Case 7 (LP Formulation)

There are three factories producing bath tubs have capacities as follows

• Des Monies 100 tubs per day
• Evansville 300 tubs per day
• Fort Lauderdale 300 tubs per day

These tubs need to be shipped to three warehouses whose demands are as follows

• Albuquerque 300 tubs per day
• Boston 200 tubs per day
• Cleveland 200 tubs per day

Cost of shipping one tub from each factory to each warehouse are as follows

Des Monies to Albuquerque $5, Evansville to Albuquerque $8, Fort Lauderdale to Albuquerque $9

Des Monies to Boston $4, Evansville to Boston $4, Fort Lauderdale to Boston $7

Des Monies to Cleveland $3, Evansville to Cleveland $3, Fort Lauderdale to Cleveland $5

The problem is to determine how much each factory needs to ship to each warehouse so that the demands are met within the capacity limits and the total costs are minimum

Write the LP formulation for the above problem