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
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Author:WINSTON, Wayne L.
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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
Transcribed Image Text: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) =
Transcribed Image Text:(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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