
(h)
Measurement of the length for dimension (h).

Answer to Problem 14A
Measurement of the length is
Explanation of Solution
Given:
The line is given below:
Concept used:
Length is measured with the help of inch scale.
Calculation:
Attached the inch scale over given length.
From the above figure, the length of the line can be measured as follows:
Thus, measurement of the length is
Conclusion:
Measurement of the length is
(i)
Measurement of the length for dimension (i).

Answer to Problem 14A
Measurement of the length is
Explanation of Solution
Given:
The line is given below:
Concept used:
Length is measured with the help of inch scale.
Calculation:
Attached the inch scale over given length.
From the above figure, the length of the line can be measured as follows:
Thus, measurement of the length is
Conclusion:
Measurement of the length is
(j)
Measurement of the length for dimension (j).

Answer to Problem 14A
Measurement of the length is
Explanation of Solution
Given:
The line is given below:
Concept used:
Length is measured with the help of inch scale.
Calculation:
Attached the inch scale over given length.
From the above figure, the length of the line can be measured as follows:
Thus, measurement of the length is
Conclusion:
Measurement of the length is
(k)
Measurement of the length for dimension (k).

Answer to Problem 14A
Measurement of the length is
Explanation of Solution
Given:
The line is given below:
Concept used:
Length is measured with the help of inch scale.
Calculation:
Attached the inch scale over given length.
From the above figure, the length of the line can be measured as follows:
Thus, measurement of the length is
Conclusion:
Measurement of the length is
(l)
Measurement of the length for dimension (l).

Answer to Problem 14A
Measurement of the length is
Explanation of Solution
Given:
The line is given below:
Concept used:
Length is measured with the help of inch scale.
Calculation:
Attached the inch scale over given length.
From the above figure, the length of the line can be measured as follows:
Thus, measurement of the length is
Conclusion:
Measurement of the length is
(m)
Measurement of the length for dimension (m).

Answer to Problem 14A
Measurement of the length is
Explanation of Solution
Given:
The line is given below:
Concept used:
Length is measured with the help of inch scale.
Calculation:
Attached the inch scale over given length.
From the above figure, the length of the line can be measured as follows:
Thus, measurement of the length is
Conclusion:
Measurement of the length is
(n)
Measurement of the length for dimension (n).

Answer to Problem 14A
Measurement of the length is
Explanation of Solution
Given:
The line is given below:
Concept used:
Length is measured with the help of inch scale.
Calculation:
Attached the inch scale over given length.
From the above figure, the length of the line can be measured as follows:
Thus, measurement of the length is
Conclusion:
Measurement of the length is
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Chapter 30 Solutions
Mathematics For Machine Technology
- 10. In the general single period market model with = {W1, W2, W3}, one risky asset, S, and a money market account, we have So = 4 for the risky asset. Moreover, the effective rate of interest on the money market account is 5% and at time t = 1 we have W1 W2 W3 S₁ 100 50 40 21 21 21 (a) Calculate all risk-neutral probability measures for this model. [4 Marks] (b) State if the model is arbitrage-free. Give a brief reason for your answer. [2 Marks] (c) A large bank has designed an investment product with payoff X at time t = 1. Given W₁ W2 W3 X 0 1 1.5 show that X is an attainable contingent claim. [4 marks]arrow_forwardadded 2 imagesarrow_forwardA 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 Send data to calculator Send data to Excel The least-squares regression line for these data has a slope…arrow_forward
- help on this, results givenarrow_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_forwardb) 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_forward
- 9. 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_forwardb) 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_forward
- Suppose 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_forwardPlease solve number 2.arrow_forward
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