intermediate microeconomics optimal choice

ironboot1`

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Hi not sure if this is the right site for this but i'm in desperate need of help with a economics optimal choice problem as i am completely stuck and have no clue on what to do on this part all i know is it's a perfect substitute question but i'm clueless on how to find the price of whisky. Any help at all would be much appreciated

Chuck likes beer and whisky and spends $80 in total on drink. His utility function for whisky (w) and beer (b) is U = 10w + b: He can buy beer at $2 a can but the liquor store tries to discourage overconsumption of spirits by charging higher prices for larger quantities: the cost in dollars of w bottles of whisky works out at 5w^2
(a) How many cans of beer and how many bottles of whisky does Chuck consume?
(b) Illustrate your answer with a clearly labelled diagram showing Chuck's budget constraint and his indifference curve passing through the optimal consumption bundle.
 
Hi not sure if this is the right site for this but i'm in desperate need of help with a economics optimal choice problem as i am completely stuck and have no clue on what to do on this part all i know is it's a perfect substitute question but i'm clueless on how to find the price of whisky. Any help at all would be much appreciated

Chuck likes beer and whisky and spends $80 in total on drink. His utility function for whisky (w) and beer (b) is U = 10w + b: He can buy beer at $2 a can but the liquor store tries to discourage overconsumption of spirits by charging higher prices for larger quantities: the cost in dollars of w bottles of whisky works out at 5w^2
(a) How many cans of beer and how many bottles of whisky does Chuck consume?
(b) Illustrate your answer with a clearly labelled diagram showing Chuck's budget constraint and his indifference curve passing through the optimal consumption bundle.
Please share your work/thoughts about this assignment.

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Let's start with his budget constraint.

[MATH]80 = WHAT?[/MATH]
And where is utility maximized?
 
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