A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit. y=-6x^2+190x-826

Answers

Answer 1

Answer:

The maximum profit is $854

Step-by-step explanation:

Profit is the difference between the revenue and the cost price of an item. It is given by:

Profit = selling price - cost price

Since x represent the profit made by the company, is related to the selling price of each widget, x and it is given by the formula:

y = -3x² + 155x - 1148

At maximum profit, dy/dx = 0, hence:

dy/dx = -6x + 155

0 = -6x + 155

6x = 155

x = 25.83

The maximum profit is at gotten when the selling price of each widget is 25.83. Hence:

y = -3(25.83)² - 155(25.83) - 1148

y = $854

Therefore the maximum profit is $854


Related Questions

Mia gets 15 out of 18 questions correct on a test. What is the ratio of correct
answers to the total number on the test in simplest form?

Answers

Answer:

5/6

Step-by-step explanation:

it's a 15:18 ratio, just needs simplification

one student we wrote the expression 17 * 102 as 17(100+2). then she simplified to get the expression 1700+34.​

Answers

Answer:

Step-by-step explanation:

One student rewrote the expression 17 * 102 as 17(100 + 2). Then simplified to get the expression 1700 + 34.

a. Are the three expressions equivalent (17 * 102, 17(100 + 2), and 1700 + 34)?

Yes, they are.

Check your answer:

17 * 102 = 1734

17(100 + 2)

17(100) + 17 * 2

1700 + 34 = 1734

1700 + 34 = 1734

b. What property of numbers does this demonstrate?

This expression demonstrates the commutative and distributive properties of numbers.

Hope this helps!

Dennis biked 8 km and Patrick ran 6,172 m. Who traveled farther and by how much?

Answers

Answer:

Dennis : 4.971 miles

Patrick : 3.835 miles

Dennis ran 1.136 miles farther

How to find the surface area of a rectangular prism?.

Answers

Answer;

A=2(W·l+h·l+h·w)

Step-by-step explanation:

multiply all the numbers by eachother  and multiply by 2

· is multiply

For example:

length-12

height-5

width-7

12×5+5×7+7×12=179

179×2=358

find the number that makes the ratio equivalent to 3:8 6:_

Answers

Answer:

6:16

Step-by-step explanation:

To find the answer you do 3x_=6 which the missing number is 2, so you do 8x2=16 because whatever you multiply the first number by you have to do the same to the second number in fractions, ratios, etc.

Please help
brainliest for correct answer

Answers

x + y = 6

y = 6 - x

substitute the x values to find the value of y

x ║ -2 ║ -1 ║ 0 ║ 1 ║ 2 ║ 3

========================

y ║ 8  ║ 7  ║ 6 ║ 5 ║ 4 ║ 3

Graph:

A triangle has two sides of length 19 and 18. What is the largest possible whole-number length for the third side?

Answers

Answer:

36

Step-by-step explanation:

For the largest possible whole number length, this means it would have to be the longest side. Let's let this third side have a length of x.

By the triangle inequality theorem, 19+18>x, which means x<37.

So, the largest possible whole number length for the third side is 36.

Answer the question based on the graph

What is the Y-intercept?

What is the asymptote?

Answers

the y-intercept is 2.

You can buy jars of the same jam in two sizes.

Answers

Step-by-step explanation:

Large Jar 540g for 2.16

540/2.16 = 250

(Always divide by the smallest ratio)

= 250g per 1£

Small Jar 360g for 1.37

360/1.37=262.77g

= 262.77g per 1£

Small Jar is the best value for money, more grams, same price.


GUYS I NEED HELP ASAP IVE BEEN STUCK ON THIS MATH PROBLEM
The cylinder shown has a volume of 695 cubic inches.
What is the radius of the​ cylinder?

Answers

Step-by-step explanation:

[tex]volume = \pi {r}^{2}h[/tex]

[tex]695 = 3.14 \times {r}^{2} \times 11.5[/tex]

[tex] {r}^{2} = 19.2[/tex]

[tex]r = \sqrt{19.2} = 4.3[/tex]

What is the displacement current between the plates if the separation of the plates is r and they have an area of a?

Answers

A displacement current simply means the limited shift of electric components which occur when the voltage is applied to the capacitor.

