Answer the following questions on linear programming (use the class notes to review the concepts).1. a manager has formulated the following lp problem. draw the graph and find the optimal solution. (in each, all variables are )maximize: 10x+15y, subject to 2x+5y ≤ 40 and 6x+3y ≤ 48.2. an athlete carefully watches her intake of calcium, protein, and calories. her breakfast diet consists mainly of milk and cereal, whose prices andnutrient contents appear in the following table: milk (1 oz.) cereal (1 oz.)calcium22protein26calories62pri ce$.10$.15she seeks a diet that supplies at least 50 units of calcium, 90 units ofprotein, and 66 calories at minimum cost. a. formulate, graph, and solve this decision problem. what is theminimum cost of meeting the nutrient requirements? (9)b. if the calcium requirement is increased by a small amount, say 4 units to 54, then find the new solution and the shadowprice associated with calcium.(3)