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Alex_Xolod [135]
3 years ago
12

A consumer currently spends a given budget on two goods, X and Y, in such quantities that the marginal utility of X is 10 and th

e marginal utility of Y is 8. The unit priceof X is $5 and the unit price of Y is $2. The utility-maximizing rule suggests that this consumer should do what ?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

Answer: In that case, consumer need to buy more units of Y and less units of X.

Step-by-step explanation:

Since we have given that

Marginal utility of X = 10

Marginal utility of Y = 8

Unit price of X = $5

Unit price of Y = $2

So, we know that

\dfrac{MU_x}{P_x}=\dfrac{10}{5}=2

and

\dfrac{MU_y}{P_y}=\dfrac{8}{2}=4

Since \dfrac{MU_x}{P_x}

In that case, consumer need to buy more units of Y and less units of X.

<u>So, MU of y becomes lower and MU of x becomes higher until they becomes equal to each other to attain consumer's equilibrium.</u>

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How do you factor 5x^2b^2 + 14xb^2 -3b^2
Monica [59]

Answer:

5b^2(x-0.2)(x+3)

Step-by-step explanation:

The first thing that I noticed was that all of the terms had a common factor of b^2. You can therefore factor that out first:

5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

5b^2(x-0.2)(x+3)

Hope this helps!

3 0
3 years ago
What is the surface area of this right prism?<br><br> Enter your answer in the box.<br><br> cm²
fomenos

Answer:

<h2>the answer is</h2><h2>166 cm²</h2>

Step-by-step explanation:

we know that

surface area of the prism=2*area of the base+perimeter of the base*height

step 1

find the area of the base

area of the base=length* width

length=5 cm

width=4 cm

area of the base=5*4-----> 20 cm²

step 2

find the perimeter of the base

perimeter=2*[length+width]-----> 2*[5+4]----> 18 cm

step 3

height=7 cm

step 4

find the surface area

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2 years ago
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kvv77 [185]

Answer:

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Step-by-step explanation:

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3 years ago
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mojhsa [17]
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sleet_krkn [62]

Answer:

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Step-by-step explanation:

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