Suppose that y = C x represents the cost to produce x items, and that y = R x represents the revenue for selling x items. The profit P x of producing and selling x items is defined by P x = _ _ _ _ _ _ .
Suppose that y = C x represents the cost to produce x items, and that y = R x represents the revenue for selling x items. The profit P x of producing and selling x items is defined by P x = _ _ _ _ _ _ .
Solution Summary: The author explains how to find the linear profit function, which models the profit for producing and selling x items.
Suppose that
y
=
C
x
represents the cost to produce
x
items, and that
y
=
R
x
represents the revenue for selling
x
items. The profit
P
x
of producing and selling
x
items is defined by
P
x
=
_
_
_
_
_
_
.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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