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.