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
marta [7]
3 years ago
8

If your income is $18.00 and the prices of x and y are $4.00 and $2.00, respectively, what quantities of each will you purchase

to maximize utility?
Mathematics
1 answer:
boyakko [2]3 years ago
6 0

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.

You might be interested in
a company pays its salespeople $2,000 a month and a commission of 18% of their total sales (T). which of the following equations
SSSSS [86.1K]

Answer:

2,360

Step-by-step explanation:

18% of 2,000 is 360

(0.18)*(2,000)=360

2,000 + 360 = 2,360

7 0
3 years ago
Smallville High School scored more than 30 points in their last football game entirely from safeties and field goals. (In
Reika [66]

Inequalities help us to compare two unequal expressions. The inequality for this scenario in standard form is 2x + 3y > 30.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the safety counts be represented by x, while the field goal count is represented by y.

Part A: The inequality for this scenario in standard form.

2x + 3y > 30

Part B: The inequality in slope-intercept form.

2x + 3y > 30

3y > 30 - 2x

y > 10 - (2/3)x

y < (2/3)x - 10

PartC: The inequality is represented below.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

7 0
2 years ago
the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initi
anyanavicka [17]

Answer:

This means that the correct initial value problem for the population p(t) as a function of time is is P(0) = 1000

Step-by-step explanation:

The population of a town increases at a rate proportional to its population:

This means that this situation is modeled by the following differential equation:

\frac{dP}{dt} = kP

In which k is the growth rate.

By separation of variables, the solution is given by:

P(t) = P(0)e^{kt}

In which P(0) is the initial population.

Initial population of 1000.

This means that the correct initial value problem for the population p(t) as a function of time is is P(0) = 1000

5 0
3 years ago
Which of these is the algebraic expression for "5 less than 6 times some number"?
Pachacha [2.7K]
The answer for the algebraic expression is 5-6t
7 0
2 years ago
Aimi is making Valentine’s Day cards for everyone in her class. She plans to use a whole sheet of paper for each of her 6 closes
DaniilM [7]
34 - 6 = 28
28 x 8 = 224

After making the 6 whole sheet of paper cards for her closest friends Aimi will have 28 pieces of paper left.

Since she wants to use 1/8 of a sheet per valentine (think of it as one piece of paper can make 8 valentines) you can do 28 pieces of paper multiplied by 8 which gives you 224 valentines. 
8 0
3 years ago
Other questions:
  • City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of
    12·1 answer
  • Natalie went to the shoe store and bought two pairs of sneakers. One pair was $35.60, and the other was $49.95. If she has $100.
    13·2 answers
  • HELP PLEASE!!! How do I solve this?
    8·2 answers
  • 6x minus 2y equals 24
    13·1 answer
  • If you have 3 quarters, 5 dimes, and 2 nickels in
    13·1 answer
  • Use the substitution method to find the value of y in the given system of equations y=2x+5 x+y=4
    5·1 answer
  • 3 people can deliver 1000 letters in 30 minutes.
    11·1 answer
  • Is there a series of rigid transformations that could map TriangleKLP to TriangleQNM? If so, which transformations? No, Triangle
    11·2 answers
  • What is the radius, in centimeter, of a circle that has a circumference of 16π centimeters? A. 8 B. 16 C.32 D.6432 D
    10·2 answers
  • Write an equation for the line that passes through the given points (2,3), (3,7)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!