Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 63, Problem 56AR
To determine
The volume of frustum (V).
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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
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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
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10.3
49.4
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28.1
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18+
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14
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xx
10+
8+
6+
2-
0
10
20 30 40
50
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Theater revenue
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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 63 Solutions
Mathematics for Machine Technology
Ch. 63 - Prob. 1ARCh. 63 - Express each area in Exercises 1 through 6 as...Ch. 63 - Express each area in Exercises 1 through 6 as...Ch. 63 - Express each area in Exercises 1 through 6 as...Ch. 63 - Prob. 5ARCh. 63 - Express each area in Exercises 1 through 6 as...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...
Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The following Exercises 7 through 19 involve...Ch. 63 - The cross section of a dovetail slide is shown....Ch. 63 - Compute the area of the pattern shown. Round the...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - The following Exercises 22 through 27 involve...Ch. 63 - Find the area of each of the segments ACB for...Ch. 63 - Prob. 29ARCh. 63 - Find the area of each of the segments ACB for...Ch. 63 - Find the area of the shaded segment shown. Round...Ch. 63 - A circular plate with a 15.00-inch radius is cut...Ch. 63 - Compute the cross-sectional area of the grooved...Ch. 63 - Find the area of the pattern shown. Round the...Ch. 63 - Prob. 35ARCh. 63 - Express each volume in Exercises 35 through 40 as...Ch. 63 - Prob. 37ARCh. 63 - Express each volume in Exercises 35 through 40 as...Ch. 63 - Express each volume in Exercises 35 through 40 as...Ch. 63 - Express each volume in Exercises 35 through 40 as...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 45ARCh. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 47ARCh. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 49ARCh. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 51ARCh. 63 - Prob. 52ARCh. 63 - Prob. 53ARCh. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 56ARCh. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Solve these prism and cylinder exercises. Where...Ch. 63 - Prob. 60ARCh. 63 - Prob. 61ARCh. 63 - Diameter 9.050 centimeters; Volume Round the...Ch. 63 - Prob. 63ARCh. 63 - Volume = 42.98 cubic inches; Diameter = Round the...Ch. 63 - Volume = 775 cubic centimeters; Diameter = Round...Ch. 63 - The side view of a steel roundhead (hemisphere)...Ch. 63 - Prob. 67ARCh. 63 - A hollow glass sphere has an outside circumference...Ch. 63 - Prob. 69ARCh. 63 - Compute the number of cubic centimeters of iron...
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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_forward9. An elementary single period market model contains a risk-free asset with interest rate r = 5% and a risky asset S which has price 30 at time t = 0 and will have either price 10 or 60 at time t = 1. Find a replicating strategy for a contingent claim with payoff h(S₁) = max(20 - S₁, 0) + max(S₁ — 50, 0). Total [8 Marks]arrow_forward8. An elementary single period market model has a risky asset with price So = 20 at the beginning and a money market account with interest rate r = 0.04 compounded only once at the end of the investment period. = = In market model A, S₁ 10 with 15% probability and S₁ 21 with 85% probability. In market model B, S₁ = 25 with 10% probability and S₁ = 30 with 90% probability. For each market model A, B, determine if the model is arbitrage-free. If not, construct an arbitrage. Total [9 Marks]arrow_forward
- 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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