The following table shows the unit shipping cost between cities, the supply at each source city, and the demand at each destination city. The Management Scientist solution is shown. Report the optimal solution.

Destination

Source

Terre Haute

Indianapolis

Ft$.$ Wayne

South Bend

Supply

St$.$ Louis

$8$

$6$

$12$

$9$

$100$

Evansville

$5$

$5$

$10$

$8$

$100$

Bloomington

$3$

$2$

$9$

$10$

$100$

Demand

$150$

$60$

$45$

$45$

TRANSPORTATION PROBLEM

$*****************************$

OBJECTIVE: MINIMIZATION

SUMMARY OF ORIGIN SUPPLIES

$********************************$

ORIGIN

SUPPLY

$----------$

$-----------$

$1$

$100$

$2$

$100$

$3$

$100$

SUMMARY OF DESTINATION DEMANDS

$***************************************$

DESTINATION

DEMAND

$-------------------$

$-------------$

$1$

$150$

$2$

$60$

$3$

$45$

$4$

$45$

SUMMARY OF UNIT COST OR REVENUE DATA

$*********************************************$

FROM

TO DESTINATION

ORIGIN

$1$

$2$

$3$

$4$

$----------$

$-----$

$-----$

$-----$

$-----$

$1$

$8$

$6$

$12$

$9$

$2$

$5$

$5$

$10$

$8$

$3$

$3$

$2$

$9$

$10$

OPTIMAL TRANSPORTATION SCHEDULE

$****************************************$

SHIP

FROM

TO DESTINATION

ORIGIN

$1$

$2$

$3$

$4$

$----------$

$-----$

$-----$

$-----$

$-----$

$1$

$0$

$10$

$45$

$45$

$2$

$100$

$0$

$0$

$0$

$3$

$50$

$50$

$0$

$0$

TOTAL TRANSPORTATION COST OR REVENUE IS $1755$