Yahoo Answers: Answers and Comments for Apple banana consumer problem math questions? [Mathematics]
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From Anonymous
enUS
Thu, 31 Mar 2011 06:08:46 +0000
3
Yahoo Answers: Answers and Comments for Apple banana consumer problem math questions? [Mathematics]
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https://answers.yahoo.com/question/index?qid=20110331060845AAx1B1A
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From maitland: ok thinking chocolate cake people have been on...
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Fri, 21 Oct 2016 12:15:29 +0000
ok thinking chocolate cake people have been one million/3 of the finished, which potential there have been 30 finished. it particularly is thinking you're able to multiply the ten (of the people who like chocolate cake) situations 3. Algebraically it particularly is: x = finished people surveyed 10 = one million/3x multiply the two sides by utilising ability of three 30 = x now you be attentive to there have been 30 people surveyed, in userfriendly terms subtract 6, 4, 6, and 10 from it. you have 4 leftover. So 4 is the respond.

From Alfredo Kraus: (1) If A is the price of apples and B the pric...
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https://answers.yahoo.com/question/index?qid=20110331060845AAx1B1A
Thu, 31 Mar 2011 09:17:57 +0000
(1) If A is the price of apples and B the price of bananas and the consumer buys x apples and y bananas, the total cost is c = xA + yB. We know that A=B and c=1 so
xA+yB=1 and therefore x + y = 1/B and y = (1/B)  x so the utility is
u = x^α [ (1/B)  x]^(1α) and therefore the maximum occurs when du/dx = 0 i.e.
α x^(α1) [ (1/B)  x^(1α)]^(1α)  x^α (1α) [ (1/B)  x]^(2α) = 0 which simplifies to
α [(1/B)  x] = x (1α)
(α/B)  αx = x  αx and so
x = α/B which we know to be 1 so α=B, and
y = (1/B)  x = (1/B)  (α/B) = (1α) / B = 2 so 1α = 2B = 2α and therefore 3α=1 and α=B=1/3
(2) Now B remains 1/3 and A is 1/6. The cost of buying x apples and y bananas is therefore
c = (x/6) + (y/3) = 10 so y = (60x)/2. The utility is
u = x^(1/3) [ (60x)/2]^(2/3) so the maximum utility occurs when du/dx=0 i.e.
(1/3) x^(2/3) [ (60x)/2]^(2/3)  x^(1/3) (2/3) (1/2) [ (60x)/2]^(1/3), so
(60x)/2 = x
60 = 3x and therefore x=20. Then
y = (6020)/2 = 20