1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
victus00 [196]
3 years ago
11

​Vasco's utility function​ is: Upper U equals 10 Upper X squared Upper ZU = 10X2Z The price of X is px​ = ​$55​, the price of Z

is pz​ = ​$2020​, and his income is ​$150150. What is his optimal​ bundle? ​(round your answer to two decimal​ places)
Business
1 answer:
disa [49]3 years ago
6 0

Answer:

Explanation:

U = 10 X²Z

Given

150 = 5X + 20Z

30 = X + 4Z

To maximise utility

differentiating partially wrt X

MU_x = dU/ dX = 20XZ

differentiating partially wrt Y

MU_y = dU/dY = 10X²

For optimal bundle

MU_x / MU_y = P_x / P_y

20XZ /  10X² = 5 / 20

2Z / X = 1/4

X = 8Z

30 = X + 4Z

30 = 8Z + 4Z

12Z = 30

Z = 2.5

X =  8 X 2.5

= 20

X = 20

Z = 2.5

You might be interested in
The following information is for Punta Company for July: Factory overhead costs were applied to jobs at the predetermined rate o
Aleksandr-060686 [28]

Answer:

Solution 1 : Total Manufacturing Cost of Job S is $434,847.5 while for Job T is $ 392,247.5

Solution 2 : The amount of overheads has been over-applied and the Cost of Goods Sold will decrease by $94,695

Explanation:

<u>Solution 1</u>

Particulars                                             Job S ($)                Job T ($)

Direct material                                47,700               113,450

Direct labor                                        64,500                54,000

Overhead Applied (Hours* $51.50)      322,647.5       224,797.5

Total manufacturing cost                 434,847.5       392,247.5

<u>Solution 2</u>

In order to calculate the amount of over-applied or under-applied, we will take the difference between the overheads applied and the actual overheads incurred during the period. If the applied overheads are more than the actual then the amount has been over-applied and the Cost of Goods Sold will decrease. However, in case the overheads were under-applied then the Cost of Goods Sold would increase. The calculation has been done below:

Actual Overhead = $86,250 + $215,500 + $151,000 = $452,750

Applied overhead = 322,647.5 + 224,797.5 = $547,445

Over-applied/Under-applied overhead = Applied overhead - Actual Overhead

547,445 - 452,750 = $94,695. The overheads has been over-applied.  

Cost of Goods Sold account will be decreased by $94,695.

4 0
2 years ago
Acme Supply Co. has a new project that will require the company to borrow $3,000,000. Acme has made an agreement with three lend
aleksley [76]

Answer:

WACC = 10(1,500,000/3,000,000) + 12(1,000,000/3,000,000) + 13(500,000/3,000,000)

WACC = 5 + 4 + 2.17

WACC = 11.17%

Explanation:

WACC is a function of interest charged by each bank and the proportion of funds provided by each bank in relation to the total amount required by the investor.

4 0
3 years ago
Imagine that two goods are available to you: servants (X) and robots (Y). You like servants three times as much as robots. If yo
Andrej [43]

Answer: 3

Explanation:

The marginal rate of substitution simply means the rate at which one good will be exchanged for another good based on the current market price.

Since you like servants three times as much as robots, this implies that the utility that one gets from one servant is exactly like the utility that will be gotten from three robots.

Therefore, the utility function will be:

U = 3X + Y

Then, the marginal rate of substitution will be:

= MUX/MUY

= 3

4 0
3 years ago
A middle-aged widowed customer has an investment objective of stable income and would also like to receive occasional "extra" in
Illusion [34]

Answer: Participating preferred

Explanation:

Participating preferred is a stock which pays specific dividends rate to their customers and also receives additional dividends, this is made known Board of Directors and paid by the company, this meets up with the objectives a customers has for investing and having a stable income. It is so known as performance preferred and it gives the holder the benefit of collecting extra dividends.

6 0
2 years ago
Mission Corp. borrowed $50,000 cash on April 1, 2016, and signed a one-year 12%, interest-bearing note payable. The interest and
ikadub [295]

Answer:$4,500---B, ie the 2nd option

Explanation:

From April to December we have 9 months

Interest Expense is given as Loan x Interest Rate x duration

Interest Expense = 50000 x 12% x 9/12 =

50,000x 0.12x9/12= $4,500

8 0
3 years ago
Other questions:
  • Locally manufactured Bubbles is a popular brand of detergent in Germany. However, with the entry of a foreign multinational into
    12·2 answers
  • 4. Why would someone choose to remain a nonemployer?
    5·1 answer
  • Tamar Co. manufactures a single product in one department. All direct materials are added at the beginning of the manufacturing
    8·1 answer
  • Consumer products that customers see as basically the same and want to buy at the lowest price are called:
    6·1 answer
  • Today's settlement price on a Chicago Mercantile Exchange (CME) yen futures contract is $0.8011/¥100. Your margin account curren
    14·1 answer
  • Flick Company uses a standard cost system in which manufacturing overhead is applied to units of product on the basis of standar
    6·1 answer
  • Define ''limited in stock''
    6·1 answer
  • G To what extent do managers need to have experience in accounting and with financial statements?
    11·1 answer
  • Olivia is a partner in Pacific Trade. In the majority of states, with respect to any partnership obligations that Olivia does no
    12·1 answer
  • A buyer particularly liked the ornate brass lighting fixtures in a seller's house and immediately made an offer, which the selle
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!