The labor costs per hour for an electrician, plumber, and air-conditioning/heating expert are given in matrix L . The time required from each specialist for three new model homes is given in matrix T . Cost/hr L = $ 45 $ 38 $ 35 Electrician Plumber AC/heating Time (hr) Electrician Plumber AC/heating T = 22 16 14 28 21 18 18 14 9 Model 1 Model 2 Model 3 a. Which product L T or T L gives the total cost for these three services for each model? b. Find a matrix that gives the total cost for these three services for each model.
The labor costs per hour for an electrician, plumber, and air-conditioning/heating expert are given in matrix L . The time required from each specialist for three new model homes is given in matrix T . Cost/hr L = $ 45 $ 38 $ 35 Electrician Plumber AC/heating Time (hr) Electrician Plumber AC/heating T = 22 16 14 28 21 18 18 14 9 Model 1 Model 2 Model 3 a. Which product L T or T L gives the total cost for these three services for each model? b. Find a matrix that gives the total cost for these three services for each model.
Solution Summary: The author explains that the matrix L represents the labour cost for an electrician, plumber, and air-conditioning/heating expert, while T is the time required from each specialist for three new model homes.
The labor costs per hour for an electrician, plumber, and air-conditioning/heating expert are given in matrix
L
. The time required from each specialist for three new model homes is given in matrix
T
.
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?
Elementary Statistics: Picturing the World (7th Edition)
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