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 700 deluxe and 1,400 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.
How many of each type of vessel should be used in order to keep the operating costs to a minimum? __________ __________
Find the range of values that the cost of operating a type-A vessel can assume without changing the optimal solution.
$ $
Find the range of values that the requirement for deluxe cabins can assume.
≤ deluxe cabins ≤
Find the shadow price for the requirement for deluxe cabins.
Shadow price _{deluxe cabins} $__________

Question

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 700 deluxe and 1,400 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.
How many of each type of vessel should be used in order to keep the operating costs to a minimum?

__________

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

$
Find the range of values that the requirement for deluxe cabins can assume.
≤ deluxe cabins ≤
Find the shadow price for the requirement for deluxe cabins.
Shadow price _{deluxe cabins} $__________

Quizplus · Accepted Answer

The Answer of 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 700 deluxe and 1,400 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. How many of each type of vessel should be used in order to keep the operating costs to a minimum? __________ __________ Find the range of values that the cost of operating a type-A vessel can assume without changing the optimal solution. $ $ Find the range of values that the requirement for deluxe cabins can assume. ≤ deluxe cabins ≤ Find the shadow price for the requirement for deluxe cabins. Shadow price _{deluxe cabins} $__________

Deluxe River Cruises Operates a Fleet of River Vessels