Question

Fouz consumers only oranges and bananas. Her only source of income is her initial endow- ment of 20 units of oranges and 10 units of bananas. She prefers to consume them in a proportion of 2 units of bananas per 1 unit of orange. Suppose the price of bananas 4$ while the price of oranges of 2$ per unit of each fruit. what will be her consumption bundle?

216

likes
1078 views

Answer to a math question Fouz consumers only oranges and bananas. Her only source of income is her initial endow- ment of 20 units of oranges and 10 units of bananas. She prefers to consume them in a proportion of 2 units of bananas per 1 unit of orange. Suppose the price of bananas 4$ while the price of oranges of 2$ per unit of each fruit. what will be her consumption bundle?

Expert avatar
Hank
4.8
98 Answers
\textbf{Total Revenue Calculation}:
Given:
- Initial endowment of oranges = 20 units
- Initial endowment of bananas = 10 units
- Price of oranges = $2 per unit
- Price of bananas = $4 per unit

To find total revenue:
Revenue from selling oranges = 20 units * $2 per unit = $40
Revenue from selling bananas = 10 units * $4 per unit = $40
Total revenue = $40 (oranges) + $40 (bananas) = $80

Let x be the number of units of oranges Fouz consumes.
According to her consumption preference ratio of 2:1, she consumes 2 units of bananas for every 1 unit of oranges, so bananas consumed = 2x.

\textbf{Cost Equation based on Total Revenue}:
Cost of oranges + Cost of bananas = Total revenue
2x * $2 + 2x * $4 = $80
4x + 8x = 80
12x = 80
x = \frac{80}{12}
x = \frac{20}{3}

\textbf{Answer}:
Fouz will consume \frac{20}{3} units of oranges and \frac{40}{3} units of bananas.

Frequently asked questions (FAQs)
What is the equation for finding the area of a rectangle, given its length (L) and width (W)?
+
Question: How many different ways can a committee of 4 members be formed from a group of 10 people?
+
What is the surface area of a cylinder with a radius of 4 and height of 8?
+
New questions in Mathematics
A consulting company charges a fee of $50 per hour for consulting. If their monthly fixed costs are $1,000 and they want to make a monthly profit of $2,500, how many consulting hours should they bill per month?
4.2x10^_6 convert to standard notation
3x+2/2x-1 + 3+x/2x-1 - 3x-2/2x-1
-27=-7u 5(u-3)
how many arrangements can be made of 4 letters chosen from the letters of the world ABSOLUTE in which the S and U appear together
A mutual fund manager has a $350 million portfolio with a beta of 1.10. The risk-free rate is 3.5%, and the market risk premium is 6.00%. The manager expects to receive an additional $150 million which she plans to invest in several different stocks. After investing the additional funds, she wants to reduce the portfolio’s risk level so that once the additional funds are invested the portfolio’s required return will be 9.20%. What must the average beta of the new stocks added to the portfolio be (not the new portfolio’s beta) to achieve the desired required rate of return?
How much does the average college student spend on food per month? A random sample of 50 college students showed a sample mean $670 with a standard deviation $80. Obtain the 95% confidence interval for the amount college students spend on food per month.
User One of the applications of the derivative of a function is its use in Physics, where a function that at every instant t associates the number s(t), this function s is called the clockwise function of the movement. By deriving the time function we obtain the velocity function at time t, denoted by v(t). A body has a time function that determines its position in meters at time t as S(t)=t.³√t+2.t . Present the speed of this body at time t = 8 s.
A teacher has 25 red and yellow counters altogether. She has 4 times as many red counters than yellow counters. How many yellow counters does the teacher have?
A tree cast a shadow of 26 meters when the angle of evaluation of the sum is 24°. Find the height of the tree to the nearest meter
Let f and g be defined in R and suppose that there exists M > 0 such that |f(x) − f(p)| ≤ M|g(x) − g(p)|, for all x. Prove that if g is continuous in p, then f will also be continuous in p.
Which statement best describes the key changes in perspectives on inclusion? An inclusive program must consider the unique experiences of every child and family as well as the child's strengths and needs. There is a shift in thinking about individual programs as "inclusive programs" to thinking about inclusion as something that reflects the cultural influence of the family. There is a greater emphasis on barriers to full participation and the acknowledgement that all children are unique and must be fully and meaningfully engaged in a program. In an inclusive program all participants are accepted by their peers and other members of the community.
Write the detailed definition of a supply chain/logistics related maximization problem with 8 variables and 6 constraints. Each constraint should have at least 6 variables. Each constraint should have At least 5 variables will have a value greater than zero in the resulting solution. Variables may have decimal values. Type of equations is less than equal. Numbers and types of variables and constraints are important and strict. Model the problem and verify that is feasible, bounded and have at least 5 variables are nonzero.
What is the value of f(-3) for the function X squared+5x-8=
suppose a city with population 80,000 has been growing at a rate of 8% per year if this rate continues find the population of this city in 10 years
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.
Write decimal as the fraction 81/125 simplified
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
Find the distance from the point (2,-1) to the line 2x-5y+10=0