Answer:
2 units of X and 5 units of Y
Step-by-step explanation:
(a) Utility is maximized when (MUx / Price of X) = (MUy / Price of Y)
This condition holds for the following cases
1. X = 4 (MUx / Px = 8 / 4 = 2) and Y = 6 (MUy / Px = 4 / 2 = 2)
2. X = 2 (MUx / Px = 16 / 4 = 4) and Y = 5 (MUy / Px = 8 / 2 = 4)
For the first case Total cost = 4 x $4 + 6 x $2 = $(16 + 12) = $28 (Budget is exceeded).
In the second scenario, Total cost = 2 x $4 + 5 x $2 = $(8 + 10) = $18 (budget is exhausted).
Optimal case contains X = 2 units, Y = 5 units.
Transformation of Periodic Functions [cos(x)]
For horizontal shifting: +c (left) -c (right)
For vertical shifting: +d (up) -d (down)
For horizontal scaling (period): b↑ compressing b↓ stretching
For vertical scaling (amplitude): a>1 stretching 0<a<1 compressing
Refer to the chart I attached
I hope that
helps!
I am with you if you faced any difficulties!
2/3 of 1 is simply 2/3 or 0.667