pls insert all steps ti arrive at the solution

1. (65) DP Med manufactures two well-known fertilizers. Each fertilizer product is a blend of two raw materials known as K40 and K.50. During the current production period, 900 pounds of K400 and 400 pounds of K50 are available. Each of the products known as Green Lawn uses 3/5 pounds of K40 and 2/5 pounds of K50. Each of the products known as Lawn Care uses 3/4 pound of K40 and 4 pound of K50. In addition, a current time limit on the available packaging materials restricts the production of Law care to a maximum of 500 pounds. 1(75) a) Formulate a linear programming problem to find out how many pounds of each product should the company manufacture if the profit per pound is $3 per product. b) Use DESMOS to graph the feasible region. Shade it. Calculate coordinates of all vertexes on separate paper. Calculate corresponding profits. Provide evidence. c) Calculate slacks. Show procedure. d) How much the firm is willing to pay for an extra pound of K40 material? Of K50 material? e) If extra 30 pounds of the material K50 are available for 6$ per pound, suggest what the company should do. What is the profit increase if all 30 pounds of K-50 are used? Justify your calculation by using the Dual price. ) If profit contribution for Lawn Care drops to $1 what be the profit change? Justify your calculation