**Modeling Activity (2017)**

Prepared by:

Joseph Malkevitch

Department of Mathematics

York College (CUNY)

Jamaica, New York 11451

email:

__malkevitch@york.cuny.edu__

web page:

__http://york.cuny.edu/~malk__

**
**Suppose there are bakeries which can supply breads to stores that are part of a supermarket chain. There are three bakeries I, II, and III and three stores 1, 2, 3. The bakeries can produce 8, 1, and 2 breads respectively, while the stores require 3, 7, and 1 bread respectively. (The numbers are given in dozens of breads but shipments must be in whole numbers of dozens of breads.)

There is a different cost (costs are given in cents per dozen breads) for shipping from each bakery to each store as shown in the table below:

Stores | 1 | 2 | 3 | |

Bakeries | ||||

I | 8 | 9 | 3 | |

II | 15 | 1 | 12 | |

III | 1 | 3 | 5 |

How can the supplies at the bakeries be used to meet the demands so that the breads that are supplied can be shipped in a way such that total shipping cost is as small as possible?