I need help confirming I have the algebraic model.

Tcorp is a manufacturing company that specializes in the production and distribution of goods and consumers. One of their biggest expenses is transportation costs. Our goal is to minimize these costs to increase profit margins. It is also necessary to not compromise shipping time. We can do this by optimizing our shipping strategies. To minimize shipping costs, we have used a linear programming model to determine the most effective shipping plans. This model utilizes decision variables that represent the quantities of goods shipped from each manufacturing plant to each customer location. The goal is to minimize the total transportation cost, calculated as the sum of costs incurred while shipping goods from each plant to each customer location. For the supply constraints the goods shipped from each manufacturing plan cannot exceed its production capacity. ixijSi for all i Si is the production capacity of plant I. Demand constraints: The quantity of goods shipped to each customer location must be enough for the demand ixij=Dj for all j where D is the demand of customer location j. Non-negativity constraints: The quantity of goods shipped cannot be negative. xij 0 for all i and j Using excel solver to solve the linear programming model it came up with the optimal shipping plan which is shown below. The diagram below represents the configuration of the transportation network: The goal of this report is to propose a shipping strategy for TCORP that minimizes transportation costs. According to the rubric below, the report should include 3 sections, see below for important information about what to include in each section: 1. Introduction: Provide background and motivation about the problem you are analyzing, why is it important for TCORP to minimize transportation costs? 2. Model: Include the algebraic decision model, clearly identifying decision variables, objective function, and constraints. Explain each of the components. 3. Optimal Solution: Present the shipping plan that you obtained by solving your algebraic model in Excel. Tcorp is a manufacturing company that specializes in the production and distribution of goods and consumers. One of their biggest expenses is transportation costs. Our goal is to minimize these costs to increase profit margins. It is also necessary to not compromise shipping time. We can do this by optimizing our shipping strategies. To minimize shipping costs, we have used a linear programming model to determine the most effective shipping plans. This model utilizes decision variables that represent the quantities of goods shipped from each manufacturing plant to each customer location. The goal is to minimize the total transportation cost, calculated as the sum of costs incurred while shipping goods from each plant to each customer location. For the supply constraints the goods shipped from each manufacturing plan cannot exceed its production capacity. ixijSi for all i Si is the production capacity of plant I. Demand constraints: The quantity of goods shipped to each customer location must be enough for the demand ixij=Dj for all j where D is the demand of customer location j. Non-negativity constraints: The quantity of goods shipped cannot be negative. xij 0 for all i and j Using excel solver to solve the linear programming model it came up with the optimal shipping plan which is shown below. The diagram below represents the configuration of the transportation network: The goal of this report is to propose a shipping strategy for TCORP that minimizes transportation costs. According to the rubric below, the report should include 3 sections, see below for important information about what to include in each section: 1. Introduction: Provide background and motivation about the problem you are analyzing, why is it important for TCORP to minimize transportation costs? 2. Model: Include the algebraic decision model, clearly identifying decision variables, objective function, and constraints. Explain each of the components. 3. Optimal Solution: Present the shipping plan that you obtained by solving your algebraic model in Excel