SOLUTION: 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 t

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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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