Great Cruiseline offers nightly dinner cruises departing from several cities on the East Coast of the United States including Charleston, Baltimore, and Alexandria. Dinner cruise tickets sell for $$50$ per passenger. Great Cruiseline's variable cost of providing the dinner is $$20$ per passenger, and the fixed cost of operating the vessels $($depreciation$,$ salaries, docking fees, and other expenses$)$ is $$210,000$ per month. The company's relevant range extends to $18,000$ monthly passengers.

Use this information to compute the following:

a$.$ What is the contribution margin per passenger?

b$.$ What is the contribution margin ratio?

c$.$ Use the unit contribution margin to project operating income if monthly sales total $15,000$ passengers.

d$.$ Use the contribution margin ratio to project operating income if monthly sales revenue totals $$490,000.$

a$.$ What is the contribution margin per passenger?

First identify the formula, then compute the contribution margin per passenger.

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