Consider a country where there are 1¢, 5¢, 10¢, 20¢, 25¢, and 50¢ pieces. You work at the Two-Twelve Con-venience Store and must give a customer 91¢ in change. Formulate an IP that can be used to minimize the numberof coins needed to give the correct change. Use what you know about knapsack problems to solve the IP by the branch-and-bound method. (Hint: We need only solve a 90¢ problem.)

Scenario 1: Start working with a $10,000 bonus and then have your boss pay you 10,000 for 3 full weeks including weekends.  Scenario 2: Start working with a savings account with a .25 cents in it and your boss double it each day for 3 full weeks including weekends. Question 1: Calculate each scenario individually. Question 2: Calculate the total sum collected by both scenarios at the end of the 3 weeks. Clearly identify the value in each account at the end of 3 weeks. (Hint: Create a table of values for both functions and then add.)

Find the maximum payment each situation can afford for a housing. a. Enrique makes $109,992 per year b. Julie makes $4589 a month c. Dean makes $1087 weekly

For a lifetime life insurance purchased by someone aged 40, some of the following information is provided: • The death benefit is paid at the end of the year of death of $35000 if you die at age 20 year from first contract, $70000 if dies after 20 years of contract. • Premiums with the same amount are paid on average twice a year for a maximum of 20 years as long as they are alive. ä40 = 18,458 60= 14,904 ä50 = 17,025 ä(2) 40:201 = 19,628 ä(2)50:101 = 17,553 20E40 0,36663 10E50 0,60182 i = 0,05 Calculate the benefit reserve at time 10, that is 10V, using the prospective method! =