Utah State University
Department of Electrical and Computer Engineering
ECE 6040 Convex Optimization - Fall 2017

Homework 1

Additional exercises can be found at the textbook web site. The problems below are taken from the May 26, 2017 version of the additional exercises.

 

  1. A sales representative covers territory in Iowa and Kansas. Her daily travel expenses average $120 in Iowa and$100 in Kansas. Her company provides an annual travel allowance of $18000. Her company also stipulates that she must spend at least 50 days in Iowa, and 60 days in Kansas per year. If sales average $3000 per day in Iowa, and $2500 per day in Kansas, how many days should she spend in each state to maximize sales? Graph the feasible set and then solve this problem graphically.
  2. Additional exercises 1.1
  3. Additional exercises 1.3
  4. Book 2.2
  5. Book 2.5
  6. Book 2.7
  7. Book 2.10 (Hint: Use problem 2.2.)