Question

Perfect Complements

If 4x,y are perfect complements
then 1x = 4y

If x,3y are perfect complements
then 1x = 3y

Can someone please explain the theory behind this and steps on how to solve related questions like this ?

What would happen if 4x,2y are perfect complements
what would x equal to ?

Answer 1

u Cr, M2) = min (221972) A consumer with this type of utility for only achieves a higher utility level when the quantity of both good increases. An example is left and . night shoes, many left shoes asesuot increase utility unless they are matched with same as of right shoes. The utility mayan numbers problem in Max ming min {2m, mag sit. b + b 2 =H. optimal comen lung les are located at the kinks of ad curve, this requires the equality befw items in { } parenthesis. le 29 = 22 puting this in Budget constraint we get b, ay + Pg (2 mg) =M þ +2k, 2M P, +2b,

then if if u &y are Pe then for solving take 4x = 14 & 8 3y are ac then for solving take 1x = 38. undry are pc then for solving take 42 = 36 -> if then arre Po
The following example might be helpful
Max u min ( 3 , ²2} 1 Subject to a + b = M. =) 52, + 52 = 60 - 5 (1 +22) = 60 >> Rutny - 12 butting 324 = 22 M + 324 = 12 -> 494.12 3 2 = 324 Vez - 3.3 m = 9 Answer -3