Answer to Question #287727 in Algebra for austyn

Question

To break even in a manufacturing​ business, income or revenue R must equal the cost of production C. The cost C to produce x skateboards is C=63+22x. The skateboards are sold wholesale for ​$25 ​each, so revenue R is given by R=25x. Find how many skateboards the manufacturer needs to produce and sell to break even.​ (Hint: Set the cost expression equal to the revenue expression and solve for​ x.)

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Part 1

The manufacturer needs to produce and sell

enter your response here

skateboards to break even.

​(Simplify your​ answer.)

Answer 1

C=63+22x

R=25x

To break even, C=R

63+22x=25x

Group like terms,

25x-22x=63

3x=63

Simplify to get,

x=21

Thus to break even the manufacturer needs to produce 21 skateboards.