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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 117,600 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 57 potential drivers available, and there are facilities for at most 54 trucks. The graduate's objective is to minimize the total cost outlay for trucks. Truck Cost Capacity (cu. ft.) Drivers Needed Small 18,000 2,400 1 Large 45,000 6,000 3 (a) Which optimal solution uses only one type of truck? (small, large) =               (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) =

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 117,600 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 57 potential drivers available, and there are facilities for at most 54 trucks. The graduate's objective is to minimize the total cost outlay for trucks. Truck Cost Capacity (cu. ft.) Drivers Needed Small 18,000 2,400 1 Large 45,000 6,000 3 (a) Which optimal solution uses only one type of truck? (small, large) =               (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) =

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 58P
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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 117,600 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 57 potential drivers available, and there are facilities for at most 54 trucks. The graduate's objective is to minimize the total cost outlay for trucks.
Truck Cost Capacity (cu. ft.) Drivers Needed
Small 18,000 2,400 1
Large 45,000 6,000 3
(a)
Which optimal solution uses only one type of truck?
(small, large) = 
 
 
 
 
 
 
 
(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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