3.(20 points) The manager of the Hospitality Inn has developed regression analysis equations for forecasting the hotel's dining room sales volume based on the hotel's anticipated guest-night count. The monthly equations (where Y equals the forecast number of meals to be served, and X equals the number of hotel guests) follow: Breakfast Y= 500 + 0.75 X Lunch Y= 600 + 1.25 X Dinner Y= 1000 + 0.8 X The hotel has 150 rooms. Its occupancy in June is expected to be 80% and its double occupancy rate is 60%. The average meal checks follow: Breakfast $ 7.25 $12.45 Dinner $17.00 Lunch a. Calculate the dining room's forecasted numbers of meal sales for each period. b. calculate total revenue dollars, for the month of June.