Paddy O'Sullivan's new Irish Pub is scheduled to have its grand opening in Saskatoon on March 17th, St. Patrick's Day. Paddy decides to have a private reception on March 16th. Attendance will be by invitation only and Paddy has invited friends and busi- ness colleagues, in addition to local radio and TV per- sonalities. Complimentary drinks will be served at the reception. Paddy instructs his bartenders to fill shot glasses with his four new cocktail innovations: The Irish lugger, The Dublin Delight, The Tipperary Tippler, and The Belfast Blaster. The ingredients for these cocktails are Irish Whiskey, Irish Cream Liqueur, Crme de Menthe, and Coffee Cream Liqueur. Shot glasses hold 45 millilitres (approximately 1.5 ounces or 1 jigger) o liquor. The composition of the four cocktails is shown in the table below. Paddy has set aside ten 750-millilitre bottles each o Irish Cream Liqueur, Crme de Menthe, and Coffee Crean Liqueur, and six 1-litre bottles of Irish Whiskey. His objec tive is to make the largest possible number of the fou cocktails in advance. (a) Formulate as an LP problem. (b) Solve using Excel. IRISH DUBLIN TIPPERARY BELFAST INGREDIENT SLUGGER DELIGHT TIPPLER BLASTER Irish Whiskey 30 ml 10 mL 10 mL Irish Cream Liqueur 15 mL 10 mL 20 mL Crme de Menthe 15 mL 5 mL 25 ml Coffee Cream Liqueur 15 mL 15 mL 10 mL