Mr. Jones has to invest in three types of​ stocks, low-risk,​ medium-risk, and​ high-risk. He invests according to three principles. The amount invested in​ low-risk stocks will be at most more than the amount invested in​ medium-risk stocks. At least will be invested in​ low- and​ medium-risk stocks. No more than will be invested in​ medium- and​ high-risk stocks. The expected yields are ​% for​ low-risk stocks, ​% for​ medium-risk stocks, and ​% for​ high-risk stocks. How much money should Mr. Jones invest in each type of stock to maximize his total expected​ yield?

Answers

Answer 1

Answer:

Since the numbers are missing, I looked for a similar question:

Mr. Jones has $9000 to invest in three types of stocks: low-risk, medium-risk and high-risk. He invests according to the following rules: the amount invested in low-risk stocks will be at most $1000 more than the amount invested in medium-risk stocks. At least $7000 will be invested in a combination of low- and medium-risk stocks. No more than $7000 will be invested in a combination of medium- and high-risk stocks. The expected annual returns are 6% for low-risk stocks, 7% for medium-risk stocks, and 8% for high-risk stocks. How much should he invest in each type of stock to maximize his total expected yield?

let:

L = low risk stocks

M = medium risk stocks

H = high risk stocks  

maximize 0.06L + 0.07M + 0.08H

L + M + H ≤ 9000

L ≥ M + 1000

L + M ≥ 7000

M + H ≤ 7000

using solver, the optimal solution = 4,000L + 3,000M + 2,000H , which yields a maximum profit = $610

Mr. Jones should invest $4,000 in low risk stocks, $3,000 in medium risk stocks and $2,000 in high risk stocks.


Related Questions

What is the slope of a line perpendicular to the line y=12/5x+4

Answers

Answer:

x = -5/3

Step-by-step explanation:

DELILAH HAS OF A CUP OF SPRINKLES THAT SHE
PLANS TO DECORATE CUPCAKES WITH. IF EACH CUPCAKE
SETS T OF A CUP OF SPRINKLES, HOW MANY
CUPCAKES WILL SHE BE ABLE TO DECORATE?

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Answer:

2.9 cupcakes

Step-by-step explanation:

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Round 3,689,423 to the nearest hundred thousand.

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Answer:

your answer would be 3,700,000

Step-by-step explanation:

hope it helps

6299 round to neaRest hundred

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Answer:

6300

Step-by-step explanation:

plz give me a harder answer next time :)

Round 5,896,487 to the
nearest ten-thousand.

Answers

Answer:12

Step-by-step explanation:

u half to round it to the nerest hundreths and than multiplye it by 4

Answer: 5,900,000

Step-by-step explanation: 5,900,000 ~ 5,896,487 ( 800,000) Round it ~ = 5,900,000

On a map,1/2 inch represents 50 miles. how many miles per inch are represented on the map? PLEASE HELP! My teacher will kill me!

Answers

Answer:

WEll first show the MAP. Then I will help.

Step-by-step explanation:

Answer:

100 miles

Step-by-step explanation:

Half an inch is.. half of an inch. If you want to find out how many miles per inch there are, multiply the amount of miles for every half inch (50) by 2.

Round 43.586 to the nearest tenth. Pleaseee help ASAP

Answers

Answer:

43.6

Step-by-step explanation:

I hope this helps you :)

Answer:

43.59

Step-by-step explanation:

43.59 because it is

I need some help understanding this​

Answers

Answer:

????what is the question

determine the annual amount that an investor would earn on a rental property that pays $850.00 per month.

Answers

Answer:10,200

Step-by-step explanation:

Katherine is a waitress at a restaurant. Each day she works, Katherine will make a
guaranteed wage of $20, however the additional amount that Katherine earns from
tips depends on the number of tables she waits on that day. From past experience,
Katherine noticed that she will get about $7 in tips for each table she waits on. How
much would Katherine expect to earn in a day on which she waits on 11 tables? How
much would Katherine expect to make in a day when waiting on t tables?
Earnings for 11 tables:
Earnings for t tables:





What is the earings for t tables?

Answers

Answer:

$97

Step-by-step explanation:

She makes $97 for 11 tables. The equation is 7t+20. Hope this helped :)

100,699 rounded to the nearest thousand

Answers

Answer:

I believe it would be 101,000

Step-by-step explanation:

It would be 101,000 because 6 is closer to the next #

what is the answer? pls help

Answers

Answer:

-2

Step-by-step explanation:

The formula for finding the slope is y2-y1 divided by x2-x1. You can use any two points.

So,

220-240 divided by 10-0= -20/10= -2

Hope this helps!!!

Solve. Write your answer without exponents.
3^0 x 3^4

Answers

Step-by-step explanation:

3^0 is 1 and 3^4 is 81

I think you can solve it now

Hope this helps <3

how many days are in 2 years + 18 months?
please help!!!!

Answers

Answer:

1277

Step-by-step explanation:

Answer:

1278.04

Step-by-step explanation:

Why? In 1 year there are approximately 365.24 days, but in 1 month there are approx 30.42 days.

