Mary wants to buy an apartment to start an Airbnb business. She wants to pay her mortgage of $$2,000$ a month from the income. She figured that she could rent the apartment for $20$ days a month for $$150$ per day, and her variable costs are estimated to be $$50$ per rental. How many days does she need to rent the apartment out in a month to make some profit? How much profit can she expect in a month? How can she increase her profit margin? Does it sound like a feasible plan? Justify your answers using CM$,$ CVP & BEP analysis for this problem to come up with a piece of good advice$/$suggestions for Mary.