Optimization in Daily Life: Think about your favorite activity, hobbies or any kind of activity from your daily life. Find a problem which can be modeled with optimization. Now, think about the formulation steps for this activity using optimization and answer the formulation step questions below. (Note that you do not need to write a mathematical model.) 1. What is the decision to make?
2. What is the objective criterion?
3. What are the constraints for the decision?

Compare the sources of consumer credit 1. consumers use a prearranged loan using special checks 2. consumers use cards with no interest and non -revolving balances 3. consumers pay off debt and credit is automatically renewed 4. consumers take out a loan with a repayment date and have a specific purpose a. travel and entertainment credit b. revolving check credit c. closed-end credit d. revolving credit

Afirm’s production function is represented by q(m,r) = 4m 3/4r1/3, where q denotes output, m raw materials, and r robots. the firm is currently using 6 units of raw materials and 12 robots. according to the mrts, in order to maintain its output level the firm would need to give up 2 robots if it adds 9 units of raw materials. (a) true (b) false

You wish to retire in 13 years, at which time you want to have accumulated enough money to receive an annual annuity of $23,000 for 18 years after retirement. during the period before retirement you can earn 9 percent annually, while after retirement you can earn 11 percent on your money. what annual contributions to the retirement fund will allow you to receive the $23,000 annuity? use appendix c and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods.