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
Answer:
b. $20.
Explanation:
Regardless of what the break-even volume is, at this volume profits are zero.
This means that any unit sold beyond this point will provide a profit equivalent to its marginal benefit, which is its selling price subtracted by its variable cost.
If a product sells for $50 and has a variable cost of $30, by selling one unit in excess of its break-even volume, the profit will be:

The profit will be $20.
If Jamie would like to compare one savings account to
another savings account, and that he compares the amount of the interest he
will earn in one year in each account, it is likely that he is demonstrating
the annual percentage yield. This is where the annual rate return exist in
which the effect of copound interest is being taken into account.
hope this helps
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