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Part d only

Part d only

Practical Management Science
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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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
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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