Orbital Toys sells two types of sets of magnetic spheres, silver and brass. The store owner, Lucy Ball, pays $8 and $16 for each one set of silver magnetic spheres and brass magnetic spheres respectively. One set of silver magnetic spheres yields a profit of $3 while a set of brass magnetic spheres yields a profit of $5. Ms. Ball estimates that no more than 2000 sets of magnetic spheres will be sold every month and she does not plan to invest more than $20,000 in inventory of these sets. How many sets of each type of magnetic spheres should be stocked in order to maximize her total monthly profit? What is her maximum monthly profit?​

Answers

Answer 1

Answer:

The maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.

Step-by-step explanation:

In order to solve this you need to create a system of equations, with two values that will create the answer we are looking for, the thing that we don't know here is how many of each are we buying so the number of silver magnetic spheres will be represented by "y" and the brass magnetic spheres will be represented by "x".

So we know that x+y=2000

That's our first equation, our second would be the expense, which would be

8x+16y=20,000

We now just solve for one of them

x=(2000-y)

8(2000-y)+16y=20,000

16,000-8y+16y=20,000

8y=4,000

y=500

So we know that the maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.


Related Questions

Started at 20° and dropped 4° each minute

Answers

Answer:

hey mate I couldn't understand ur question.......plz recheck....

Answer:

What's the rest of the question?

Step-by-step explanation:

emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?

Answers

Answer:

25.5 per hour

Step-by-step explanation:

497.25/19.5

Answer:

497.25 devided by 19.5= $25.5 per hour

Step-by-step explanation:

Plz answer I will mark u brainiest!!!!

Answers

Answer:

65

Step-by-step explanation:

I need help please ​

Answers

Range is y so we set -5x = whatever number you pick from the range values listed, so

-5x = -5  making x=1

-5x = 0 making x=0

-5x = 10 making x=-2

-5x = 15  making x=-3

The domain is {1,0,-2,-3}

I need help ASAP. Thank you in advance! The choices are true & false.

Answers

The answer is b I think

What is the y-intercept of the line with equation 3y - 4x = 9?

Answers

Answer: (0, 3)

Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.

So we have 3y - 4(0) = 9.

This simplifies to 3y = 9.

Dividing both sides by 3, we find that y = 3.

So our y-intercept is 3 which we can write as the ordered pair (0, 3).

Whats the answers please

Answers

Answer: D,C,B

Step-by-step explanation:These are the answers

B,C, & D are the answers

2x^2+2=3x complete the square i need full explaination ASAP

Answers

Answer:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

Step-by-step explanation:

2x² + 2 = 3x

Subtract 3x from both sides so it equals 0:

2x² - 3x + 2 = 0

Divide both sides by 2:

x² - 3/2x + 1 = 0

Subtract 1 from both sides:

x² - 3/2x = -1

Take -3/2 and multiply it by 1/2 then square it:

(-3/2 • 1/2)²

9/16

Add this to both sides:

x² - 3/2x + 9/16 = -1 + 9/16

Rewrite the perfect square on the left and add the terms on the right:

(x - 3/4)² = -7/16

Square root both sides to get rid of the square:

x - 3/4 = ± √-7/16

Simplify the radical:

x - 3/4 = ± √7i/4

Add 3/4 to both sides:

x = 3/4 ± √7i/4

Your two solutions are:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

You can also convert to decimal if you need to (but I don’t recommend it):

x = 0.75 + 0.661438i

x = 0.75 - 0.661438i

Hope this helps!

plz help hurry ill give brainllest
Use the number line to determine where to plot each rational number.

4.2 is

StartFraction 7 over 8 EndFraction is

Negative StartFraction 9 over 5 EndFraction is

Answers

Answer:

Step-by-step explanation:

Use the number line to determine where to plot each rational number.

