Golden Travel Agency specializes in flights between Toronto and Jamaica. It books passengers on Ontario Air. Golden's fixed costs are $$25,500$ per month. Ontario Air charges passengers $$1,400$ per round$-$trip ticket.

Requirement

Calculate the number of tickets Golden must sell each month to $($a$)$ break even and $($b$)$ make a target operating income of $$10,000$ per month in each of the following independent cases. $($Round up to the nearest whole number.

For example, $10\mathrm{.}2$ should be rounded up to $11.)$

Golden's variable costs are $$40$ per ticket. Ontario Air pays Golden $10\%$ commission on ticket price.

Golden's variable costs are $$38$ per ticket. Ontario Air pays Golden $10\%$ commission on ticket price.

Golden's variable costs are $$38$ per ticket. Ontario Air pays $$55$ fixed commission per ticket to Golden. Comment on the results.

Golden's variable costs are $$38$ per ticket. It receives $$55$ commission per ticket from Ontario Air. It charges its customers a delivery fee of $$8$ per ticket. Comment on the results.