I would think C. because A. would be cheaper prices, and B. is false, D. just does not sound right.
Answer:
a) 3X + 2Y = 36
b) X = 6 , Y = 9
c) 27
Explanation:
Individual consumes : X and Y
Spends : $36 per time period
unit cost : $3 per unit for X
$2 per unit for Y
utility function : U( X, Y ) = .5XY
<u>A) Budget equation mathematically</u>
X* Px + Y* Py = M
3X + 2Y = 36
Px and Py = unit cost for X and Y
M = Total spent ( revenue )
<u>b) Values of X and Y that will maximize utility </u>
Maximum utility ( MRS ) = Px / Py ,
MRS = MUx / MUy
= Y/X = 3/2
∴ 2Y = 3X
From BC : 6X = 36 ( X = 6 plug into mathematically equation above )
∴ X = 6 , hence Y = 9
<u>c) Total utility generated per unit of time </u>
U( X,Y ) = .5XY
= 0.5 * 6 * 9 = 27
