(a) To determine Two equations representing the traffic entering and leaving intersections C and D . Explanation Given: During rush hours, substantial traffic congestion is encountered at the intersections shown in the figure. (The arrows indicate one-way streets.). Explanation: Consider x 1 , x 2 , x 3 , x 4 are the number of cars through the streets M , 11 th , a n d N , 10 th respectively. The number of cars entering A must equal the number leaving, hence for the intersection A : x 1 + x 4 = 700 + 300 That is: x 1 + x 4 = 1000 … … ( 1 ) The number of cars entering B must equal the number leaving, hence for the intersection B : x 1 + x 2 = 900 + 200 That is: x 1 (b) To determine The system of equations using x 4 as one parameter. (c) To determine The largest and smallest possible values for the number of cars leaving intersection A on 10 t h Street. (d) To determine The largest and smallest possible values of the parameter x 1 , x 2 , x 3 . (e) To determine It could have been discarded any one of the four original equations without changing the solution and the significance about the original problem.

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

11th Edition

ISBN: 9780321931078

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Question

Chapter 6.3, Problem 19E

(a)

To determine

Two equations representing the traffic entering and leaving intersections C and D.

(b)

To determine

The system of equations using x4 as one parameter.

(c)

To determine

The largest and smallest possible values for the number of cars leaving intersection A on 10th Street.

(d)

To determine

The largest and smallest possible values of the parameter x1,x2,x3.

(e)

To determine

It could have been discarded any one of the four original equations without changing the solution and the significance about the original problem.

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Chapter 6.3, Problem 18E

Chapter 6.3, Problem 20E

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Chapter 6 Solutions

Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)

Ch. 6.1 - Checkpoint1 Use the substitution method tosolve...Ch. 6.1 - Checkpoint 2 Use the elimination method to solve...Ch. 6.1 - Checkpoint 3 Solve the system of equations . Draw...Ch. 6.1 - Checkpoint 4 Solve the following system: Ch. 6.1 - Checkpoint 5 Solve the system Draw the graph of...Ch. 6.1 - Prob. 6CP Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Use substitution to solve each system. (See...Ch. 6.1 - Use substitution to solve each system. (See...

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