need help with part 3 * Part 3Formulate the linear programming problem for this situation. (Enter either the word Maximize or the word Minimize in the first blank. Type the symbols <= wherever you want a "less than orequal" inequality, i.e., <, and type the symbols >= wherever you what a "greater than or equal" inequality, i.e., >.)出エ+| 11H y (in dollars)maximize13subject to the constraintsI >=nitrate used (in pounds):20出エ+13Y <=phosphate used (in pounds):25I z+16potash used (in pounds):15I+| 13Y <= * Part 1Rework problem 3 in section 1 of Chapter 7 of your textbook, about the Natural Fertilizer Company, using the following data. Assume that the company produces 100 pound sacks of 20-25-15fertilizer for lawns and 100 pound sacks of 13-16-13 fertilizer for gardens, where the numbers are the percentage by weight of nitrate, phosphate, and potash, respectively, in each sack.Assume also that the company has on hand 12 tons of nitrate, 10 tons of phosphate, and 10 tons of potash, Assume also that the profit on each sack of lawn fertilizer is $13.00 and the profit oneach sack of garden fertilizer is $11.00. How many sacks of each type of fertilizer should the company make in order maximize its profit?When you formulate a linear programming problem to solve this problem, how many variables, how many constraints (both implicit and explicit), and how many objective functions should youhave?Number of variables: 2Number of constraints: 5Number of objective functions: 1- Part 2In order to formulate the linear programming problem, what should the variables z and y be?(1) What should the variable z be?OA. the amount (in pounds) of nitrate to be usedOB. the amount (in pounds) of phosphate to be usedOc the total profit (in dollars) on lawn fertilizerOD. the amount (in pounds) of potash to be usedE. the number of 100 pound bags of lawn fertilizer to be made(2) What should the variable y be?OA. the total profit (in dollars) on garden fertilizerOB. the amount (in pounds) of potash to be usedOC. the amount (in pounds) of nitrate to be usedD. the number of 100 pound bags of garden fertilizer to be madeOE. the amount (in pounds) of phosphate to be used

Part 3: Formulation of Linear Programming Problem: Objective Function is as follows: Maximize 13x+11y(in dollars) Subject to the constraints : x≥0, y≥0 nitrate used( in pounds):20x+13y≤24000phosphate used(in pounds):25x+16y≤20000potash used (in pounds):15x+13y≤20000Answer: Objective Function is as follows: Maximize 13x+11y(in dollars) Subject to the constraints : x≥0, y≥0 nitrate used( in pounds):20x+13y≤24000phosphate used(in pounds):25x+16y≤20000potash used (in pounds):15x+13y≤20000