A businessman is considering opening a small specialized trucking firm. To make the firm profitable, it must have a daily trucking capacity of at least 84,000 cubic feet. Two types of trucks are appropriate for the specialized operation. Their characteristics and costs are summarized in the table below. Note that truck two requires three drivers for long haul trips. There are 41 potential drivers available, and there are facilities for at most 40 trucks. The businessman's objective is to minimize the total cost outlay for trucks. Capacity Drivers Truck Cost (cu. ft.) Needed Small $18,000 2,400 1 Large $45,000 6,000

A businessman is considering opening a small specialized trucking firm. To make the firm profitable, it must have a daily trucking capacity of at least 84,000 cubic feet. Two types of trucks are appropriate for the specialized operation. Their characteristics and costs are summarized in the table below. Note that truck two requires three drivers for long haul trips. There are 41 potential drivers available, and there are facilities for at most 40 trucks. The businessman's objective is to minimize the total cost outlay for trucks. Capacity Drivers Truck Cost (cu. ft.) Needed Small $18,000 2,400 1 Large $45,000 6,000

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

1. formulate the LP Model;

2. identify the decision variables used in the model;

3. determine the optimal solution using graphical method.

A businessman is considering opening a small specialized trucking firm. To make the firm
profitable, it must have a daily trucking capacity of at least 84,000 cubic feet. Two types of
trucks are appropriate for the specialized operation. Their characteristics and costs are
summarized in the table below. Note that truck two requires three drivers for long haul trips.
There are 41 potential drivers available, and there are facilities for at most 40 trucks. The
businessman's objective is to minimize the total cost outlay for trucks.
Capacity Drivers
Truck
Cost (cu. ft.)
Needed
Small
$18,000
2,400
1
Large
$45,000
6,000

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