Trucken, a transport company, owns 60 trucks. Earthworks are transported by these trucks. Trucken pays each driver
Question:
Trucken, a transport company, owns 60 trucks. Earthworks are transported by these trucks. Trucken pays each driver 2000 euros per trip. In addition, there are 3 different companies. Trucken wants to rent truck from these companies. Trucks can be rented from these companies and Trucken wants to hire trucks from these companies. The names of these companies are E, T, and S respectively. The trucks owned by these companies are 50, 40, and 30, respectively. Each company puts its own profits per truck.
Number Of Trucks | Driver’s cost(€) | Company Profit | TOTAL COST for Each Truck | |
E | 50 | 2000 | 100 | 2100 |
T | 40 | 2000 | 150 | 2150 |
S | 30 | 2000 | 200 | 2200 |
There are constructions in 4 different regions in this city.
Constructions Regions | Numbers of Constructions | Gas Cost for Trucks(€) |
North | 80 | 50 |
East | 60 | 60 |
South | 50 | 40 |
West | 50 | 55 |
Trucken earns an average of 2500 € per transport.
There are some constraints.
Constraint 1: Trucken has to send at least 10 trucks to each region.
Constraint 2: Trucken has to go to a minimum of 40% of construction in the southern region.
Constraint 3: Trucken cannot hold more than 150 trucks.
Constraint 4: Company S, if the truck is to be rented by this company, demands that Trucken have to rent a minimum of 50% of the trucks in Company S possession.
Constraint 5: Company T cannot deliver more than 30 trucks.
Constraint 6: Company E requests a minimum of 10% truck rental from other companies if trucks are to be rented from this company.
What is the maximum profit of Trucken?
Introduction to Management Science A Modeling and Cases Studies Approach with Spreadsheets
ISBN: 978-0078024061
5th edition
Authors: Frederick S. Hillier, Mark S. Hillier