$37.$ Multiple$-$Product Break$-$Even Analysis Currently, Corner Lunch Counter sells only Super Burgers for $\backslash (\backslash$$ $5\mathrm{.}50\backslash )$ each. During a typical month, the Counter reports a profit of $\backslash (\backslash$$ $12,125\backslash )$ with sales of $\backslash (\backslash$$ $68,750\backslash )$ and fixed costs of $\backslash (\backslash$$ $36,000\backslash ).$ Management is considering the introduction of a new Super Chicken Sandwich that will sell for $\backslash (\backslash$$ $7\mathrm{.}00\backslash )$ and have variable costs of $\backslash (\backslash$$ $2\mathrm{.}50\backslash ).$ The addition of the Super Chicken Sandwich will require hiring additional personnel and renting additional equipment. These actions will increase monthly fixed costs by $\backslash (\backslash$$ $5,400\backslash ).$ In the short run, management predicts that Super Chicken sales will average $7,500$ sandwiches per month. However, almost all short$-$run sales of Super Chickens will come from regular customers who switch from Super Burgers to Super Chickens. Consequently, management predicts monthly sales revenue from Super Burgers will decline $\backslash (\backslash$$ $27,500\backslash )(5,000$ units$).$ In the long run, management predicts that Super Chicken sales will increase to $9,000$ sandwiches per month and that Super Burger sales will increase to $16,000$ burgers per month. Required a$.$ Determine each of the following: $1.$ The current monthly break$-$even point in sales dollars. $2.$ The short$-$run monthly profit and break$-$even point in sales dollars subsequent to the introduction of Super Chickens. $3.$ The long$-$run monthly profit and break$-$even point in sales dollars subsequent to the introduction of Super Chickens. b$.$ Based on your analysis, what are your recommendations?