Question | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|---|
Marks | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
For questions 1 and 2: Formulate the problem as a linear programming problem. It does not have to be stated in standard form. Make sure you explain the meaning of all of your variables.
Food | Milk (liters) | Beans (cups) | Grapefruit | Minimum Daily Requirement |
Niacin (mg) | 3.2 | 4.9 | 0.8 | 13.0 |
Thiamin (mg) | 1.12 | 1.3 | 0.19 | 1.5 |
Vitamin C (mg) | 32.0 | 0.0 | 93.0 | 45.0 |
Cost ($) | 2.00 | 0.30 | 0.35 |
Side note: One way to convert this to standard for is to
use a substitution that uses the equation
x 2 >= -2
to get the non-negativity constraint for x2
This question would have better tested the learning objectives
if students were forced to apply the tactic described in class
using x' and x".
(b)
[2]
Incorrect wording (this solution is not optimal):
The optimal solution to this problem has x1= 7
and x2 = -2. What values do your standard form
variables take on for this solution?
Please change this question to: One feasible solution to this problem has x1= 7 and x2 = -2. What values do your standard form variables take on for this solution?