$3-23.$ CVP ANALYSIS, CHANGING REVENUES AND COSTS. Sunset Travel Agency specializes in flights between Toronto and Jamaica. It books passengers on Hamilton Air. Sunset$$s fixed costs are $$23,500$ per month. Hamilton Air charges passengers $$1,500$ per round$-$trip ticket.

Calculate the number of tickets Sunset 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.

Required

Sunset$$s variable costs are $$43$ per ticket. Hamilton Air pays Sunset $6\%$ commission on ticket prices.

Sunset$$s variable costs are $$40$ per ticket. Hamilton Air pays Sunset $6\%$ commission on ticket prices.

Sunset$$s variable costs are $$40$ per ticket. Hamilton Air pays $$60$ fixed commission per ticket to Sunset. Comment on the results.

Sunset$$s variable costs are $$40$ per ticket. It receives $$60$ commission per ticket from Hamilton Air. It charges its customers a delivery fee of $$5$ per ticket. Comment on the results.