The graph of the cost function is shown in red and the graph of the revenue func

Question

The graph of the cost function is shown in red and the graph of the revenue function is shown in green. The break-even point, where C(x)=R(x), is indicated when the "Show Break-Even Point" option is selected. The area where a loss occurs is shaded in red, while the area where a profit occurs is shaded in green. Let the cost function be given by C(x)=15x+200 and the revenue function be given by R(x)=23x.

(Use the interactive figure to find your answer.)

The break-even point is_____________

(Type an ordered pair.)

Select the "Show Functions" option, and then graph both functions by sliding the dots to the desired values. Find the break-even point.

(Use the interactive figure to find your answer.)

Explanation / Answer

The break-even point is where cost function and revenue functios are equal,

Thus C(x)=R(x),

we have been given that C(x) = 15x+200 and R(x) =23x

for break even point: 15x+200 = 23x

8x = 200

x = 25 is break even point

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