Break-even analysis. Use the revenue function from Problem 69 and the given cost function: R x = x 75 − 3 x Revenue function C x = 125 + 16 x C o s t function where x is in millions of chips, and R x and C x are in millions of dollars. Both functions have domain 1 ≤ x ≤ 20 . (A) Sketch a graph of both functions in the same rectangular coordinate system . (B) Find the break-even points to the nearest thousand chips. (C) For what values of x will a loss occur? A profit?
Break-even analysis. Use the revenue function from Problem 69 and the given cost function: R x = x 75 − 3 x Revenue function C x = 125 + 16 x C o s t function where x is in millions of chips, and R x and C x are in millions of dollars. Both functions have domain 1 ≤ x ≤ 20 . (A) Sketch a graph of both functions in the same rectangular coordinate system . (B) Find the break-even points to the nearest thousand chips. (C) For what values of x will a loss occur? A profit?
Break-even analysis. Use the revenue function from Problem
69
and the given cost function:
R
x
=
x
75
−
3
x
Revenue function
C
x
=
125
+
16
x
C
o
s
t
function
where
x
is in millions of chips, and
R
x
and
C
x
are in millions of dollars. Both functions have domain
1
≤
x
≤
20
.
(A) Sketch a graph of both functions in the same rectangular coordinate system.
(B) Find the break-even points to the nearest thousand chips.
(C) For what values of
x
will a loss occur? A profit?
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
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