What is displacement current?

Your information is incomplete. Therefore, an overview of the displacement current will be given.

A displacement current simply defines the terms of the rate of change of the electric displacement field.

It's the current due to the changing of the electric field that is inside the plate of the capacitor.

Learn more about displacement on:

https://brainly.com/question/321442

Help please and thank you

20 possible points if anyone gets this correct

Answers

Answer:

13

Step-by-step explanation:

I counted the X's of 1-3 and got 13 in total.

(Let me know if that was correct) :)

Answer:

13 students

Step-by-step explanation:

To solve this you count the x's above 1, 2, and three.

I hope this helps!!

F(X)= -x^2 + 10x - 12

Answers

Answer:

(0, -22)

Step-by-step explanation:

       The y-intercept is the value of y when x is 0,

f(x) = -x² + 10x - 22

f(0) = -(0)² + 10(0) - 22

f(0) = - 22

                  The y-intercept is -22 at point (0, -22).

-> We can also see this when graphing, please see attached.

Note: If you want me to solve for f(x) = -x² + 10x - 12 as you wrote in text and not f(x) = -x² + 10x - 22 as the picture shows, let me know.

The costs for a new publishing company can be classified as fixed costs, such as rent and insurance, or variable costs, such as materials and labor. Fixed costs are constant, while variable costs change as the number of items produced changes. The graph shows the weekly variable costs based on the number of books produced.

a. If weekly fixed costs are $300, sketch a graph showing total expenses for the week.
b. Find the total cost of producing 75 books in a week.

Answers

Answer:

a) As weekly costs are fixed at $300, we simply need to shift the function up 300 units. (the new function is shown in blue on the attached graph).

b) Reading from the (blue) graph, the total cost of producing 75 books in a week is $600.

fixed cost + variable cost = $300 + $300 = $600

The area of a circle is 100π ft². What is the circumference, in feet? express your answer in terms of \piπ

Answers

Answer:

20π ft

Step-by-step explanation:

To find the circumference of the circle given its area, first find its radius.

[tex]\textcolor{steelblue}{\boxed{\text{Area of circle =}\pi {r}^{2} }}[/tex]

Substitute given area into the formula:

100π= πr²

Divide both sides by π:

100= r²

Square root both sides:

[tex]r = \sqrt{100} [/tex]

r= 10 ft

[tex]\textcolor{steelblue}{\boxed{\text{Circumference of circle = }2\pi {r}}}[/tex]

Since we have found the value of the radius, we can substitute r= 10 into the formula above to find the circumference.

Circumference of circle

= 2(π)(10)

= 20π ft

A store sells two cone-shaped funnels. What is the height of each funnel? Round your answer to the nearest tenth
(1 pt=28.875 in)
45 in
5 in
Volume 0.5 pint
Volume 1 pint
The height of the smaller funnel is about
inches.
The height of the larger funnel is about
inches.

Answers

Considering the volume of a cone, it is found that:

The height of the smaller funnel is about 2.72 inches.The height of the larger funnel is about 3.06 inches.

What is the volume of a cone?


The volume of a cone of radius r and height h is given by:

[tex]V = \frac{\pi r^2h}{3}[/tex]

For cone 1, we have that V = 0.5 x 28.875 = 14.4375 in³ and r = 2.25 in(half the diameter), hence:

[tex]\frac{\pi (2.25)^2h}{3} = 14.4375[/tex]

[tex]h = \frac{14.4375 \times 3}{\pi \times (2.25)^2}[/tex]

[tex]h = 2.72[/tex]

For cone 2, we have that V = 28.875 in³ and r = 3 in, hence:

[tex]\frac{\pi (2.25)^2h}{3} = 28.875[/tex]

[tex]h = \frac{28.875 \times 3}{\pi \times (3)^2}[/tex]

[tex]h = 3.06[/tex]

More can be learned about the volume of a cone at https://brainly.com/question/14281550

Please Help! What is the measure of the reference angle that corresponds to an angle of measure 278°

Answers

Answer:

82 degrees

Step-by-step explanation:

Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive.

82 DEGREES

In a rhombus, the difference of the measures of the two angles between a side and the diagonals is 32°. What are the measures of the angles of the rhombus?

