Question 1083274: I think I need to make a table to answer this question but I don't know where to start. Here is the problem:
The point at which a company's costs equal its revenues is the break-even point. C represents the cost, in dollars, of x units of a product and R represents the revenue, in dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. That is, find the value of x for which
C=R. C=13x + 40,000 and R=17x.
How many units must be produced and sold in order to break even?
Thank you!
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! this is easier than you think.
R = 17x
C = 40,000 + 13x
when R = C, you get:
17x = 40,000 + 13x
subtract 13x from both sides of the equation to get:
17x - 13x = 40,000
combine like terms to get 4x = 40,000
solve for x to get x = 10,000
that's your break even point.
r = 17x = 17*10,000 = 170,000
c = 40,000 + 13x = 40,000 + 130,000 = 170,000
revenue equals cost when number of units produced and sold is equal to 10,000.
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