As part of the weight reduction program, the man designs the monthly exercise program comprising of bicycling, jogging, and swimming. He would like to exercise at most 36 hours, devote at most five hours to swimming , and jog for no more than total number of hours bicycling and swimming. Calories burned per hour by bicycling, jogging and swimming are 200, 659, and 281, respectively. How many hours must be assigned to every activity to maximize number of calories burned? Determine maximum number of calories he will burn?
i) hours for bicycling
ii) hours for jogging
iii) hours for swimming
iv) maximum number of calories