The manager of Arbor, Incorporated, is considering raising its current price of $$41$ per unit by $10\%.$ If she does so$,$ she estimates that demand will decrease by $22,500$ units per month. Arbor currently sells $90,000$ units per month, each of which costs $$23$ in variable costs. Fixed costs are $$1,120,000.$

Required:

What is the current profit?

What is the current break$-$even point in units?

If the manager raises the price, what will profit be$?$

If the manager raises the price, what will be the new break$-$even point in units?

Assume the manager does not know how much demand will drop if the price increases. By how much would demand have to drop before the manager would not want to implement the price increase?