Solve the following problems. Use any simplex method for linear programming app or browser

Format of Answer:

a. Formulation of Objective Function and Constraints

b. Initialize Objective and constraints with S or A variables

c. Show the initial tableau

d. Solve, you may use any software application(Show screenshotsfor the solutions)

e. State final answer / decision.

3. A grower has 50 acres of land for which she plans to raise three crops. It costs P200 to produce an acre of carrots and the profit is P60 per acre. It costs P80 to produce an acre of celery and the profit is P20 per acre. Finally, it costs P140 to produce an acre of lettuce and the profit is P30 per acre. Use the simplex method to find the number of acres of each crop she should plant in order to maximize her profit. Assume that her cost cannot exceed P10,000.5. A steel company has two mills. Mill 1 costs P70,000 per day to operate, and it can produce 400 tons of high-grade steel, 500 tons of medium-grade steel, and 450 tons of low-grade steel each day. Mill 2 costs P60,000 per day to operate, and it can produce 350 tons of high-grade steel, 600 tons of medium-grade steel, and 400 tons of low-grade steel each day. The company has orders totaling 100,000 tons of high-grade steel, 150,000 tons of medium-grade steel, and 124,500 tons of low-grade steel. How many days should the company run each mill to minimize its costs and still fill the orders