# pre-algebra, math

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You make and sell birdhouses. Your
fixed costs for your tools and workspace are \$3000. The cost of wood
and other materials needed to make a birdhouse is \$10. You sell each
birdhouse for \$50. Let x represent the number of birdhouses you make
and sell.
a. Write a function for your total costs, c(x).
b. Write a function for your income, i(x).
c. Analyze Your profit is the difference of your income and total costs.
Write a function for your profit, p(x).
d. What is your profit when you make and sell 100 birdhouses?
e. Interpret and Apply You are said to “break even” when your profit is
\$0. How many birdhouses do you need to make and sell in order to
break even?

• pre-algebra, math -

total costs c(x)= 3,000 + 10 x

i(x) = 50 x

p(x) = i(x) - c(x)
= (50-10)x - 3,000
= 40 x - 3,000

40(100) - 3,000 = 1,000

0 = 40 x - 3,000
x = 300/4 = 75

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