EXERCISE_2 INSTRUCTION: Set up a new program of equality constraints and obtain a simplex solution to the following linear programming problem. Write your answers in a clean sheet of paper and upload it in the google classroom. A refinery operating in Nebraska uses four crude oils: Oklahoma, Texas, Wyoming, and Pennsylvania. These crudes have different delivered prices as indicated below. The refinery makes four basic end products: regular gasoline, high-test gasoline, diesel fuel, and fuel oil. The catalytic cracking and characteristics of the refinery dictate a limited and different product mix for different crudes. Data are as follows: Delivered Optimal Through Put for each Crude Crude price per gallon Regular High-test Diesel fuel Fuel oil (pesos) gasoline gasoline Oklahoma 30% 10% 40% 20% Texas 6 20% 10% 60% 10% Wyoming 5 10% 30% 60% Pennsylvania 30% 50% 20% Requirement 2,000 1,500 2.800 3,300 s Gallons Requirement: 1) Tabulate the problem in a simplex matrix with the objective of minimizing crude prices. (P.S. Use letters' w, x, y, z as your basic variables) 2) Answer the ff. questions: a. What is the total minimum price? b. How many gallons of crude oil (Texas) is required to get the minimum price? c. What is the outgoing variable of the initial simplex table? d. What column is the optimum column of the second simplex table? e. What row is the pivot row of the third simplex table