For the Beauty Grow Fertilizer production problem (problem 18), the following table represents the percentage of nitrogen, phosphorus, and potassium in each of the three compounds: Beauty Green is to...

For the Beauty Grow Fertilizer production problem (problem 18), the following table represents the percentage of nitrogen, phosphorus, and potassium in each of the three compounds:

Beauty Green is to be labeled 25-5-5, while Beauty Turf is to be labeled 10-18-5. These values are the minimum percentages of nitrogen, phosphorus, and potassium, respectively, that must be in each bag.

a. Write a model shell that states that the minimum percentage of nitrogen in Beauty Green is 25%. Do this by expressing the actual percentage of nitrogen as a weighted average of the percentage of nitrogen in each compound. It will take the following form: (Proportion of Compound 1 in Beauty Green) (Nj) + (Proportion of Compound 2 in Beauty Green) (N2) + (Proportion of Compound 3 in Beauty Green) (N3) > 25

 b. Write a model shell stating that the minimum percentage of nitrogen in Beauty Turf is 10%. Do this by expressing the actual percentage of nitrogen as