4.2 is

✔ between 4 and 5, closer to 4

StartFraction 7 over 8 EndFraction is

✔ between 0 and 1, closer to 1

Negative StartFraction 9 over 5 EndFraction is

✔ between -1 and -2, closer to -2

The number 4.2 is between the 4 and 5, also closer to 4, Agian the number 7/8 between 0 and 1, closer to 1, and -9/5 number between -1 and -2, closer to -2

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have numbers 4.2

The number 4.2 is between the 4 and 5, closer to 4

=7/8 = 0.875

Now 0.875 number between 0 and 1, closer to 1

-9/5 = 1.8

The 1.8 number between -1 and -2, closer to -2

Thus, We can conclude that number 4.2 is between the 4 and 5, closer to 4.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

One number is 2 times another. The sum of their reciprocals is 15 Find the numbers.

Answers

Answer:

7.5 i think

Step-by-step explanation:

John had a baseball cards until he gave x cards away. How many cards does he have now?

Answers

Answer:

I don’t think the question makes sense

are 3,000:18,000 and 10,000:32,000 equivalent

Answers

Answer:

No

Step-by-step explanation:

they are not equivalent

You have a coin with unknown probability p of coming up heads. You wish to generate a random variable which takes the values 0 and 1, each with probability 1/2. Assume 0 < p < 1. You adopt the following procedure. You start by flipping the coin twice. If both flips produce the same side of the coin, you start again. If the result of the first flip is different from the result of the second flip, you report the result of the first flip, and you are finished (this is a trick originally due to John von Neumann). (a) Show that, in this case, the probability of reporting heads is 1/2. (b) What is the expected number of flips you must make before you report a result?

Answers

Answer:

(a) Hence, the probability of reporting heads is 1/2.

(b) Therefore, the expected number of such trial is 1 / 2p (1 –p).

Step-by-step explanation:

Solution:

To generate a random variable takes value 0 and 1.

Let 0 < p <1,

A coin is flipped twice.

(a) Probability of reporting head is 1/2.

The result of two toss is either HT or TH.

In this case we used conditional property, Given that you got either HT or TH,

Probability of occurring head or tail:

P (1ST = H| HT or TH]

= P (H) / P (HT or TH)

= P (HT) / P (HT or TH)

= P (1-P) / P (1-P) + (1-P)P

= P (1-P) / 2P (1-P)

=1/2

Hence, the probability of reporting heads is 1/2.

(b) Expected number of flip before report a result.

The probability of reporting a result on each trial is:

P (HT or TH)

=P (HT) + P (TH)

=P (1-P) + (1 –P) P

= 2P (1 –P)

Since, E(X) = 1 / P

Therefore, the expected number of such trial is 1 / 2p (1 –p).

What is the estimated sum of 503, 472, 486, 499, 539, and 522?

Answers

Answer:

3021

Step-by-step explanation:

Answer:

Your answer is: Estimated is: 3,000

The real answer was:

3,021.

Step-by-step explanation:

Hope this helped : )

Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *

y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4

Answers

9514 1404 393

Answer:

  y = 2x - 4

Step-by-step explanation:

You want an equation with an x-coefficient that is not 1/2.

  2/4 = 0.5 = 1/2

so, the first three answer choices don't meet problem requirements.

The line with equation ...

  y = 2x -4

is not parallel to y = 1/2x -6.

2.6586 divided by 0.633

Answers

Answer:

4.2

Step-by-step explanation:

The answer would 4.2
2.6586 divided by 0.633 equals 4.2

Convert 6 feet to meters.
Conversion table:
1 meter = 3.281 feet

Answers

Answer:

6 feet = 1.8288 meters

Step-by-step explanation:

Hope this helps and have a phenominal day!

I have no idea how to do this

Answers

Answer:

it's ok!! thats why you have us!! we're here to help!

13/z

have a nice day!! also hope this helps!

Step-by-step explanation:

Answer:

13 on top

Z on the bottom

Step-by-step explanation:

6 plus 7 is 13

Can someone help me with this please

Answers

Okay I will help you.

9 7/9 simplified and in mixed number form.