Answers

Answer:

122 and 58

Step-by-step explanation:

find two z values so that the middle 65% of the area is bounded by them

Answers

Answer: Firstly in this question, we need to solve for

α

which is the part of the distribution of which we not looking for.

we can do this with the sum:

α

=

1

0.76

=

0.24

as

0.76

=

76

%

we also know that our Standard Normal Distribution is symmetric, so we must divide that

α

to be split on either side of our distribution. so we solve for:

α

2

=

0.24

2

=

0.12

then we find a correlating

z

-score for the value

0.12

and we get that

z

=

1.175

and

z

=

1.175

This becomes easier to understand when visualized, so observe how we do this sum.

Step-by-step explanation:

On Tuesday afternoon at camp, Walter did archery and sailing before dinner. He spent 1 hour at archery and 1 hour and 20 minutes sailing. Sailing ended at 2:30 P.M. when it was time for dinner. What time did archery start?

Answers

Answer:

12:10

Step-by-step explanation:

1 hour and 20 minutes sailing- sailing ended at 2:30 pm when it was time for dinner.

For this, you simply have to subtract nd hour and 20 minutes from 2:30:

That is 1:10 pm.

Then, Walter spent an hour doing archery, so you take an hour off- which turns it back to 12:10 pm.

or 10 minutes after noon.

Thus, Archery started at 12:10 pm

Hope this helps, brainliest is always appreciated! :)
Have a nice day! cx

~Mitsuna

PLEASE HELP
Which is the graph of f(x) = 1/4 (4)x?
No links

Answers

Answer:

3rd

Step-by-step explanation:

Answer: graph 3

Step-by-step explanation:

Phillip is going to a college where tuition is $7,000 per year. He has a scholarship that pays 75% of tuition. He has a grant that pays $1,500 per year. How much will he need to borrow to pay tuition each year?​

Answers

$250

7000 • 75% = 5250
7000 - 5250 = 1750
1750 - 1500 = 250

A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30

Answers

Answer:

77.00

Step-by-step explanation: just round and subtract

The price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

What is consumer price index?

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex] = cost of market basket in base period

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

[tex]CPI_t[/tex] = 186[tex]C_t[/tex] = To find[tex]C_0[/tex] = $41.40

Thus, we get:
[tex]186 = \dfrac{C_t}{41.4} \times 100\\\\C_t = \dfrac{186 \times 41.4}{100} \approx \$77[/tex]

Thus, the price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

Learn more about consumer price index here:

https://brainly.com/question/5992428

INDEPENDENT or DEPENDENT?
Two marbles are drawn from a container in such a way that the first marble drawn is
replaced before selecting the second marble.

Answers

Answer:

what is 2dimes and one nickle and one quarter makes

Y=x-12, y=14 what is x I need someone to answer fast please

Answers

Answer:

x = 26

Step-by-step explanation:

If Y= x - 12 and Y = 14

Then we input the value of y which gets us the equation of: 14 = x - 12

Now we add 12 on both sides to isolate the variable.

We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x

Easily we can find that 26=x

Find the value of x and y​

Answers

Answer:

x=120

y=60

Step-by-step explanation:

i) y=60 [ corresponding angles]

ii) x + 60 = 180 [linear pair]

or, x = 180- 60

therefore, x is equal to 120

number 13 ..........

Answers

Answer:

See below

Step-by-step explanation:

Scale it by  -4/3   then shift it left by 3

  scale by - 4/3  is the same as flipping the function about the x-axis

      and scaling it by 4/3

Find the area of the triangle. Enter your answer in the box. 27 mm 12 mm 14 mm sq mm​

Answers

Answer:

84 cm^2

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2 * b*h (b: base, h: height)

1/2 * 14 * 12 = 84 the area is indicated with cm^2 so the answer is 84 cm^2

Evaluate the expression. Write your answer in scientific notation.
6 (6 x 10^-3) + 0.23 – (5 x 10^-2) =

Answers

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10.If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.16 • 10^-1

What is the correct answer?

Answers

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 4.4 \times 2.9 \times 1}[/tex]

[tex] \mathsf \purple{v = 12.76 {yd}^{3} }[/tex]

12.76 cubic yards

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