Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 86, Problem 15A
To determine
Conversion of BCD (8421) numbers 1001 to a decimal numbers.
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In Problems 1 and 2 find the eigenfunctions and the equation that
defines the eigenvalues for the given boundary-value problem. Use a
CAS to approximate the first four eigenvalues A1, A2, A3, and A4. Give
the eigenfunctions corresponding to these approximations.
1. y" + Ay = 0, y'(0) = 0, y(1) + y'(1) = 0
Find the closed formula for each of the following sequences (a_n)_n>=1 by realting them to a well known sequence. Assume the first term given is a_1
d. 5,23,119,719,5039
i have tried finding the differnces and the second difference and i still dont see the pattern
You manage a chemical company with 2 warehouses. The following quantities of
Important Chemical A have arrived from an international supplier at 3 different
ports:
Chemical Available (L)
Port 1
Port 2
Port 3
400
110
100
The following amounts of Important Chemical A are required at your warehouses:
Warehouse 1
Warehouse 2
Chemical Required (L)
380
230
The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:
Warehouse 1 Warehouse 2
Port 1
£10
£45
Port 2
£20
£28
Port 3
£13
£11
(a) You want to know how to send these shipments as cheaply as possible. For-
mulate this as a linear program (you do not need to formulate it in standard
inequality form) indicating what each variable represents.
Chapter 86 Solutions
Mathematics For Machine Technology
Ch. 86 - Prob. 1ACh. 86 - Prob. 2ACh. 86 - Prob. 3ACh. 86 - Prob. 4ACh. 86 - Prob. 5ACh. 86 - Prob. 6ACh. 86 - Prob. 7ACh. 86 - Prob. 8ACh. 86 - Prob. 9ACh. 86 - Express the following decimal numbers as BCD...
Ch. 86 - Prob. 11ACh. 86 - Prob. 12ACh. 86 - Prob. 13ACh. 86 - Prob. 14ACh. 86 - Prob. 15ACh. 86 - Prob. 16ACh. 86 - Prob. 17ACh. 86 - Prob. 18ACh. 86 - Prob. 19ACh. 86 - Prob. 20ACh. 86 - Prob. 21ACh. 86 - Express the following BCD (8421) numbers as...Ch. 86 - Express the following decimal numbers as 2421 code...Ch. 86 - Prob. 24ACh. 86 - Prob. 25ACh. 86 - Prob. 26ACh. 86 - Prob. 27ACh. 86 - Express the following 2421 code numbers as decimal...Ch. 86 - Prob. 29ACh. 86 - Prob. 30ACh. 86 - Express the following decimal numbers as 5211 code...Ch. 86 - Prob. 32ACh. 86 - Express the following decimal numbers as 5211 code...Ch. 86 - Prob. 34ACh. 86 - Prob. 35ACh. 86 - Prob. 36ACh. 86 - Prob. 37ACh. 86 - Prob. 38ACh. 86 - Prob. 39ACh. 86 - Prob. 40ACh. 86 - Prob. 41ACh. 86 - Express the following decimal numbers as Excess-3...Ch. 86 - Prob. 43ACh. 86 - Prob. 44ACh. 86 - Prob. 45ACh. 86 - Prob. 46A
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- 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 12 23 81 82 83 S4 $1 -20 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 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 21 - - 2x2 + x3 - 4x4 subject to 2x1+x22x3x4≥ 1, 5x1+x2-x3-4 -1, 2x1+x2-x3-342, 1, 2, 3, 4 ≥0.arrow_forwardSuppose we have a linear program in standard equation form maximize c'x 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_forward(a) For the following linear programme, sketch the feasible region and the direction of the objective function. Use you sketch to find an optimal solution to the program. State the optimal solution and give the objective value for this solution. maximize +22 subject to 1 + 2x2 ≤ 4, 1 +3x2 ≤ 12, x1, x2 ≥0 (b) For the following linear programme, sketch the feasible region and the direction of the objective function. Explain, making reference to your sketch, why this linear programme is unbounded. maximize ₁+%2 subject to -2x1 + x2 ≤ 4, x1 - 2x2 ≤4, x1 + x2 ≥ 7, x1,x20 Give any feasible solution to the linear programme for which the objective value is 40 (you do not need to justify your answer).arrow_forward
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