(a) To find: Solve the logistic equation for p N + 1 and tell if it is a problem.

Question

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Answer 1

Question

Chapter 9, Problem 75E

To determine

(a)

To find:

Solve the logistic equation for pN+1 and tell if it is a problem.

To determine

(b)

To explain:

The prediction of logistic equation for future generations if pN=0.5 and R=4.

To determine

(c)

To find:

The largest possible value of (1−p)p.

To determine

(d)

To explain:

The reason that if 0<p0<1 and 0<r<4, then 0<pN<1, for every positive integer N.

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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.

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.

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

Answer 2

Question

Chapter 9, Problem 75E

To determine

(a)

To find:

Solve the logistic equation for pN+1 and tell if it is a problem.

To determine

(b)

To explain:

The prediction of logistic equation for future generations if pN=0.5 and R=4.

To determine

(c)

To find:

The largest possible value of (1−p)p.

To determine

(d)

To explain:

The reason that if 0<p0<1 and 0<r<4, then 0<pN<1, for every positive integer N.

Expert Solution & Answer

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Answer 3

Question

Chapter 9, Problem 75E

To determine

(a)

To find:

Solve the logistic equation for pN+1 and tell if it is a problem.

To determine

(b)

To explain:

The prediction of logistic equation for future generations if pN=0.5 and R=4.

To determine

(c)

To find:

The largest possible value of (1−p)p.

To determine

(d)

To explain:

The reason that if 0<p0<1 and 0<r<4, then 0<pN<1, for every positive integer N.

Expert Solution & Answer

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Answer 4

Question

Chapter 9, Problem 75E

To determine

(a)

To find:

Solve the logistic equation for pN+1 and tell if it is a problem.

To determine

(b)

To explain:

The prediction of logistic equation for future generations if pN=0.5 and R=4.

To determine

(c)

To find:

The largest possible value of (1−p)p.

To determine

(d)

To explain:

The reason that if 0<p0<1 and 0<r<4, then 0<pN<1, for every positive integer N.

Expert Solution & Answer

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Answer 5

Chapter 9, Problem 75E

To determine

(a)

To find:

Solve the logistic equation for pN+1 and tell if it is a problem.

To determine

(b)

To explain:

The prediction of logistic equation for future generations if pN=0.5 and R=4.

To determine

(c)

To find:

The largest possible value of (1−p)p.

To determine

(d)

To explain:

The reason that if 0<p0<1 and 0<r<4, then 0<pN<1, for every positive integer N.

Answer 6

Chapter 9, Problem 75E

To determine

(a)

To find:

Solve the logistic equation for pN+1 and tell if it is a problem.

Answer 7

Chapter 9, Problem 75E

To determine

(a)

To find:

Solve the logistic equation for pN+1 and tell if it is a problem.

Answer 8

To determine

(b)

To explain:

The prediction of logistic equation for future generations if pN=0.5 and R=4.

Answer 9

To determine

(b)

To explain:

The prediction of logistic equation for future generations if pN=0.5 and R=4.

Answer 10

To determine

(c)

To find:

The largest possible value of (1−p)p.

Answer 11

To determine

(c)

To find:

The largest possible value of (1−p)p.

Answer 12

To determine

(d)

To explain:

The reason that if 0<p0<1 and 0<r<4, then 0<pN<1, for every positive integer N.

Answer 13

To determine

(d)

To explain:

The reason that if 0<p0<1 and 0<r<4, then 0<pN<1, for every positive integer N.

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

(a) To find: Solve the logistic equation for p N + 1 and tell if it is a problem.

Solution Summary: The author solves the logistic equation for p_N+1 and tells if it is a problem.

Concept explainers

Videos

(a)

To find:

Solve the logistic equation for pN+1 and tell if it is a problem.

(b)

To explain:

The prediction of logistic equation for future generations if pN=0.5 and R=4.

(c)

To find:

The largest possible value of (1−p)p.

(d)

To explain:

The reason that if 0<p0<1 and 0<r<4, then 0<pN<1, for every positive integer N.

Want to see the full answer?

Chapter 9 Solutions

(a) To find: Solve the logistic equation for p N + 1 and tell if it is a problem.

Solution Summary: The author solves the logistic equation for p_N+1 and tells if it is a problem.

Concept explainers

Videos

(a) To find: Solve the logistic equation for pN+1 and tell if it is a problem.

(b) To explain: The prediction of logistic equation for future generations if pN=0.5 and R=4.

(c) To find: The largest possible value of (1−p)p.

(d) To explain: The reason that if 0<p0<1 and 0<r<4, then 0<pN<1, for every positive integer N.

Want to see the full answer?

Chapter 9 Solutions

(a)

To find:

Solve the logistic equation for pN+1 and tell if it is a problem.

(b)

To explain:

The prediction of logistic equation for future generations if pN=0.5 and R=4.

(c)

To find:

The largest possible value of (1−p)p.

(d)

To explain:

The reason that if 0<p0<1 and 0<r<4, then 0<pN<1, for every positive integer N.