Tuesday, October 25, 2011

The frugal drunk wants to maximize the value of his spare change. Will you help him?

A pint of vodka costs $5.00 and contains 350 millileters. A half pint of vodka costs $3.00 and contains 200 millileters. Should he buy the one pint or two half pints to get the best price per millileter of Vodka?

Your kind answer will get you a toast to your health and possibly ten points!The frugal drunk wants to maximize the value of his spare change. Will you help him?(1) One Pint: 350ml =%26gt; $5.00 represents a cost of 500/350 = 1.4285714 cents/ml



(2) Two Half Pints: 400ml =%26gt; $6.00 represents a cost of 600/400 = 1.5 cents/ml



The Pint Bottle is the best deal. Slč°Šinte!The frugal drunk wants to maximize the value of his spare change. Will you help him?price per unit:



pint vodka - $5/350mL = $0.01429/mL

half pint - $3/200mL = $0.015/mL



one pintThe frugal drunk wants to maximize the value of his spare change. Will you help him?Pint in cost/ml = 5/350 = $0.01423/ml



half pint in cost/ml = 1/2(3/200) = 3/400 = $0.0075/ml



So buying the two pints is the better deal by $0.0068The frugal drunk wants to maximize the value of his spare change. Will you help him?The $5 (one pint) is better because to get 5 dollars is 1.66666666 times greater than 3 dollars. If you multiply 200 mL (half pint) times 1.66666666 you get a bit less than 350 mL, so for equal costs the half pint still has a bit less.The frugal drunk wants to maximize the value of his spare change. Will you help him?A pint is closer to 473 ml

A half-pint is closer to 236.5 ml



Either way the answer is still that the larger quantity is a better deal.



Double $3 is $6 which is more than $5.The frugal drunk wants to maximize the value of his spare change. Will you help him?A pint of Everclear is 8-9 bucks frugal drunk. 190 proof = double the content of plastic bottle 'top shelf'.The frugal drunk wants to maximize the value of his spare change. Will you help him?AA is free. No hangovers either!