the requirement for gold. 14. MINIMIZING CRUISE LINE COsts Deluxe River Cruises operates o fleet of river vessels. The fleet has two types of vessels: A type A vessel has 60 deluxe cabins and 160 standard cabins, whereas a type B vessel has 80 deluxe cabins and MMA 3.4 SENSITIVITY ANALYSIS 219 120 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 $44,000 to operate a type A vessel and $54,000 to operate a type vessel for that period. a. How many of each type of vessel should be used to keep the operating costs to a minimum? b. Find the range of values that the cost of operating a type A vessel can assume without changing the opti- pany profit of duct A е П. on - of able on uced mal solution. c. Find the range of values that the requirement for deluxe cabins can assume. the d. Find the shadow price for the requirement for deluxe ted cabins. e. 15. PRODUCTION SCHEDULING Soundex produces two models of satellite radios. Model A requires 15 min of work on with Assembly Line I and 10 min of work on Assembly Line II. Model B requires 10 min of work on Assembly Line I and 12 min of work on Assembly Line II. At most 25 hr and

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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Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type A vessel has 60 deluxe cabins and 160 standard cabins, whereas a type B vessel 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 $44,000 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 to a minimum?

b. Find the range of values that the cost of operating a type A vessel can assume without changing the optimal solution.

c. Find the range of values that the requirement for deluxe cabins can assume.

d.Find the shadow price for the requirement for deluxe cabin.

the requirement for gold.
14. MINIMIZING CRUISE LINE COsts Deluxe River Cruises operates
o fleet of river vessels. The fleet has two types of vessels:
A type A vessel has 60 deluxe cabins and 160 standard
cabins, whereas a type B vessel has 80 deluxe cabins and

MMA 3.4 SENSITIVITY ANALYSIS
219
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 $44,000 to
operate a type A vessel and $54,000 to operate a type
vessel for that period.
a. How many of each type of vessel should be used to
keep the operating costs to a minimum?
b. Find the range of values that the cost of operating a
type A vessel can assume without changing the opti-
pany
profit of
duct A
е П.
on
- of
able on
uced
mal solution.
c. Find the range of values that the requirement for
deluxe cabins can assume.
the
d. Find the shadow price for the requirement for deluxe
ted
cabins.
e.
15. PRODUCTION SCHEDULING Soundex produces two models
of satellite radios. Model A requires 15 min of work on
with
Assembly Line I and 10 min of work on Assembly Line II.
Model B requires 10 min of work on Assembly Line I
and 12 min of work on Assembly Line II. At most 25 hr
and

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