Formulate a linear program

Reference no: EM13189624

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 rosk is then shipped to one of three builder's supply stores, where it is sold for landscaping purposes. The cost of transportation, the supply available at the mine, and the processing capacity of each plant are given in the following table:

Cost per ton for shipping
from mine to processing plant
#1 #2 Daily Supply
A $6 $8 320 tons
B $7 $10 450 tons
Processing capacity 500 tons 500 tons

The cost of shipping from each processing plant to each store and the daily demand are as follows:
To
From Plant Builders' Homeowner's Hardware
Home HQ 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 demand fo the three stores at the least cost.

b) solve th 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?

Reference no: EM13189624

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