The natural fertilizer company, using the following data. assume that the company produces 100 pound sacks of 35-20-20 fertilizer for lawns and 100 pound sacks of 14-13-12 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 8 tons of nitrate, 11 tons of phosphate, and7 tons of potash, assume also that the profit on each sack of lawn fertilizer is $15.00 and the profit on each sack of garden fertilizer is $10.00. how many sacks of each type of fertilizer should the company makein 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 you have? number of variables: 2number of constraints: 5number of objective functions: 1variable x should be the number of 100 pound bags of lawn fertilizer to be madevariable y should be the number of 100 pound bags of garden fertilizer to be madeformulate the linear program for this situation.