Mathematics Homework Solutions

Markov Chain

Please see the attached file for the fully formatted problems. At the beginning of each year, my car in good, fair, or broken-down condition. A good car will good at the beginning of the next year with the probability 0.85; fair with the probability 0.10; or broken-down quality with a probability of 0.05. A fair car will be ...continues

Simplex Method: Maximize & minimize

Please see the attached file for full problem description. Maximize Minimize P=100x1 + 200x2 + 50x3 C=5x1 + 4x2 + 3x3 Subject to the constraints Subject to the constraints 5x1 + 5x2 + 10x3 < 1000 x1 + x2 + x3 > 100 10x1 + 8x2 + 5x3 < 2000 2x1 + x2 > 50 10x1 + 5x2 < 500 ...continues

Insurance

Please see attached document. If an individual with initial wealth w that is facing a random risk X that takes values è with probability p and value zero with probability 1 - p. If the individual does not take insurance, his wealth will be w - X. If he takes insurance, his wealth will be w - a, where a is the insurance pre ...continues

stochastic

Please see attached.

Domination of security

Please see attached

Utility

Please see attached.

Classic operation research problems

Basic operation research problem proof (Suppose x solves the problem....Let p,q be random variables with expected (mean) values etc) See attachment for details

Linear Programming Formulation Problems

Linear Programming Formulation Problems

Classical transportation problems (sources and destinations)

The problem is posted in the attachment. Thank you. Transportation Problem Set 1. Consider a transportation problem with 4 sources and 3 demand points. (a) Write the min-cost model in full (without using ∑ notation). (b) Draw the network. (c) Construct the standard data table. 2. Consider a transportation prob ...continues

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