This assignment focuses on Lecture # 4 and 5 and particularly using Linear programming Method. Please answer the 3 questions and show all your work in detail: 1. Defining and describe your variables clearly with explanations of why you think they are the variables 2. Develop your objective function and how it is related to its variables. (show it mathematically) 3. Determine what are you trying to achieve: Maximize or Minimize? 4. What are your constraints? Explain them in words and write them mathematically 5. Attached Excel file showing how you used the Solve function to achieve your result.

Question 3.

An International Farming Company operates a large farm on which tomatoes are produced. The farm manager determined that for the tomatoes to grow in the desired fashion, they need at least minimum amounts of four fertilizers. The manager is considering three different Mixes to feed the soil. The table below lists the number of units of each fertilizer in each pound of a mix, the minimum daily requirements of each fertilizer for each tomato plant, and the cost of each Mix.

The manager believes that as long as the plants receive the minimum daily amount of each fertilizer, they will be healthy and produce a standard amount of tomatoes. The manager wants to operate the farm at a minimum cost.

Question 3. [5 Marks] An International Earming Company operates a large farm on which tomatoes are produced. The farm manager determined that for the tomatoes to grow in the desired fashion, they need at least minimum amounts of four fertilizers. The manager is considering three different Mixes to feed the soil. The table below lists the number of units of each fertilizer in each pound of a mix, the minimum daily requirements of each fertilizer for each tomato plant, and the cost of each Mix. The manager believes that as long as the plants receive the minimum daily amount of each fertilizer, they will be healthy and produce a standard amount of tomatoes. The manager wants to operate the farm at a minimum cost