Costco is running a member$-$only sales program for Carnival cruise vacation. There are totally $600$ cabins on the cruise ship. Fixed cost is $$15,000($includes fuel cost for roundtrip, salary for crews and staff, etc$).$ Variable cost per cabin is $$200$ per room per round trip $($includes utility cost, food cost, room service, etc$)$

If you charge customers $$500$ per cabin, what is the breakeven point? $($That is$,$ how many cabins must be sold for the program to break even?$)$

Costco has another optional program to sell for Crown Cruise vacation. The fixed cost for Crown Cruise is $$18000$ per round trip, and the variable cost is $$220$ per cabin. You will, however, be able to charge $$570$ per cabin. At what point will you be indifferent between Carnival and Crown?

For Carnival Cruise, if the demand for cabins depends on the price as follows: Demand $(D)=2000-5^{***}p$; where $"p"$ is the price charged to the customers. What price would recommend charging for a cabin?

Based on your suggestion of price from the previous question $($Q$3),$ would the cruise be full? At the suggested price, what would be the demand and what would be the profit for Costco?

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