Railing Sales . Fireside Castings finds that the total revenue R from the sale of x units of railing is given by the function R ( x ) = 100 x + x 2 . Fireside also finds that the total cost C of producing x units of the same product is given by the function C ( x ) = 80 x + 1500. A break-even point is a value of x for which total revenue is the same as total cost; that R ( x ) = C ( x ) . How many units must be sold in break even?
Railing Sales . Fireside Castings finds that the total revenue R from the sale of x units of railing is given by the function R ( x ) = 100 x + x 2 . Fireside also finds that the total cost C of producing x units of the same product is given by the function C ( x ) = 80 x + 1500. A break-even point is a value of x for which total revenue is the same as total cost; that R ( x ) = C ( x ) . How many units must be sold in break even?
Solution Summary: The author calculates the number of units to be sold in order to break even since total revenue R from the sales x unit of railing is given by function: R(x)=100x+x
Railing Sales. Fireside Castings finds that the total revenue R from the sale of x units of railing is given by the function
R
(
x
)
=
100
x
+
x
2
.
Fireside also finds that the total cost C of producing x units of the same product is given by the function
C
(
x
)
=
80
x
+
1500.
A break-even point is a value of x for which total revenue is the same as total cost; that
R
(
x
)
=
C
(
x
)
. How many units must be sold in break even?
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