How to complete in Excel and step by step instructions and screen captures. The Sentry Lock Corporation manufactures a popular commercial security lock at plants in Macon, Louisville, Detroit, and Phoenix. The per-unit cost of production at each plant is 37.50, 36.25 respectively while annual production capacity at each plant is 18,000, 15,000, 25,000, and 20,000. Sentry’s locks are sold to retailers through wholesale distributor in seven cities across the US. Prices per unit are negotiated individually with the distributors and are given below. Additionally, the unit cost of shipping from each plant to each distributor is summarized below along with the maximum demand for each distributor. Total amounts shipped to distributors cannot exceed these amounts. Distributors Tacoma San Diego Dallas Denver St. Louis Tampa Baltimore Plants Macon 2.50 2.75 1.75 2.00 2.10 1.80 1.65 Louisville 1.85 1.90 1.50 1.60 1.00 1.90 1.85 Detroit 2.30 2.25 1.85 1.25 1.50 2.25 2.00 Phoenix 1.90 .90 1.60 1.75 2.00 2.50 2.65 Maximum Demand 8,500 14,500 13,500 12,600 18,000 15,000 9,000 Price to Distributor 58 65 42 $52 Sentry wants to determine how to sell and ship locks from plants to distributors such that profit to Sentry is maximized. Formulate and solve the appropriate spreadsheet model to determine this shipment pattern.