Transshipment Problem, Linear Programming for StatSolver

Bamm Mining.docx

Bamm Mining Company is currently extracting rock from two mines. Once it is taken from the ground and loaded on a truck, it is sent to one of two plants for processing. The processed rock is then shipped to one of tree builders’ supply stores, where it is sold for landscaping purposes. The cost of transportation, the supply available at each mine and the processing capacity of each plant are given in the following table: Cost per Ton for shipping To Processing Plant :______________ From Mine #1 #2 Daily Supply  A $6 $8 320 tons B $7 $10 450 tons Processing capacity 500 tons 500 tons  (Per day) 

The cost of shipping from each processing plant to each store and the daily demand are as follows: Cost Ton for shipping To: _________________________________________ Builders’ Homeowners’ Hardware From Plant Home Headquarters City #1 $13 $17 $20 #2 $19 $22 $21 Daily demand 200 240 330 a) Formulate a linear program that can be used to determine how to meet the demands of the tree stores at the least coast. b) Solve this by computer. How many tons should be shipped from each mine to each plant? How many tons should go from each plant to each store?