SOLUTION: A carpenter makes and sells rocking chairs. the material for each chair costs $22.50. the chairs sell for $75 each. if the carpenter spends $420 on advertising, how many chairs mus

Question 1199174: A carpenter makes and sells rocking chairs. the material for each chair costs $22.50. the chairs sell for $75 each. if the carpenter spends $420 on advertising, how many chairs must she sell to break even?
I really need steps on how to do this
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
material = 22.50 per chair.
advertising = 420.
let x = the number of chairs.
revenue = 75 * x
cost = 420 + 22.50 per chair.
break even is when the cost is equal to the revenue.
your equation is:
75 * x = 420 + 22.50 * x
subtract 22.50 * x from both sides of the equation to get:
75 * x - 22.50 * x = 420
combine like terms to get:
52.50 * x = 420
divide both sides of the equation by x to get:
420 / 52.50 = x
solve for x to get:
x = 8
carpenter needs to esll 8 chairs to break evn.
revenue = 75 * 8 = 600
cost = 420 + 22.50 * 8 = 600
the break even point is when the revenue = 600 and the cost = 600.
that occurs when the number of chairs sold is 8.

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