Q3 part 1INSTRUCTIONS: For the mathematical models either use Word Equations, or write down the formulas on a paper, take a photo you MUST upload the word file and an Excel Workbook. For the optimization problems, you must use the Excel solve

Question 3) (40 points) Consider a transportation problem. There are a set of suppliers and a set of customers in a region. The customers have their known demand of a specific product. Suppliers have supply capacities for the product. An operations manager wants to make shipment decisions, i.e., how many items to ship from each supplier to each customer, subject to the demand requirements and supply capacities. The demand and supply information are presented below. Table 1 Customer Supply Supplier 1 2 3 Capacity A 10 10 50 B 5 9 50 C 10 10 50 D 10 8 5 50 We want to determine a shipment plan to satisfy customer's demand in the month of April. We do not have demand information for April. But we have historical demand data for the previous 11 months for each of the customers Table 2 Demand Period Month Customer 1 Customer 2 Customer 3 1 May 55 30 2 June 46 47 45 3 July 53 43 33 August 58 60 50 5 September 52 54 62 6 October 54 46 67 7 November 65 45 59 8 December 69 44 99 9 January 71 55 102 10 February 74 44 10 11 March 75 33 103 (e Apply the following three forecasting models to predict April's demand for each customer. i) 4-month moving average Exponential Smoothing with a = 0.4 Trend Line (regression) Answer: Table 3 April Demand Forecast Customer 1 Customer 2 Customer 3 4 Month Moving Average Exponential Smoothing Trend Line Regression)