Question: The cost of processing the rock is $22 per ton at Plant 1 and $18 per ton at Plant 2.
a) Formulate a linear program to minimize the total processing and transportation cost.
b) Define the decision variables.
c) What are the constraints?
d) What is the objective function?
e) What is the optimal solution?
Cost per Ton for Shipping:
From Mine #1 #2 Daily Supply
A $6 $8 320 tons
B $7 $10 450 tons
Processing capacity per day 500 tons 500 tons
The cost of shipping from each plant to each store and the daily demand are as follows:
Cost per Ton for Shipping
From Plant Builders'Home Homeowners HQ Hardware City
#1 $13 $17 $20
#2 $19 $22 $21
Daily Demand 200 240 330