Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A...

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Deluxe River Cruises operates a fleet of river vessels. Thefleet has two types of
vessels: A type A vessel has 60 deluxe cabins and 160 standardcabins, whereas a type B vessel has 80 deluxe
cabins and 120 standard cabins. Under a charter agreement withthe Odyssey Travel Agency, Deluxe River
Cruise sis to provide Odyssey with a minimum of 360 deluxe and680 standard cabins for their 15-day cruise
in May. It costs $44000 to operate a type A vessel and $54000 tooperate a type B vessel for that period.
i.) How many of each type of vessel should be used to keep theoperating costs to a minimum?
ii.) Find the range of values that the cost of operating a typeA vessel can assume without changing the
optimal solution.
iii.) Find the range of values that the requirement for deluxecabins can assume.
iv.) Find the shadow price for the requirement for deluxecabins.

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4.1 Ratings (532 Votes)

Let the Deluxe River Cruises provides of type A fleet andof type A fleet to OdysseyType AType BAvailableDelux6080360Satndard160120680Cost4400054000The objective of the problem is to minimize the total cost Theobjective function is defined asThe constraints of the problem areDeluxe cabin constraintStandard cabin constraintand the non negativity constraints areThe LP is formulated assubject toNow the LP is solved using the excel solver by See Answer

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