a company that manufactures small canoes has a fixed cost of $14,000. it costs $20 to produce each canoe. the selling price is $40 per canoe. (insolving this exercise, let x represent the n umber of canoes produced and sold.)
write the cost function
C(x)=___ (type an expression using x as the variable)
write the revenue function
R(x)=__(type an expression using x as the variable)
Determine the break-even point
___ (type an order pair. do not use comman in large numbers)
This means that when the company produces ad sells the break-even numbers of canoes what?
more money coming in than out?
less money coming in than out?
the money equals the money going out?
the is not enoug iinformation?
+130511 The 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.......
+130511 The 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.......
