Use the profit equation from matched problem 3 : P x = R x − C x = − 5 x 2 + 75.1 x − 156 Profit function domain : 1 ≤ x ≤ 15 (a) Sketch a graph of the profit function in a rectangular coordinate system . (b) Break even points occur when P x = 0 find the break-even points algebraically to the nearest thousand cameras (c) Plot the profit function in an appropriate viewing window. (d) Find the break-even point graphically to the nearest thousand cameras. (e) A loss occurs if P x < 0 , and a profit occurs if P x > 0 for what values of x (to the nearest thousand cameras) will a loss occur? A profit?
Use the profit equation from matched problem 3 : P x = R x − C x = − 5 x 2 + 75.1 x − 156 Profit function domain : 1 ≤ x ≤ 15 (a) Sketch a graph of the profit function in a rectangular coordinate system . (b) Break even points occur when P x = 0 find the break-even points algebraically to the nearest thousand cameras (c) Plot the profit function in an appropriate viewing window. (d) Find the break-even point graphically to the nearest thousand cameras. (e) A loss occurs if P x < 0 , and a profit occurs if P x > 0 for what values of x (to the nearest thousand cameras) will a loss occur? A profit?
P
x
=
R
x
−
C
x
=
−
5
x
2
+
75.1
x
−
156
Profit function
domain
:
1
≤
x
≤
15
(a) Sketch a graph of the profit function in a rectangular coordinate system.
(b) Break even points occur when
P
x
=
0
find the break-even points algebraically to the nearest thousand cameras
(c) Plot the profit function in an appropriate viewing window.
(d) Find the break-even point graphically to the nearest thousand cameras.
(e) A loss occurs if
P
x
<
0
, and a profit occurs if
P
x
>
0
for what values of
x
(to the nearest thousand cameras) 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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