Question

the amount of revenue 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

The problem gives that the Revenue = Cost of Production

y=4x
y=0.5x+280

4x=0.5x+280
3.5x=280
x=80

Jason need to sell 80 posters to break even. Revenue = Cost of production

Answer 2

If the revenue and cost are equal, then we get the equation:

`4x=1/2x+280`
Solving the above equation for x:

`4x-1/2x=280\\ (4-(1)/(2))x=280\\ (7)/(2)x=280\\ x=(2)/(7)*280=80`
The number of posters does jason need to sell so that the cost and revenue are equal is 80.