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Please answer by showing detailed steps and include how-to-make graphs or creating diagrams, with formulas & explanations :)

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Question -

Answer the following using the given data above -

Linear Programming Question- XYZ is a company that sells agricultural products to farmers. One service that it provides to customers is custom feed mixing, for which a farmer can order a specific amount of livestock feed and specify the amount of corn, grain, and minerals that the feed should contain. This is an important service because the proper feed for various farm animals changes regularly depending upon the weather, and pasture conditions, for example. XYZ stocks bulk amounts of four types of feeds that it can mix to meet a given customer's specifications. The following table summarizes the four feeds; their composition of corn, grain, and minerals, and the cost per kilogram for each feed type: Nutrient Corn Grain Minerals Cost per kilogram Feed 1 20% 25% 30% $0.25 Percent of Nutrient Feed 2 Feed 3 15% 20% 30% 25% 20% 20% $0.30 $0.32 Feed 4 10% 15% 30% $0.15 XYZ has just received an order from a local chicken famer for 8,000 kgs of feed. The farmer wants the feed to contain at least 20% corn; at least 15% grain; and at least 15% minerals. Create a Sensitivity Report and answer the following questions: a) Suppose we forced Feed 3 to be in the solution, what would happen to the objective function's value? b) What are the max and min values of the objective function coefficients for Feed 1; Feed 2; and Feed 4 for which the current optimal solution is valid? c) What do the shadow prices for the Corn and Grain constraints mean? d) What are the maximum and minimum values for the Corn and Grain constraints for which the current constraint value does not change