Mathematics, 26.10.2020 16:50 lolagrace06

Mr. Tran has $24,000 to invest, some in bonds and the rest in stocks. He has decided that the money invested in bonds must be at least twice as much as that in stocks. But the money invested in bonds must not be greater than $18,000. If the bonds earn 6%, and the stocks earn 8%, how much money should he invest in each to maximize profit?

Answers: 3

Show answers

Answers

Answer from: hollandhogenson

The maximize profit for is bond is $18000.

The maximize profit for stocks is $6000

Suppose that ; Mr. Tran invested x amount in bonds and y amount in stocks.

According to given question;

The bonds earn 6% and stocks earn 8% profit ,

Then profit could be ,

P = 0.06 + 0.08

Total amount = $24,000

So, the equation can be return as

x + y = $24000

The money invested in bonds at least twice the equation can be return as $x\geq 2y$

the money invested in the bonds not greater than will be

$x\leq $18000$

The linear programming would be shown below

P =0.06x + 0.08yx + y =$24000 $x\geq 2y$ $x\leq$ $18000

By the graphical method maximize the profit .

The critical points shown in the attached image is ($6000,$18000) & ($16000,$18000)

Thus the maximize profit for bond is $18000

The maximize profit for stocks is $6000.

For more details follow the link given below

Answer from: Jennifer312332

For bond it is $16,000

And, for stocks it is $8,000

Step-by-step explanation:

Let us assume the Tran invested x amount in bonds and y amount in stocks

So, the profit could be

P = 0.06x + 0.08y

The total amount is $24,000

so, the equation would be

x + y = $24,000

Now in the case of atleast twice, the equation would be

x ≥ 2y

And, in the case of not be greather than $18,000, the equation would be

x ≤ $18,000

The linear programming problem would be shown below:

maximum P = 0.06x + 0.08y

subjected to

x + y = $24,000

x ≥ 2y

x ≤ $18,000

x ≥0, y ≥0

Now use the graphical method, the critical point is ($18,000,$6,000) or ($6,000, $18,000)

In the case when we have to maximise the profits

For bond it is $16,000

And, for stocks it is $8,000

Mr. Tran has $24,000 to invest, some in bonds and the rest in stocks. He has decided that the money

Answer from: Quest

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2. incorrect.

Hans wanted to find the length of the hypotenuse of the triangle. which statement correctly identifi

Answer from: Quest

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)

40 points students are given 3 minutes to complete each multiple-choice question on a test and 8 min

Another question on Mathematics

Mathematics, 21.06.2019 16:30

One of the same side angles of two parallel lines is 20° smaller than the other one. find the measures of these two angles.

Answers: 3

Answer

Mathematics, 21.06.2019 19:00

How much orange juice do you need to make 2 servings of lemony orange slush?

Answers: 1

Answer

Mathematics, 21.06.2019 20:00

Someone answer asap for ! max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a. the median of max’s data is 250 b. more than half of the data points max recorded were 177 centimeters. c. a data point chosen at random is as likely to be above the mean as it is to be below the mean. d. every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

36x2 + 49y2 = 1,764 the foci are located at: (-√13, 0) and (√13,0) (0, -√13) and (0,√13) (-1, 0) and (1, 0)edit: the answer is (- the square root of 13, 0) and (the square root of 13, 0)

Answers: 1

Answer

You know the right answer?

Mr. Tran has $24,000 to invest, some in bonds and the rest in stocks. He has decided that the money...

Questions