Q8 q22.) a company that manufactures small canoes has a fixed cost of $18,000. it costs $40 to produce each canoe. the selling price is $160 per canoe. (in solving this problem, let x represent the number of canoes produced and sold.)

A. fixed costs of 18,000 and then 40 per canoe

c(x) = 18000 +40x

B) sell price is 160 per canoe, so r(x) = 160x

C) break even, set both a and b equal to each other and solve for x

18000 + 40x = 160x

subtract 40x from each side:

1800 = 120x

divide both sides by 120
x = 18000 / 120 = 150 canoes

break even means the money coming in equals the money going out

The Cost function is the amount that each canoe costs, as well as the fixed cost.

let C(x) be the total amount
let x be the canoe produced

C(x) = 40x + 18000

The revenue function is the amount the canoe is selling at.

R(x) = 160x

160x = 40x + 18000

find what x is, subtract 40x from both sides

160x (-40x) = 40x (-40x) + 18000

160x - 40x = 18000

120x = 18000

isolate the x, divide 120 from both sides

120x/120 = 18000/120

x = 18000/120

R(x) = 150

I believe C means:
Break- even point: if it means the amount to make it back to $0.

Use "160x = 18000 + 40x" again.

x should still = 150, for after 150 canoes, they would make $0 profit.
A. the money coming in equals the money going out (for $0 profit)

hope this helps