Ii if we could obtain more of the resource

ii. If we could obtain more of the resource represented by x
6
, could we increase profit? Why or why
not?
x
5
x
5
4x
5
x
2

IEOR 4004 Exam 1 Fall 2014
Name_______________________ UNI______________
No materials other than a pen/pencil are allowed.
2. (20 points) A farmer would like to determine the optimal proportions of three ingredients to include in an
animal feed mix. The final product must satisfy several nutrient restrictions. All possible ingredients, their
nutrient contents (in kilograms of nutrient per kilograms of ingredient) and the unit cost are shown in the
table below. The mixture must meet the following restrictions:
Calcium — at least 0.8% but not more than 1.2%
Protein — at least 22%
Fiber — at most 5%
Formulate a linear program that will find the composition of the feed mix that satisfies these constraints
while minimizing cost.
10.0
30.5
90.0
S