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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.

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Naomi invested $3,425 in an account that pays 3% simple annual interest. what was the total balance in the account after 15 year
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Which inequality is true when R = 4.6
Nookie1986 [14]

Answer:

A. 3R > 14

Step-by-step explanation:

Here R = 4.6

Now we have to check each options and find which is true.

3R > 14

Dividing both sides by 3, we get

R > 14/3

R > 4.67

Which is true.

All other options are not true.

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Hope this will help you.

5 0
3 years ago
Please answer these questions
puteri [66]

Answer:

Step-by-step explanation:

(1)The units for measuring angles are degrees and radians

A circle is 360° which is equal to 2π radians

1°=π/180

To convert angle measurement from degrees to radians multiply the value of degrees by π/180

(11)

To convert angle measurement from radians to degree multiply the value of radian by 180/π

(111)Yes it matters because you will use different formulas to calculate the length of the arc

For example , when the central angle is in radians, the formula to apply is;

⇒     S=rФ -------------where  r is the radius of circle and Ф is angle in radians and S is the arc length.

⇒   When the central angle value is in degrees , the formula to apply is

Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle

2. sin\frac{17\pi }{6} \\

we know π=180°

hence 17/6 π=?---------------cross multiply

\frac{17\pi }{6} *180\\\\\\=17\pi *30\\\\\\=510\pi

Apply trigonometry

Find sine 510°

Sine (510°-360°)= sine 150°

Sine 150° = sine 30° = 1/2-----------------2nd quadrant

This means sine 510° = 1/2

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Answer:

9

Step-by-step explanation:

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