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 $42,000 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 = at (x, y) =
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 $42,000 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 = at (x, y) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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 $42,000 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?
(c) Find the range of values that Requirement 1 for deluxe cabins can assume. (Requirement 1 pertains to the deluxe cabin requirement.)
(d) Find the shadow price for Requirement 1 for deluxe cabins. (Round your answer to the nearest cent.)
$
The minimum is C = at
(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.(x, y) =
.
≤ c ≤
(c) Find the range of values that Requirement 1 for deluxe cabins can assume. (Requirement 1 pertains to the deluxe cabin requirement.)
≤ (Requirement 1) ≤
(d) Find the shadow price for Requirement 1 for deluxe cabins. (Round your answer to the nearest cent.)
$
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