To prove: if k is not equal to − 6, then L does not have slope 1 3 .

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Answer 1

Question

Chapter 1.7, Problem 4E

(a)

To determine

To prove: if k is not equal to − 6, then L does not have slope 13 .

(b)

To determine

To prove: for every real number k , line L is not parallel to the x- axis.

(c)

To determine

To prove: Prove that there is a unique real number k such that L passes through (1, 4).

(d)

To determine

To prove: Prove that the x -intercept of L is less than k if and only if k is negative.

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For the Big-M tableau (of a maximization LP and row0 at bottom and M=1000), Z Ꮖ 1 x2 x3 81 82 83 e4 a4 RHS 0 7 0 0 1 0 4 3 -3 20 0 -4.5 0 0 0 1 -8 -2.5 2.5 6 0 7 0 1 0 0 8 3 -3 4 0 -1 50 1 0 0 0-2 -1 1 4 0000 0 30 970 200 If the original value of c₁ is increased by 60, what is the updated value of c₁ (meaning keeping the same set for BV. -10? Having made that change, what is the new optimal value for ž?

Here is the optimal tableau for a standard Max problem. zx1 x2 x3 24 81 82 83 rhs 1 0 5 3 0 6 0 1 .3 7.5 0 - .1 .2 0 0 28 360 0 -8 522 0 2700 0 6 12 1 60 0 0 -1/15-3 1 1/15 -1/10 0 2 Using that the dual solution y = CBy B-1 and finding B = (B-¹)-¹ we find the original CBV and rhs b. The allowable increase for b₂ is If b₂ is increased by 3 then, using Dual Theorem, the new value for * is If c₂ is increased by 10, then the new value for optimal > is i.e. if no change to BV, then just a change to profit on selling product 2. The original coefficients c₁ = =☐ a and c4 = 5 If c4 is changed to 512, then (first adjusting other columns of row0 by adding Delta times row belonging to x4 or using B-matrix method to update row0) the new optimal value, after doing more simplex algorithm, for > is

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Answer 2

Question

Chapter 1.7, Problem 4E

(a)

To determine

To prove: if k is not equal to − 6, then L does not have slope 13 .

(b)

To determine

To prove: for every real number k , line L is not parallel to the x- axis.

(c)

To determine

To prove: Prove that there is a unique real number k such that L passes through (1, 4).

(d)

To determine

To prove: Prove that the x -intercept of L is less than k if and only if k is negative.

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Answer 3

Question

Chapter 1.7, Problem 4E

(a)

To determine

To prove: if k is not equal to − 6, then L does not have slope 13 .

(b)

To determine

To prove: for every real number k , line L is not parallel to the x- axis.

(c)

To determine

To prove: Prove that there is a unique real number k such that L passes through (1, 4).

(d)

To determine

To prove: Prove that the x -intercept of L is less than k if and only if k is negative.

Expert Solution & Answer

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Answer 4

Question

Chapter 1.7, Problem 4E

(a)

To determine

To prove: if k is not equal to − 6, then L does not have slope 13 .

(b)

To determine

To prove: for every real number k , line L is not parallel to the x- axis.

(c)

To determine

To prove: Prove that there is a unique real number k such that L passes through (1, 4).

(d)

To determine

To prove: Prove that the x -intercept of L is less than k if and only if k is negative.

Expert Solution & Answer

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Answer 5

Chapter 1.7, Problem 4E

(a)

To determine

To prove: if k is not equal to − 6, then L does not have slope 13 .

(b)

To determine

To prove: for every real number k , line L is not parallel to the x- axis.

(c)

To determine

To prove: Prove that there is a unique real number k such that L passes through (1, 4).

(d)

To determine

To prove: Prove that the x -intercept of L is less than k if and only if k is negative.

Answer 6

Chapter 1.7, Problem 4E

(a)

To determine

To prove: if k is not equal to − 6, then L does not have slope 13 .

Answer 7

Chapter 1.7, Problem 4E

(a)

To determine

To prove: if k is not equal to − 6, then L does not have slope 13 .

Answer 8

(b)

To determine

To prove: for every real number k , line L is not parallel to the x- axis.

Answer 9

(b)

To determine

To prove: for every real number k , line L is not parallel to the x- axis.

Answer 10

(c)

To determine

To prove: Prove that there is a unique real number k such that L passes through (1, 4).

Answer 11

(c)

To determine

To prove: Prove that there is a unique real number k such that L passes through (1, 4).

Answer 12

(d)

To determine

To prove: Prove that the x -intercept of L is less than k if and only if k is negative.

Answer 13

(d)

To determine

To prove: Prove that the x -intercept of L is less than k if and only if k is negative.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 1.1 - Which of the following are propositions? Give the...Ch. 1.1 - For each pair of statements, determine whether the...Ch. 1.1 - Make a truth table for each of the following...Ch. 1.1 - If P, Q, and R are true while S and K are false,...Ch. 1.1 - Use truth tables to verify each part of Theorem...Ch. 1.1 - Which of the following pairs of propositional...Ch. 1.1 - Determine the propositional form and truth value...Ch. 1.1 - Suppose P, Q, and R are propositional forms....Ch. 1.1 - Suppose P, Q, S, and R are propositional forms, P...Ch. 1.1 - Use a truth table to determine whether each of the...

To prove: if k is not equal to − 6, then L does not have slope 1 3 .

Solution Summary: The author explains how to prove that L is not parallel to the x-axis.

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To prove: if k is not equal to − 6, then L does not have slope 13 .

To prove: for every real number k , line L is not parallel to the x- axis.

To prove: Prove that there is a unique real number k such that L passes through (1, 4).

To prove: Prove that the x -intercept of L is less than k if and only if k is negative.

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Chapter 1 Solutions