Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: a type A, x, vessci has 60 deluxe cabins and 16C 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 $58,000 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) = 1 (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. scs (c) Find the range of values that Requirement 1 for deluxe cabins can assume. (Requirement 1 pertains to the deluxe cabin requirement.) s (Requirement 1) s (d) Find the shadow price for Requirement 1 for d
Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: a type A, x, vessci has 60 deluxe cabins and 16C 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 $58,000 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) = 1 (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. scs (c) Find the range of values that Requirement 1 for deluxe cabins can assume. (Requirement 1 pertains to the deluxe cabin requirement.) s (Requirement 1) s (d) Find the shadow price for Requirement 1 for d
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:EY
Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: a type A, x, vessei 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 $58,000 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 =
(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.
≤CM
(c) Find the range of values that Requirement 1 for deluxe cabins can assume. (Requirement 1 pertains to the deluxe cabin requirement.)
< (Requirement 1) ≤
at (x, y) =
(d) Find the shadow price for Requirement 1 for deluxe cabins. (Round your answer to the nearest cent.)
$
Need Help?
Read It
Watch It
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

