A farmer sells organic zucchini, yellow squash, and corn in two different roadside stands. Matrix Q represents the number of pounds of each type of vegetable sold at each stand. Matrix P gives the price per pound of each item. Find the product Q P and interpret the result. Yellow Zucchini squash Corn Q = 42 40 84 30 36 90 Stand 1 Stand 2 P = $ 4.00 $ 3.40 $ 4.20 Zucchini Yellow squash Corn
A farmer sells organic zucchini, yellow squash, and corn in two different roadside stands. Matrix Q represents the number of pounds of each type of vegetable sold at each stand. Matrix P gives the price per pound of each item. Find the product Q P and interpret the result. Yellow Zucchini squash Corn Q = 42 40 84 30 36 90 Stand 1 Stand 2 P = $ 4.00 $ 3.40 $ 4.20 Zucchini Yellow squash Corn
Solution Summary: The author calculates the product, QP, and interprets it. The matrix represents the total revenue from two different stands.
A farmer sells organic zucchini, yellow squash, and corn in two different roadside stands. Matrix
Q
represents the number of pounds of each type of vegetable sold at each stand. Matrix
P
gives the price per pound of each item. Find the product
Q
P
and interpret the result.
Yellow
Zucchini
squash
Corn
Q
=
42
40
84
30
36
90
Stand 1
Stand 2
P
=
$
4.00
$
3.40
$
4.20
Zucchini
Yellow squash
Corn
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
=
5 37
A 4 8 0.5
06
9
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?
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