The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars. Use
the information in the figure to answer the question.
-The company's cost for manufacturing x binoculars is determined by the equation y = x + 1500. The revenue for selling x binoculars is determined by the equation y = 3x. The break-even point is the point at which the cost
And revenue equations intersect. At the break-even point both cost and revenue are what?
A)$750
B)$2700
C)$2250
D)$1500

Question

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars. Use
the information in the figure to answer the question. 
-The company's cost for manufacturing x binoculars is determined by the equation y = x + 1500. The revenue for selling x binoculars is determined by the equation y = 3x. The break-even point is the point at which the cost
And revenue equations intersect. At the break-even point both cost and revenue are what?
A)$750 
B)$2700 
C)$2250 
D)$1500

Quizplus · Accepted Answer

To find the break-even point, we need to set the cost equation equal to the revenue equation and solve for x:
x + 1500 = 3x
2x = 1500
x = 750
So, the break-even point is when the company sells 750 binoculars. 
To find the cost and revenue at this point, we can plug in x = 750 into either equation:
Cost: y = x + 1500 = 750 + 1500 = 2250
Revenue: y = 3x = 3(750) = 2250
Therefore, at the break-even point, both the cost and revenue are $2250. 
So, the correct answer is C. To find the break-even point, we need to find the point where the cost equals the revenue. We set the two equations equal to each other and solve for x:
x + 1500 = 3x 
2x = 1500 
x = 750 
So the break-even point occurs at x = 750. 
To find the cost and revenue at this point, we plug in x = 750 into the equations: 
Cost: y = x + 1500 = 750 + 1500 = 2250 
Revenue: y = 3x = 3(750) = 2250 
Therefore, at the break-even point, both cost and revenue are $2250.

The Figure Shows the Graphs of the Cost and Revenue