Linear programming

A manufacturer of refrigerators must ship at least 100 refrigerators to its two West Coast warehouses. Each warehouse holds a maximum of 100 refrigerators. Warehouse A holds 25 refrigerators already, and warehouse B has 20 on hand. It costs $12 to ship a refrigerator to warehouse A and $10 to ship one to warehouse B. Union rules require that at least 300 workers be hired. Shipping a refrigerator to warehouse A requires 4 workers, while shipping a refrigerator to warehouse B requires 2 workers. How many refrigerators should be shipped to each warehouse to minimize costs? What is the minimum cost?

Use graphical methods to solve the linear programming problem

Use graphical methods to solve the linear programming problem (attached)

Working with conditional probability.

The following table shows frequencies for red-green color blindness, where M represents "person is male" and C represents "person is color-blind." Use this table to find the following probabilities. ------------- M---------M'------- totals C----------0.035-----0.004------0.039 C'----------0.452-----0.509------0.961 Totals----0.487------0.513------1.000 Find a) P(M/C) b) P(M'/C)

Probabilities from proportion tables

the following tables give the proportions of men and women in the U S population, and the proportions of men and women who have never married, in a recent year. men age proportion in population proportion never married 18-24 0.133 0.874 25-34 0.205 0.397 35-44 0.232 0.187 45-64 0.287 0.075 65 or over 0.142 0.038 women age proportion in population proportion never married 18-24 0.123 0.775 25-34 0.194 0.298 35-44 0.219 0.121 45-64 0.284 0.062 65 or over 0.181 0.047 Find the probability that a randomly selected man who has never married is between 35 and 44 years old (inclusive) Find the probability that a randomly selected woman who has ... click for more

Understanding permutation notation.

What does P(n, n) mean?