Please help explain how to solve this.

Aglie, . AT&T LTE 12:56 PM 73%O 1- (35 points) To answer this question, use Fel file named 01_template". A company ships their products from Intee diffe lants (Los Angeles, Atlanta and New York City) to four regions of the United States (East, Midwest. South, West). Each plant has a limited capacity on how many products can be sent out and each region has a demand of products that they must receive. The company wants to determine how many products each plant should ship to each region in order to minimize the total transportation cost Transportation cost (S) for each unit of product shipped between each pair of (plant, region) East Midwest South West Los Angeles $5.00 $3.50 $4.20 $2.20 Atlanta $3.20 $2.60 $1.80 $4.80 New York City $2.50 $3.10 $3.30 $5.40 Plant capacity 10,000 12.000 14,000 6,000 13,000 Regional demand 9,000 6.000 a) (15 points) Formulate this problem as a Linear Programing model. a Decision variables (Hint: what do we want to decide about? Shipment volume from any plant to any region. Start with the following table and complete it) Notation Description X: Shipment volume X2 Shipment volume X Shipment volume From plant LA LA LA To region East Midwest South X1 X2 Shipment volume Shipment volume NYC NYC South West Objective function How do we measure the cost of a complete solution? (Hint: write a function that measures transportation costs with the decision variables above and the given unit shipment costs. You can complete the partial function below). 12 fx D F G . Unit shipment costs Sales Regions Plant locations East Los Angeles $5.0 Atlanta $3.2 New York City $2.5 Midwest $3.5 $2.6 $3.1 South $4.2 $1.8 $3.3 West $2.2 $4.8 $5.4 Plant Capacity 10,000 12,000 14,000 36,000 Regional Demand 9,000 6,000 6,000 13,000 34,000 Decision variables Midwest South Objective function Minimize total shipment costs West 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 Shipment volume (in units) Sales Regions Plant locations East Los Angeles Atlanta New York City >= Demand Satisfaction Total received East Midwest South West >= Total required 9,000 6,000 6,000 13,000 > > Capacity availability Total Shipped Los Angeles Atlanta New York City = Demand Satisfaction Total received East Midwest South West >= Total required 9,000 6,000 6,000 13,000 > > Capacity availability Total Shipped Los Angeles Atlanta New York City