Mathematics Homework Solutions

Intermediate Node Constraint

In setting up the an intermediate (transshipment) node constraint, assume that there sources, two intermediate nodes, and two destinations, and travel is possible between all sources and the intermediate nodes and between all intermediate nodes and all destinations for a given transshipment problem. In addition, assume that no t ...continues

Assignment Problems

In an assignment problem, one agent can do parts of several tasks. each agent is assigned to it own best task. one task can be done by several agents. none of these.

Linearity of Transformations; Basis and Dimensions for Four Subspaces

Please see the attached file for the fully formatted problems.

Linear Programming : Maximizing Profit

A large sporting goods store is placing an order for bicycles with its supplier. Four models can be ordered: the adult Open Trail, the adult Cityscape, the girl's Sea Sprite, and the boy's Trail bBlazer. It is assumed that every bike ordered will be sould, and their profits, respectively, are 30, 25, 22, and 20. The LP model sho ...continues

The following data summarizes the historical demand for a product.

Month Actual demand March 20 April 25 May 40 June 35 July 30 August 45 Use a four period moving average and determine the forecasted demand for September.

What is the probability that 2 boats arrive?

During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour, in a 2-hour period, What is the probability that 2 boats arrive? Answer in the form 0.xxxx or.xxxx

A researcher wants to simulate sunny and rainy days in her town for a 3-week period.

A researcher wants to simulate sunny and rainy days in her town for a 3-week period. What is the minimum number of digits the student must obtain from a random number table for each observation if it rained on two-fifths of the days over the past several years at this time of the year? Assume that days can be classified historic ...continues

Linear Programming : Optimal Solution

Max Z = 3x1 + 5x2 Subject to: 7x1 + 12x2 <=136 3x1 + 5x2 <+ 36 x1, x2 >= 0 and integer Find the optimal solution. Answer in the form of a solution for Z= enter xx only

Expected value of perfect information

The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers. He estimates that net revenues will vary with how well taxpayers comply with the new tax code. low medium high # of workers compliance compliance compliance 1 50 50 50 2 100 60 20 3 150 70 -10 If he thinks the chances o ...continues

A constraint with a positive slack value a) will have a positive dual price, b) will have a negative dual price, c) will have a dual price of zero, d) has no restrictions for its dual price

A constraint with a positive slack value will have a positive dual price will have a negative dual price will have a dual price of zero has no restrictions for its dual price

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