As a prospective owner of a club known as the Red Rose, you are interested in determining the volume of sales dollars necessary for the coming month to reach the break$-$even point. You have decided to break down the sales for the club into four categories, the first category being beer. Your estimate of the beer sales is that $32,000$ drinks will be served. The selling price for each unit will average $$1\mathrm{.}75$; the cost is $$1\mathrm{.}25.$ The second major category is meals, which you expect to be $8,000$ units with an average price of $$12\mathrm{.}00$ and a cost of $$5\mathrm{.}50.$ The third major category is desserts and wine, of which you also expect to sell $12,000$ units, but with an average price of $$2\mathrm{.}50$ per unit solc and a cost of $$0\mathrm{.}75$ per unit. The final category is lunches and inexpensive sandwiches, which you expect to total $20,000$ units at an average price of $$6\mathrm{.}50$ with a food cost of $$3\mathrm{.}50.$ Your fixed cost $($i$.$e$.,$ rent, utilities, and so on$)$ is $$1,800$ per month plus $$2,000$ per month for entertainment.

a$)$ For Red Rose, the monthly break$-$even point in dollars $=$$ per month $($round your response to two decimal places$).$