Questions:
Linear Programming: Blending of Fertilizers
1. A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb:
COMPOUND Cost per lb
C30 $0.12
C92 $0.09
D21 $0.11
E11 $0.04
Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
a. E11 must constitute at least 15% of the blend
b. C92 and C30 must together constitute at least 45% of the blend
c. D21 and C92 can together can constitute no more than 30% of the blend
d. The fertilizer is sold and packaged into 50lb bags.