Adoctor has told a patient to take vitamin pills. the patient needs at least 21 units of vitamin a, at least 8 units of vitamin c, and at least 71 units of vitamin d. the red vitamin pills cost 20 cents each and contain 7 units of a, 1 unit of c, and 7 units of d. the blue vitamin pills cost 40 cents each and contain 2 units of a, 1 units of c, and 10 units of d. how many pills should the patient take each day to minimize the cost?
a.8 red and 0 blue
b. 4 red and 4 blue
c. 5 red and 3 blue
d. 3 red and 5 blue

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?