In an assignment problem...

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.

Linear Transformations; Bases and dimensions

Please help me with the following two problems, especially the one involving linear transformations. The professor wants us to prove whether the particular transformation is linear or not. If it is linear he wants us to prove it by showing that scalar multiplication and addition is preserved as well as T(0) = 0. If the transformation is not linear, then I guess we have to disprove it by example. I am only sure how to do the last one but cannot prove the others. This is due on Friday morning so I will need it by Thursday evening unless I figure it out. The two problems are attached. Thanks in advance The questions are not related. They are from different sections and just happened ... click for more

Formulate a model for this problem...solve your model with any computer package available to you.

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 should maximize profit. There are several conditions that the store needs to worry about. One of these is space to hold the inventory. The adult bikes need two feet, but each children's bike needs only one foot. The store has 500 feet of space. There are 1200 hours of assembly time available. The children's bikes need 4 hours each; the Open Trail needs 5 hours and the Ci... click for more

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