2x + 280
We must match both equations:
4x = 1 / 2x + 280
From here, we clear the value of x:
4x-1 / 2x = 280
7 / 2x = 280
x = (2/7) * (280)
x = 80
Answer:
jason needs to sell 80 posters so that the cost and revenue are equal