On the same day that the sales department at Duffin House received an order for 600 packages

from the OHaganBooks.com Texas headquarters, it received an additional order for 200 packages

from FantasyBooks.com, based in California. Duffin House has warehouses in New York and Illiniois.

The New York warehouse has 600 packages in stock, but the Illinois warehouse is closing down and

has only 300 packages in stock. Shipping costs per package of books are as follows: New York to

Texas: $20; New York to California: $50, Illinois to Texas: $30 and Illinois to California: $40. What

is the lowest toal shipping cost for which Duffin House can fill the orders? How many packages

should be sent from each warehouse to each online bookstore at a minimum shipping cost? Use the

Simplex Method to solve this.

Hints: Let x=packages from New York to O'Hagan, y=packages from New York to Fantasy, z=packages

from Illinois to O'Hagan and w=packages from Illinois to Fantasy. The objective function is a cost

function. There are four constraints, each with 2 variables (two are greater than and two are less than).

You should be able to find the answer in five tables.

COMMENT: it's simplex method , General Linear Programming Problems