Question

A company that manufactures small canoes has a fixed cost of $14,000. It costs $140 to produce each canoe. The selling price is $280 per canoe. (In solving this exercise, let x represent the number of

canoes produced and sold)
a. Write the cost function.
C(x)= (Type an expression using x as the variable.)

Answer 1

The cost function for producing x canoes, given a fixed cost of $14,000 and a production cost of $140 per canoe, is C(x) = $14,000 + $140x.

Step-by-step explanation:

The student asked for the cost function for a company that manufactures small canoes with a fixed cost of $14,000 and a production cost of $140 per canoe. The cost function C(x) represents the total cost of producing x canoes. To find this, we sum the fixed costs and the variable costs (which is the production cost per canoe multiplied by the number of canoes produced). Therefore, the cost function can be expressed as:

C(x) = Fixed Costs + (Production Cost per Canoe × Number of Canoes)

Substitute the given values: C(x) = $14,000 + $140x

Answer 2

Answer:he cost function is

C(x) = 14000 + 20x

The revenue function is

R(x) = 40x

To find the break-even point, just set these equations equal.....so we have.....

14000 + 20x = 40x subtract 20x from both sides

14000 = 20x divide both sides by 20

x = 700 and the "y" for the ordered pair can be found by plugging this x value into either function....using the revenue function, we have ...... 40(700) = 28000

So, the ordered pair for the break-even point is (700, 28000)

The break-even point means that the total costs = total revenue.......if we sell more than 700 canoes, we make money.......else, we lose money.......

Step-by-step explanation: