1
Apply the Linear Programming Theorem and interpret the results.
2) Answer the questions below for the following situation:
For a certain lawn, a landscaping contractor plans to use the least expensive combination of two brands of
fertilizer. A package of Brand X costs $16 and contains 12 oz of phosphates and 10 oz of nitrates. A package of
Brand Y costs $7 and contains 10 oz of phosphates and 5 oz of nitrates. The lawn requires at least 60 oz of
phosphates and 40 oz of nitrates. Which combination of the two brands should be used?
a. Translate the constraints into a system of inequalities.
b. Graph the system and label the vertices of the feasible set.
c. Apply the Linear Programming Theorem and interpret the results.
X