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Len [333]
2 years ago
9

Wade paid $7,000 for an automobile that needed substantial repairs. he worked nights and weekends to restore the car and spent $

2,400 on parts for it. he knows that he can sell the car for $13,000, but he is very wealthy and does not need the money. on the other hand, his daughter, who has very little income, needs money to make the down payment on a house.
a. would it matter, after taxes, whether wade sells the car and gives the money to his daughter or whether he gives the car to his daughter and she sells it for $13,000
Business
1 answer:
Brrunno [24]2 years ago
8 0
Yes, it would matter. If Wade was primarily concerned with the tax effect, he should give the car to his daughter and let her sell it. Conveniently, the limit on how much one can give without paying federal taxes on that gift (other than to charity), is $13,000. This means wade will pay no tax when he gifts the car to his daughter. If he sells it himself, he will need to pay tax on the gain he realizes on the sale of the car, since he will have made a profit on the sale.

His daughter, when she sells the car, will also have to recognize the gain on the sale of the vehicle. However, she is apparently in a much lower income bracket than Wade, and thus may pay even less tax on her 13,000 gain than Wade would have paid on his $3600 profit.
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Show that if the contribution to profit for trains is between $1.50 and $3, the current basis remains optimal. If the contributi
Dmitriy789 [7]

Answer:

210

Explanation:

Let us consider that x is the number of soldiers produced each week and y is number of trains produced each week.

Also, weekly revenues and costs can be expressed in terms of the decision variables x and y.

Then,

Hence the profit which we want to maximize is given by,

Now the constraints are given as,

Finishing Constraint:

Each week, no more than 100 hours of finishing time may be used.

Carpentry Constraint:

Each week, no more than 80 hours of carpentry time may be used.

Demand Constraint:

Because of limited demand, at most 40 soldiers should be produced each week.

Combining the sign restrictions and with the objective function  and constraints,and yield the following optimization model:

Such that,

First convert the given inequalities into equalities:

From equation (1):

If x=0 in equation (1) then (0,100)

If y=0 in equation (1) then (50,0)

From equation (2):

If x=0 in equation (2) then (0,80)

If y=0 in equation (2) then (80,0)

From equation (3):

Equation (3) is the line passing through the point x=40.

Therefore, the given LPP has a feasible solution first image

The optimum solution for the given LPP is obtained as follows in the second image

The optimal solution to this problem is,

And the optimum values are  .

Let c be the contribution to profit by each train. We need to find the values of c for which the current, basis remain optimal. Currently c is 2, and each iso-profit line has the form

3x +  2y = constant

y = 3x/2 +constant/ 2

And so, each iso-profit line has a slope of  .

From the graph we can see that if a change in c causes the isoprofit lines to be flatter than the carpentry constraint, then the optimal solution will change from the current optimal solution to a new optimal solution, If the profit for each train is c, the slope of each isoprofit line will be.

-3/c

Because the slope of the carpentry constraint is –1, the isoprofit lines will be flatter than the carpentry constraint.

If,

-3/c<-1

c >3

and the current basis will no longer be optimal. The new optimal solution will be point A of the graph.

If the is oprofit lines are steeper than the finishing constraint, then the optimal solution will change from point B to point C. The slope of the finishing constraint is –2.

If,

-3/c < -2 or

C < 1.5

Then the current basis is no longer optimal and point C,(40,20), will be optimal. Hence when the contribution to the profit for trains is between $1.50 and $3, the current basis remains optimal.

Again, consider the contribution to the profit for trains is $2.50, then the decision variables remain the same since the contribution to the profit for trains is between $1.50 and $3. And the optimal solution is given by,

z = 3× (20) + 2.5 × (60)

= 60 + 150

= 210

5 0
2 years ago
The marginal utility of the last unit of apples consumed is 12 and the marginal utility of the last unit of bananas consumed is
allsm [11]

Complete question:

The marginal utility of the last unit of apples consumed is 12 and the marginal utility of the last unit of bananas consumed is 8. What set of prices for apples and bananas, respectively, would be consistent with consumer equilibrium

a. $8 and $12

b. $6 and $4

c. $16 and $9

d. $4 and $6

Answer:

$6 and $4  set of prices for apples and bananas, respectively, would be consistent with consumer equilibrium.

Explanation:

Given,

The marginal utility of the last unit of apples consumed = 12

The marginal utility of the last unit of bananas consumed = 8

Now ,

To find :

The market level for apples and bananas, respectively, will be compatible with the consumer's equilibrium:

= \frac{12}{3} = $6

= \frac{8}{2} = $4

$6 and $4  set of prices for apples and bananas, respectively, would be consistent with consumer equilibrium.

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c. The sales associate must notify the DBPR in writing within 60 days regarding her change in residency.

d. The sales associate must file an application for Georgia real estate license.

From the question, we are informed that a sales associate moves from Jacksonville, Florida, to Atlanta, Georgia. The associate continues to be employed by the same broker, who has an office in Atlanta.

Based on the scenario, the sales associate should let the DBPR be aware that he or she has moved from

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