PLEASE MARK ME BRAINLIEST IF I'M RIGHT!! THANKS

solve the system of equations
y=x-2
x+y=10

Answers

Answer:

Step-by-step explanation:

x + x - 2 = 10

2x - 2 = 10

2x = 12

x = 6

y = 6 -2

y = 4

(6,4)

pls help will give brainliest

Answers

Answer:

14 units

Step-by-step explanation:

Answer:

[tex]\sqrt{116[/tex] ( award branliest :) )

Step-by-step explanation:

When you insert both points into the distance formula which is

d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]  you arrive at the final answer of [tex]\sqrt{116}[/tex]

UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01

Answers

Answer:

There is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

Step-by-step explanation:

In this case we need to test whether the mean starting salary of a graduate with a bachelor in economics is $48,500.

The information provided are:

[tex]\bar x=\$43350\\s=\$15000\\n=50\\\alpha =0.01[/tex]

The hypothesis for the test can be defined as follows:

H₀: The mean starting salary of a graduate with a bachelor in economics is $48,500, i.e. μ = 48500.

Hₐ: The mean starting salary of a graduate with a bachelor in economics is different from $48,500, i.e. μ ≠ 48500.

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

 [tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}[/tex]

   [tex]=\frac{43350-48500}{15000/\sqrt{50}}\\\\=-2.42773\\\\\approx -2.43[/tex]

Thus, the test statistic value is -2.43.

Compute the p-value of the test as follows:

 [tex]p-value=2\times P(t_{49}>-2.43)=0.0188[/tex]

*Use a t-table.

Thus, the p-value of the test is 0.0188.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.0188 > α = 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

Help:(
At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two
switches are used in a device, what is the probability that both switches are good?
0.9604
b. 0.02
C. 0.98
d. 49

Answers

Answer:

A) 0.9604

Step-by-step explanation:

Because it is.

Chan Hee bought 6.4 pounds of coffee that cost $9.65 per pound. How much did he spend on coffee
?

Answers

Answer: $61.76

Step-by-step explanation:

Multiply the price of coffee ($9.65) times the weight (6.4)

=$61.76

Answer:

50.18

Step-by-step explanation:

.

Evaluate 64 to the power of 1/2 x 10 to the power of -2

Answers

the answer should be 2/25 or 0.08

How do you do these questions and explanations please?

Answers

Step-by-step explanation:

1. Standard error is SE = σ / √n.  As n increases, SE decreases.

2. Degrees of freedom is d = n − 1.  As n increases, d increases.

3. The t statistic is t = (x − μ) / SE.  As SE decreases, t increases.

4. As n increases, t* decreases and approaches z*.

5. As the t statistic increases, the P-value decreases.

6. Margin of error is t* times SE.  As n increases, MoE decreases.

7. The width of the confidence interval is 2 MoE.  As MoE decreases, the width of the confidence interval decreases.

10x - 6 = 6x + 6
i need the answer but i think its 3

Answers

Answer:

= 3

Step-by-step explanation:

Add  6 to both sides of the equation 10 − 6 = 6 + 6

10x-6=6x+6 10x−6=6x+6

Simplify Add the numbers Add the numbers again 10 = 6 + 12

Subtract 6 from both sides of the equation

10 = 6 + 12

10−6=6+12−6

Simplify

Combine like terms

Combine like terms again

4 = 12

Divide both sides of the equation by the same term

4=12

[tex]\frac{4x}{4}[/tex] =[tex]\frac{12}{4}[/tex]

Simplify Cancel terms that are in both the numerator and denominator then Divide the numbers.

x = 3

Instructions
All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4.b)
(2, 2)
What is the slope

Answers

where is the picture?


Write a pair of numbers whose greatest common factor is 10 will give brainlist

Answers

Answer:

20 and 10

Step-by-step explanation:

Answer:

20 ,10

Step-by-step explanation:

hope it helps

Can you guys help me with this geometry problem tysm

Answers

Answer:

m∠UVW = 12°

m∠XYZ = 78°

Step-by-step explanation:

m∠UVW = (x - 10)°

m∠XYZ = (4x - 10)°

∠UVW + ∠XYZ = 90°

(x - 10) + (4x - 10) = 90

   x - 10 + 4x - 10 = 90

               5x - 20 = 90

                       5x = 110

                         x = 22

m∠UVW = (22 - 10)° = 12°

m∠XYZ = (4(22) - 10)° = 78°

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