Acompany that manufactures small canoes has a fixed cost of $24,000. it costs $100 to prod canoes produced and sold.) a. write the cost function. c(x) = 24,000 + 100x (type an expression using x as the variable.) b. write the revenue function. r(x) = 200x (type an expression using x as the variable.) c. determine the break-even point. (type an ordered pair. do not use commas in large numbers.)

a. C(x) = 24,000 + 100x

b. R(x) = 200x

c. Break-even point is 240 canoes

Step-by-step explanation:

a. Cost function is C(x) = FC + pcost * x

C(x) = 24,000 + 100x

Where  

FC=Fixed cost  = 24,000

pcost=costs  to prod canoes = $100

x=produce quantity

b.Revenue function

R(x) = Px * x

R(x) = 200x

Where  

Px=Price

x=produce quantity

c. Break-even point is the amount of canoes where revenue are the same as cost.  We cover the total cost with the sales.

So,  FC + pcost * x=Px * x

24,000 + 100x=200x

Isolating x

24,000 =200x- 100x

100x=24000

x=24,000/100

x=240

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