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
frez [133]
3 years ago
13

​U(X,Y)equals=20Xplus+80Yminus−Upper X squaredX2minus−2Upper Y squaredY2 where X is his consumption of CDs with a price of ​$11

and Y is his consumption of movie​ videos, with a rental price of ​$22. He plans to spend ​$6565 on both forms of entertainment. Determine the number of CDs and video rentals that will maximize​ Maurice's utility.
Business
1 answer:
ankoles [38]3 years ago
7 0

Answer:

The number of CDs = 111.36

The number of movie videos = 242.72

N/B: I choose not to round up the answers.

Explanation:

The method used is the Lagrangian method. Basically, the optimization problem we are trying to solve is  the utility function u(x,y) = 20x+80y -x^2 -y^2

subject to the constraint

11x + 22y = 6565.

So the optimization problem(Lagrangian) is

\Delta = 20x + 80y -x^2 -y^2- \lambda(11x+22y-6565),

where \lambda is a constant called the Lagrange multiplier.

To find the optimal consumption, we need to maximize the Lagrangian with respect to the variables x,y,\lambda. This we do by differentiating \Delta with respect to each variable and then equate to 0.

\Delta_x : 11\lambda = 20 - 2x ........................(1) \\\Delta_y: 11\lambda = 40 -y .........................(2) \\\Delta_\lambda = 11x + 22y = 6565............................(3) \\

Equate (1) and (2), to get y = 20+2x and substitute into (3) to get x = 111.36. Substituting x = 111.36 into 20+2x to get the corresponding value of y.

You might be interested in
"helen is a u.s. citizen and cpa, who moved to london, england three years ago to work for a british company. this year, she spe
balu736 [363]

<u>Answer:</u>

<em>Exclusion upto  $103,900. Taxable amount is $6100.</em>

<u>Explanation:</u>

<em>US natives</em>, just as changeless occupants, are required to document ostracize expense forms with the government consistently paying little mind to where they dwell.

Alongside the <em>common assessment</em> form for money, numerous individuals are likewise required to present an arrival revealing resources which are held in ledgers in remote nations. Notwithstanding where you live, you should record <em>expat imposes in the US.</em>

3 0
3 years ago
The balance sheet of ABC reports total assets of $400,000 and $450,000 at the beginning and end of the year, respectively. The r
zimovet [89]

Answer:

ABC net income for the year is $42,500

Explanation:

Beginning total assets = $400,000

Ending total assets = $450,000

Average total assets = Beginning total assets + Ending total assets ÷ 2

= ($400,000 + $450,000) ÷ 2

= $425,000

Return on assets = 10%

Therefore,

Net income ÷ Average total assets = Return on assets

Net income = Return on assets × Average total assets

Net income = 0.1 × Average total assets

= $425,000 × 0.1

= $42,500

7 0
3 years ago
Which of the following refers to a process of developing distribution​ objectives, evaluating internal and external environmenta
german

Answer:

The correct answer is E. Distribution planning.

Explanation:

Distribution planning refers to the development of objectives from production to putting the product on the counter. This process includes the entire chain from when the raw material to produce is entered, and the logistics necessary to transport the product to the final supplier. This process must evaluate external and internal problems in order to make it as expeditious as possible and the times are met in order to avoid product shortages.

5 0
3 years ago
What is a downside of receiving a tax<br> refund?
Dmitry [639]

Answer:

It's a free loan to the government.

Explanation:

you're essentially giving the government a free loan with no interest.

4 0
3 years ago
If a company is using the accrual basis accounting method, when should it record its earned revenue?
BigorU [14]

Answer: b

Under the accrual basis of accounting, expenses are matched with the revenues related to it and/or are reported when the expense occurs, and not just when the cash is paid. The company should record its earned revenue when services are rendered. Payment may come at a later date.

4 0
3 years ago
Other questions:
  • The _______ was a foreign policy embarrassment for the United States during the Kennedy Administration. 
    5·2 answers
  • Bowflex, Inc., which manufactures total strength training systems for home use, obtained a patent on its power rods. Bowflex has
    13·1 answer
  • n the 1930s, what caused Canada to respond by raising its tax on goods imported from the United States? the Glass-Steagall Act t
    11·1 answer
  • PA8.
    7·1 answer
  • Martin is offered an investment where for $6000 today, he will receive $6180 in one year. He decides to borrow $6000 from the ba
    10·1 answer
  • You sell 10 cups of lemonade for 1.50 each. You spent $5.00 on lemons and $1.00 for a bag of ice. What is your profit or loss?
    14·2 answers
  • Leiff goes online to buy a new video game. He finds a site that currently has a promotion of 15% off on all orders over $50. Lei
    6·2 answers
  • If an efficient quantity of soybeans are produced and sold in the US market, then the market price of soybeans will be equal to:
    5·1 answer
  • Western Electric has 32,500 shares of common stock outstanding at a price per share of $80 and a rate of return of 12.95 percent
    7·1 answer
  • Account got deleted! Add me!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!