Reference no: EM1321196

Question: The Kalo Fertilizer Company makes a fertilizer using two chemicals that provide nitrogen, phos­phate, & potassium. A pound of ingredient 1 contributes 10 ounces of nitrogen & six ounces of phosphate, while a pound of ingredient 2 contributes 2 ounces of nitrogen, 6 ounces of phosphate, & 1 ounce of potassium. Ingredient 1 costs $3 per pound, & ingredient two costs $5 per pound. The company wants to know how many pounds of each chemical ingredient to put into a bag of fertilizer to meet the minimum requirements of 20 ounces of nitrogen, 36 ounces of phosphate, & two ounces of potassium while minimizing cost.

[A]     Formulate a linear programming model for this problem.
[B]     Solve this model by using graphical analysis.