A business college graduate is considering opening a small, specialized trucking firm. To make the firm profitable, it must have a daily trucking capacity of at least 100,800 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 49 potential drivers available, and there are facilities for at most 47 trucks. The graduate's objective is to minimize the total cost outlay for trucks. Capacity (cu. ft.) Drivers Needed Truck Cost Small 18,000 Large 45,000 2,400 6,000

A business college graduate is considering opening a small, specialized trucking firm. To make the firm profitable, it must have a daily trucking capacity of at least 100,800 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 49 potential drivers available, and there are facilities for at most 47 trucks. The graduate's objective is to minimize the total cost outlay for trucks. Capacity (cu. ft.) Drivers Needed Truck Cost Small 18,000 Large 45,000 2,400 6,000

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A business college graduate is considering opening a small, specialized trucking firm. To make the firm profitable, it must have a daily trucking capacity of
at least 100,800 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 49 potential drivers available, and there are facilities for at most 47 trucks.
The graduate's objective is to minimize the total cost outlay for trucks.
Truck Cost Capacity (cu. ft.)
Drivers Needed
Small 18,000
Large 45,000
2,400
6,000
1
3

(a) Which optimal solution uses only one type of truck?
(small, large)
1)
(b) Which optimal solution utilizes the minimum total number of trucks?
(small, large) =
(c) Which optimal solution uses the same number of small and large trucks?
(small, large) =

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