Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 84, Problem 39A
To determine
The decimal number
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A movie studio wishes to determine the relationship between the revenue generated from the streaming of comedies and the revenue generated from the
theatrical release of such movies. The studio has the following bivariate data from a sample of fifteen comedies released over the past five years. These data
give the revenue x from theatrical release (in millions of dollars) and the revenue y from streaming (in millions of dollars) for each of the fifteen movies. The
data are displayed in the Figure 1 scatter plot.
Theater
revenue, x
Streaming
revenue, y
(in millions of (in millions of
dollars)
dollars)
13.2
10.3
62.6
10.4
20.8
5.1
36.7
13.3
44.6
7.2
65.9
10.3
49.4
15.7
31.5
4.5
14.6
2.5
26.0
8.8
28.1
11.5
26.1
7.7
28.2
2.8
60.7
16.4
6.7
1.9
Streaming
revenue
(in millions of dollars)
18+
16+
14
12+
xx
10+
8+
6+
2-
0
10
20 30 40
50
60
70
Theater revenue
(in millions of dollars)
Figure 1
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The least-squares regression line for these data has a slope…
help on this, results given
a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we have
reached a point where we have obtained the following tableau. Apply one more pivot
operation, indicating the highlighted row and column and the row operations you carry
out. What can you conclude from your updated tableau?
x1
x2 x3
81 82
83
84
81
-2 0
1 1 0
0
0
3
82
3 0
-2 0
1
2
0
6
12
1
1
-3
0
0
1
0
2
84
-3 0
2
0
0 -1
1
4
-2 -2 0
11
0
0-4
0
-8
Chapter 84 Solutions
Mathematics For Machine Technology
Ch. 84 - Prob. 1ACh. 84 - Prob. 2ACh. 84 - Prob. 3ACh. 84 - Prob. 4ACh. 84 - Prob. 5ACh. 84 - Prob. 6ACh. 84 - Prob. 7ACh. 84 - Prob. 8ACh. 84 - Prob. 9ACh. 84 - Analyze the following numbers. 0.802
Ch. 84 - Prob. 11ACh. 84 - Prob. 12ACh. 84 - Prob. 13ACh. 84 - Prob. 14ACh. 84 - Prob. 15ACh. 84 - Prob. 16ACh. 84 - Prob. 17ACh. 84 - Prob. 18ACh. 84 - Prob. 19ACh. 84 - Prob. 20ACh. 84 - Prob. 21ACh. 84 - Prob. 22ACh. 84 - Prob. 23ACh. 84 - Prob. 24ACh. 84 - Prob. 25ACh. 84 - Prob. 26ACh. 84 - Prob. 27ACh. 84 - Prob. 28ACh. 84 - Prob. 29ACh. 84 - Prob. 30ACh. 84 - Prob. 31ACh. 84 - Prob. 32ACh. 84 - Prob. 33ACh. 84 - Prob. 34ACh. 84 - Prob. 35ACh. 84 - Express the following binary numbers as decimal...Ch. 84 - Prob. 37ACh. 84 - Prob. 38ACh. 84 - Prob. 39ACh. 84 - Prob. 40ACh. 84 - Prob. 41ACh. 84 - Prob. 42ACh. 84 - Prob. 43ACh. 84 - Prob. 44ACh. 84 - Prob. 45ACh. 84 - Prob. 46ACh. 84 - Prob. 47ACh. 84 - Prob. 48ACh. 84 - Prob. 49ACh. 84 - Prob. 50ACh. 84 - Prob. 51ACh. 84 - Prob. 52ACh. 84 - Express the following decimal numbers as binary...Ch. 84 - Prob. 54ACh. 84 - Prob. 55ACh. 84 - Prob. 56ACh. 84 - Express the following decimal numbers as binary...
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- b) Solve the following linear program using the 2-phase simplex algorithm. You should give the initial tableau, and each further tableau produced during the execution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize ₁ - 2x2+x34x4 subject to 2x1+x22x3x41, 5x1 + x2-x3-×4 ≤ −1, 2x1+x2-x3-34 2, 1, 2, 3, 40.arrow_forwardSuppose we have a linear program in standard equation form maximize cTx subject to Ax = b. x ≥ 0. and suppose u, v, and w are all optimal solutions to this linear program. (a) Prove that zu+v+w is an optimal solution. (b) If you try to adapt your proof from part (a) to prove that that u+v+w is an optimal solution, say exactly which part(s) of the proof go wrong. (c) If you try to adapt your proof from part (a) to prove that u+v-w is an optimal solution, say exactly which part(s) of the proof go wrong.arrow_forwarda) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in standard inequality form (with 3 variables and 4 constraints) and suppose that we have reached a point where we have obtained the following tableau. Apply one more pivot operation, indicating the highlighted row and column and the row operations you carry out. What can you conclude from your updated tableau? x1 x2 x3 81 82 83 84 81 -2 0 1 1 0 0 0 3 82 3 0 -2 0 1 2 0 6 12 1 1 -3 0 0 1 0 2 84 -3 0 2 0 0 -1 1 4 -2 -2 0 11 0 0-4 0 -8arrow_forward
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