Construct a matrix and use minimization method to solve.

A manufacturing company has three assembly plants: A, B, and C. It has two

distributions outlets: Denver and Omaha. Plant A can assemble at most 700

units per month. Plant B can assemble at most 900 units per month. Plant C

can assemble at most 800 units per month. Per unit shipping costs between

assembly plants and distribution outlets are as follows: Plant A: $6 to

Denver and $5 to Omaha; Plant B: $4 to Denver and $8 to Omaha; Plant C:

$2 to Denver and $5 to Omaha. To meet current demand, the Denver outlet

must have at least 1000 units per month and the Omaha outlet must have

at least 1400 units per month. How many units should be shipped from

each assembly plan to each distribution outlet in order to minimize the

shipping cost, and what is the minimum cost?