Super Cruiseline offers nightly dinner cruises departing from several cities on the eastern coast of the United States including Charleston, Baltimore, and Alexandria. Dinner cruise tickets sell for $$50$ per passenger. Super Cruiseline's variable cost of providing the dinner is $$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 $15,000$ monthly passengers. The breakeven sales are $7,000$ tickets sold.

a$.$ Compute the operating leverage factor when Super Cruiseline sells $8,750$ dinner cruises.

b$.$ If volume increases by $6\%,$ by what percentage will operating income increase?

c$.$ If volume decreases by $3\%,$ by what percentage will operating income decrease?

a$.$ Compute the operating leverage factor when Super Cruiseline sells $8,750$ dinner cruises. $($Round your answer to one decimal place.$)$

First, identify the formula, then compute the operating leverage factor.

b$.$ If volume increases by $6\%,$ by what percentage will operating income increase? $($Round the percentage to the nearest whole percent.$)$

The percentage that operating income will increase is $\%.$

c$.$ If volume decreases by $3\%,$ by what percentage will operating income decrease? $($Round the percentage to the nearest whole percent.$)$

The percentage that operating income will decrease is

$\%.$