Part d only
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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Question
Part d only
![Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: a type A, x, vessel has 60 deluxe cabins and 160 standard cabins, whereas a type B vessel, y, has 80 deluxe
cabins and 120 standard cabins. Under a charter agreement with the Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 680 standard cabins for
their 15-day cruise in May. It costs $70,000 to operate a type A vessel and $54,000 to operate a type B vessel for that period.
(a) How many of each type of vessel should be used to keep the operating costs C to a minimum?
The minimum is C-302000
✓at (x,y)-(2,3
(b) Suppose C cx + 54,000y. Find the range of values that the cost of operating a type A vessel, the coefficient c of x, can assume without changing the optimal solution.
40500
✓scs 72000
(c) Find the range of values that Requirement 1 for deluxe cabins can assume. (Requirement 1 pertains to the deluxe cabin requirement.)
266
✓s (Requirement 1) s 13603
(d) Find the shadow price for Requirement 1 for deluxe cabins. (Round your answer to the nearest cent.)
Enter a number](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec93f814-cc25-4bc8-b3df-3049c7681262%2F147b8034-e820-4023-8c11-08b6e3da758c%2Fndt359e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: a type A, x, vessel has 60 deluxe cabins and 160 standard cabins, whereas a type B vessel, y, has 80 deluxe
cabins and 120 standard cabins. Under a charter agreement with the Odyssey Travel Agency, Deluxe River Cruises is to provide Odyssey with a minimum of 360 deluxe and 680 standard cabins for
their 15-day cruise in May. It costs $70,000 to operate a type A vessel and $54,000 to operate a type B vessel for that period.
(a) How many of each type of vessel should be used to keep the operating costs C to a minimum?
The minimum is C-302000
✓at (x,y)-(2,3
(b) Suppose C cx + 54,000y. Find the range of values that the cost of operating a type A vessel, the coefficient c of x, can assume without changing the optimal solution.
40500
✓scs 72000
(c) Find the range of values that Requirement 1 for deluxe cabins can assume. (Requirement 1 pertains to the deluxe cabin requirement.)
266
✓s (Requirement 1) s 13603
(d) Find the shadow price for Requirement 1 for deluxe cabins. (Round your answer to the nearest cent.)
Enter a number
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