So 365.24 × 2 =                   730.48

And 30.42 × 18 =                 547.56   (+

                                    -----------------------

                                           1278.04

Quadrilateral ARMY is rotated 90° about the origin.

Answers

Answer:

what's the question??

What is the maximum of the numbers listed below?
5.2, 5.4, 4.9, 4.4, 5.1

Answers

Answer:

5.4

Step-by-step explanation:

5.2, 5.4, 4.9, 4.4, 5.1

4.4, 4.9, 5.1, 5.2, 5.4

5.4 is the maximum

Hope this helped!

The answer is 5.4. Lowest is 4.4

Find the lcm of 2,3,7 and tell me how u got ur answer
if its CORRECT with ur reasoning ill give brainlest

Answers

Answer:

42

Step-by-step explanation:

who wants my girl? if yes put it down​

Answers

Answer:

Already stole herrrrrr ahahah

Step-by-step explanation:

Answer:

nah good luck tho hahaha

what is 276,485 rounded to the nearest hundred thousand?plzzzzzz answer

Answers

Answer:

300,000

Step-by-step explanation:

The answer is 300,000
The reason behind this is because a number that is 5 and above should be rounded up and anything 4 and below should be rounded down

Solve for x in the equation.

Answers

Answer:

The solution is [tex]\displaystyle x=1\pm \sqrt{47}[/tex]. Fourth option

Explanation:

Solve for x:

[tex]2x^2+3x-7=x^2+5x+39[/tex]

Move all the terms from the right to the left side of the equation, a zero in the right side:

[tex]2x^2+3x-7-x^2-5x-39=0[/tex]

Join all like terms:

[tex]x^2-2x-46=0[/tex]

The general form of the quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

Solve the quadratic equation by using the formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

[tex]\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}[/tex]

[tex]\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}[/tex]

[tex]\displaystyle x=\frac{2\pm \sqrt{188}}{2}[/tex]

Since 188=4*47

[tex]\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}[/tex]

Take the square root of 4:

[tex]\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}[/tex]

Divide by 2:

[tex]\displaystyle x=1\pm \sqrt{47}[/tex]

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

The data below represent commute times​ (in minutes) and scores on a​ well-being survey. Complete parts​ (a) through​ (d) below. Commute Time​ (minutes), x 5 15 30 35 50 84 105 ​Well-Being Index​ Score, y 69.1 67.8 66.2 65.9 64.6 62.6 60.2 ​(a) Find the​ least-squares regression line treating the commute​ time, x, as the explanatory variable and the index​ score, y, as the response variable. y=negative 0.083−0.083x+69.04069.040 ​(Round to three decimal places as​ needed.) ​(b) Interpret the slope and​ y-intercept, if appropriate. Interpret the slope. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. For an index score of​ zero, the commute time is predicted to be nothing minutes. ​(Round to three decimal places as​ needed.) B. For every unit increase in index​ score, the commute time falls by nothing​, on average. ​(Round to three decimal places as​ needed.) C. For a commute time of zero​ minutes, the index score is predicted to be nothing. ​(Round to three decimal places as​ needed.) D. For every unit increase in commute​ time, the index score falls by nothing​, on average. ​(Round to three decimal places as​ needed.) E. It is not appropriate to interpret the slope.

Answers

Answer:

(a) [tex]\hat y=69.04-0.083\cdot x[/tex]

(b) D. For every unit increase in commute​ time, the index score falls by 0.083​, on average.

Step-by-step explanation:

(a)

Form the least-squares regression line using Excel as follows:

Go to Data → Data Analysis → Regression

A dialog box will open.

Select the X and Y variable.

Press Ok.

The regression output is attached below.

The least-squares regression line is:

[tex]\hat y=69.04-0.083\cdot x[/tex]

(b)

The slope of a regression line is the average rate of change in the dependent variable (y) with 1 unit change in the independent variable (x).

Here the slope value is -0.083. This value implies that with 1 minute change in the commute times the Well-Being Index​ Score falls by 0.083 units.

The intercept of a regression line is the average value of the dependent variable (y) when the independent variable (x) value is 0.

Here, the intercept value is 69.04. This value implies that for a person with commute time 0, their Well-Being Index​ Score is 69.04.

The correct option is:

D. For every unit increase in commute​ time, the index score falls by 0.083​, on average.

Help me pls will give out points

Answers

[tex]y = ab^{x} [/tex]

[tex]y = 3 \times {4}^{x} [/tex]

"a" is the initial amount (3), and "b" is the growth factor (4).

To find "b" plug in the knowns into the exponential function equation and solve.

[tex]y = ab^{x} [/tex]

[tex]48 = 3 \times {b}^{2} [/tex]

[tex]16 = {b}^{2} [/tex]

[tex] \sqrt{16} = b[/tex]

[tex]b = 4[/tex]

3. What is the slope of a line perpendicular to the line y =-2/3
x+12

Answers

Answer:

Slope of line (i) = 1.5

Step-by-step explanation:

Line (i) is perpendicular to;Line (ii) whose equation is y = [tex]-\frac{2}{3} x + 12[/tex]

The slope of line (ii) = [tex]-\frac{2}{3}[/tex]

* Mathematics rule: The product of slopes of two perpendicular lines = -1

∴ The slope of line (i) = -1 ÷ [tex]-\frac{2}{3}[/tex] = 3/2 = 1.5

Maurice worked 15 hours last week at his job and made $150. If Maurice worked 25 hours this week, how much did he make?

