In: Economics
Leo's utility function is U=min(6x,2y). If Leo's income is 6 dollars, the price of good X is 8 and the price of good Y is 7, how many units of good X will Leo buy in order to maximize his utility?
Preferences are perfect Complements
Two goods are consumed in fixed proportions
6x =2y
3x = y
From BC : 8x + 7y = 6
Put y = 3x
So, 8x + 21x = 6
29x = 6
x* = 6/29