A physician purchases a particular vaccine on Monday of each week. The vaccine must be used within the week following, otherwise it becomes worthless. The vaccine costs $20 per dose and the Physician charges $60 per dose. In the past 50 weeks, the physician has administered the vaccine in the following quantities:

Doses per week:20254060

No. of weeks:515 25 5

a)Obtain a payoff matrix

b)Obtain a regret matrix

c)Determine optimum number of doses the physician should buy

d)Determine the maximum amount the physician would be willing to pay per week for a perfect information about the number of doses expected to be demanded in a week