Answers

Answer:

Step-by-step explanation:

When Maurice works 15hrs, he makes $150.

So first you have to find out how much money he makes each hour.

To do this you do :

Money earnt divided by hour many hours he worked.

Money made per hour = [tex]\frac{150}{15}[/tex]  = $10

So since Maurice makes $10 every hour,

If her works 25 hours, it will be $10 x 25 = ?

Wait i got a question is that little star suppose to be this × or this ÷

Answers

Answer:

You're really gonna sit there and just focus on your life all day ... And the section was tiny—it covered the same amount of ...

Step-by-step explanation:

make me as brain liest

What is the value of the expression below when z = 10 and w = 7
10z + 9w

Answers

Answer:

163

Step-by-step explanation:

10(10)+9(7)=

100+63=163

Answer:

163

Step-by-step explanation:

If z=10 and w=7.

10z+9w [writing the equation again for reference purposes]

10(10) + 9(7) [we substitute each variable with its defined value]

100 + 9(7) [we multiply 10 and 10, aka 10 and z]

100 + 63 [we multiple 9 and 7, aka 9 and w]

163 [we add 100 and 63 to get our final answer]

Please help i will give brainliest

Answers

Answer:

Slope= -4

Y-intercept= 50

Y=-4x+50

The solution for the equation 1,057=b+670 is

Answers

Answer:

b = 387

Step-by-step explanation:

1057 - 670 = 387

First isolate B by putting the 670 to the other side of the equal sign. However, in order for the equation to remain equal, you must subtract 670 from both sides.

1057 - 670 = B + 670 - 670

387 = B

The ratio between the ages of Amar and Kabir is 3:4 at present.after 4 years ago their ages would be 7:9.ratio of ages of Kabir and amar after 20 years from now?​

Answers

Answer:

[tex]Ratio = 11:13[/tex]

Step-by-step explanation:

Represent Amar age with x

Represent Kabir age with y

So, we have:

Presently

[tex]x : y = 3 : 4[/tex]

After 4 years

[tex]x + 4 : y + 4 = 7 : 9[/tex]

Simplify both ratios:

[tex]x : y = 3 : 4[/tex]

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

Cross Multiply

[tex]4x = 3y[/tex]

Make x the subject

[tex]x = \frac{3}{4}y[/tex]

[tex]x + 4 : y + 4 = 7 : 9[/tex]

[tex]\frac{x + 4}{y + 4} = \frac{7}{9}[/tex]

Cross Multiply

[tex]7(y+4) = 9(x+4)[/tex]

Open Brackets

[tex]7y + 28 = 9x + 36[/tex]

Collect Like Terms

[tex]9x = 7y + 28 - 36[/tex]

[tex]9x = 7y -8[/tex]

Substitute [tex]\frac{3}{4}y[/tex] for x in [tex]9x = 7y -8[/tex]

[tex]9(\frac{3}{4}y) = 7y - 8[/tex]

[tex]\frac{27}{4}y = 7y - 8[/tex]

[tex]6.75y = 7y - 8[/tex]

[tex]6.75y - 7y = - 8[/tex]

[tex]-0.25y = - 8[/tex]

[tex]y = -8/-0.25[/tex]

[tex]y = 32[/tex]

Substitute 32 for y in [tex]x = \frac{3}{4}y[/tex]

[tex]x = \frac{3}{4} * 32[/tex]

[tex]x = \frac{3* 32}{4}[/tex]

[tex]x = \frac{96}{4}[/tex]

[tex]x = 24[/tex]

So, in 20 years time, the ratio of the ages would be:

[tex]x + 20 : y + 20[/tex]

This gives

[tex]24 + 20 : 32 + 20[/tex]

[tex]44 : 52[/tex]

Divide by 4

[tex]44/4:52/4[/tex]

[tex]11:13[/tex]

Hence, the Ratio is

[tex]Ratio = 11:13[/tex]

Which problem can be represented by the model?

Help

Answers

By using the principles of fractions, we can find out that the models represent the problem 3/4 × 3.

Define fractions?

A number that represents a percentage of a whole serves as the mathematical representation of a fraction. Fractions can be thought of as any number, any amount, or a portion of an object.

A pizza that has been cut into eight equal pieces. The notation 1/8, which denotes that we are speaking of one portion out of 8 equally sized portions, can be used to refer to a single portion of the pizza.

It indicates one equal part in eight. Furthermore, it can be written as: 1/8

It will be written as 2/8 if we choose to have 2 portions of the pizza. Similar to how we would write 6/8 as a fraction if we were referring to 6 portions of this pizza.

Now here in the question, 3 parts are selected out of 4.

So that suggests it is 3/4.

As there are 3 circular models, so the representation will be as:

3/4 × 3.

To know more about fractions, visit:

https://brainly.com/question/10354322

#SPJ1

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