Math 4480/5480 - Spring 2012
Due Wednesday, March 7
BEFORE CLASS BEGINS
NAME:
Student ID:
EXAM 1 - Math Modeling
Math 4480/5480 - Spring 2012
Part 2 - Take Home (worth 60 points)
You are not allowed to get any HUMAN help during this exam!
(e.g. colleagues
NAME:
Student ID:
Math 4480/5480 - Spring 2012
April 11, 2012
EXAM 2 - Math Modeling
Part 1 - In Class (worth 40 points)
For each of the problems 1 & 2 below, set up the problem via Pontryagin maximum principle: identify the state variables, the state dyn
Practice for Exam 2
Math 4480 - Mathematical Modeling
Spring 2012 - Dr. Radu Cascaval
Problem 1. Push Cart problem
Consider the problem of accelerating a cart (initially at rest) in such a way as to maximize the total distance
travelled in a given time T
Practice for Exam 1
Math 4480 - Mathematical Modeling
Spring 2012 - Dr. Radu Cascaval
Problem 1
(a) Formulate the Lagrange Multiplier Method for optimizing an objective function f (x, y, z) subject to a constraint
g(x, y, z) = c.
(b) Apply it to nd the mi
1 . Linear Programming Problem
Complete the blending problem from the in-class part [included below]
An oil company makes two blends of fuel by mixing three oils. Figures on the costs and daily availability of the oils are given
in Table 1 below.
Table 1.