6. Howie McKim has a maximum of six hours of study time before the exam. He knows what material will be covered on the test, how well prepared he is in each area, and how much additional hour of study will help him in each area: Areas Hours of Study 0 1 2 3 4 LP 5 10 15 20 22 NP 15 22 25 25 25 IP 2 12 15 17 25 DP 5 7 15 25 25 LP = NP = IP DP = Linear Programming Network Analysis Integer Programming Dynamic Programming (a) Use dynamic programming to allocate Howie's study time to maximize his point grade on the exam. (b) How many fewer points will he get if he takes an hour off to work for the local MP candidate of his choice?