Hey im confused on how to solve this. Can Anyone help me?

Hey Im Confused On How To Solve This. Can Anyone Help Me?

Answers

Answer 1

Answer:

The minimum unit cost is $9374.

Step-by-step explanation:

The unit cost C for making x engines is given by the quadratic function:

[tex]C(x)=0.3x^2-162x+31244[/tex]

We want to determine the minimum unit cost.

Since this is a quadratic function with a positive leading coefficient, the minimum value will be its vertex. The vertex of a quadratic can be found using the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = 0.3, b = -162, and c = 31244.

Find the x-coordinate of the vertex:

[tex]\displaystyle x=-\frac{(-162)}{2(0.3)}=\frac{162}{0.6}=270[/tex]

In other words, in order to achieve the minimum cost, only 270 engines must be made.

Then to find the minimum cost, substitute the value back into the function. So:

[tex]C(270)=0.3(270)^2-162(270)+31244=\$ 9374[/tex]

The minimum unit cost is $9374.


Related Questions

A company has designed its new packaging for products to be shaped liked the prism shown. If the cost of packaging is $0.03 per square inch, find the total cost of the package shown. (10 inches horizontally, 4 inches vertically, and 4 inches on the side)

Answers

Answer:

$5.76

Step-by-step explanation:

We solve using the formula of the area of a rectangular prism

A = 2(LW + LH + WH)

The dimensions of the package are given as: 10 inches horizontally, 4 inches vertically, and 4 inches on the side

=2 × (4 × 10 + 4 × 10 + 4 ×4)

=192 square inches

If the cost of packaging is $0.03 per square inch, the total cost of the package is calculated as:

1 square inch = $0.03

192 square inches = x

Cross Multiply

= 192 × $0.03

= $5.76

who understands this sum?

Answers

Answer:

$31728

Step-by-step explanation:

sorry if I'm wrong

Please help me, I don’t understand how I keep getting it wrong!

Answers

9514 1404 393

Answer:

  1.2 t/m³

Step-by-step explanation:

1 tonne is 1 Mg = 10⁶ g

1 m³ is (100 cm)³ = 10⁶ cm³

The conversion is ...

  (1.2 g/cm³) · (1 t)/(10⁶ g) · (10⁶ cm³)/(1 m³)

  = 1.2(10⁶)/(10⁶) t/m³

  = 1.2 t/m³

__

For this conversion, the numerical value does not change. Megagrams per cubic meter is the same ratio as grams per cubic centimeter.

Which is a quadratic function?

A y = X-9
B y = x² +9
C y = x + 2x -9

Answers

Answer:

B y = x² +9

Step-by-step explanation:

A quadratic function must have the highest power of x being x^2 and must have an x^2 term

A y = X-9  - linear

B y = x² +9 quadratic

C y = x + 2x -9 - linear

The answer is b !!!!!

19. Which of the following are examples of segments
from the figure?
BCD
D
CA
BAD
DA
AB
BD

Answers

Answer:

BCD

Step-by-step explanation:

You can easily find out by the points at the end of line. These points indicate that this is line segment.

share 747 in the ratio 2:7 between Tom and Ben

Answers

Answer:

tom = 166, ben = 581

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

therefore 1 part = 83

83 x 2 = 166

83 x 7 = 581

tom has 2 parts so he has 166

ben has 7 parts so he has 581

Answer:

Tom has 166.

Ben has 581.

Step-by-step explanation:

2 + 7 = 9

747 ÷ 9 = 83

83 × 2 = 166

83 × 7 = 581

Triangle X W Y is shown. The length of side X W is 5. The length of side W Y is 11. The length of Y X is 7. What is the order of the angles from largest to smallest? Angle W, Angle X, Angle Y Angle X, Angle W, Angle Y Angle X, Angle Y, Angle W Angle Y, Angle W, Angle X

Answers

Answer:

Step-by-step explanation:

The angle opposite to longest side is the largest angle.

WY is the longest side. ∠x is the greatest

Arrange sides from largest to smallest

WY >  YX > XW

∠X   > ∠W > ∠Y

Answer:

angle X, angle W, and angle Y

Step-by-step explanation:

got it right on edge

Take away the volume of 480 from the volume of 3240 What is the answer? [PLEASE I NEEEEEEDDDDD IT NOWWWWWWWW PLEASEEEEEE

Answers

Answer: 2760

Step-by-step explanation:

which tessellation uses more than one type of regular polygon?

Answers

Answer:

semi-regular tessellations

Step-by-step explanation:

8. A warehouse 25 feet tall casts a shadow that is 15 feet long. At the same time of day, how
long is the shadow cast by an apartment building that is 90 feet?

Answers

Answer:

D

Step-by-step explanation:

[tex]-a-\frac{7}{8} a[/tex]
paso a paso

Answers

Step-by-step explanation:

-a-7a/8

-8a-7a/8

-15a/8

Hope it helps you

Answer:

Step-by-step explanation:

WE have to find the least common denominator and it is 8

[tex]-a =\frac{-a*8}{1*8}=\frac{-8a}{8}\\\\-a -\frac{7}{8}a=-\frac{8}{8}a-\frac{7}{8}a\\\\=\frac{-8a-7a}{8}\\\\=\frac{-15a}{8}\\\\[/tex]

Find the quotient of
x3−4x2−4x+16x−2

Answers

Answer:

x^2 - 2x - 8.

Step-by-step explanation:

Using long division:

x - 2)x^3 - 4x^2 - 4x + 16( x^2 - 2x - 8 <------ Quotient

       x^3 - 2x^2

              -2x^2 - 4x

              -2x^2 + 4x

                         - 8x + 16

                          -8x + 16

                            ............

Holly cuts 2 ribbons into tenths for a craft project how many 1/10 size ribbons does she have

Answers

Answer:

Holly would have 20 1/10 sized ribbons.

Step-by-step explanation:

One whole ribbon would equal out to 10, this number multiplied by 2 would be 20. Therefore meaning she should have 20 1/10 sized pieces of ribbon.

what is the a value of the vertex form...

y = (x - 3 )^2 - 36

Answers

Answer: I'm not smart or nun but u tryna find the graph? It's (3, -36)

Step-by-step explanation:

Kinda did it-

PLEASE HELP RN!! if any of you guys see this please help

Answers

Answer: A.46

Step-by-step explanation: because it jus is dawg

Henry is buying orange juice to make punch for a party. He can buy the juice in 32-oz cartons for $2.56 each or 48-oz cartons for $3.36 each. Which is the better value? Use the drop-down menus to explain your answer.

Answers

Answer:

the 48

Step-by-step explanation:

fairly obvious

The 48 bête kids help

What is the 100th term of the sequence with a1=222 and d=-5

Answers

Answer:

--273

Step-by-step explanation:

100th term is equal a1 + 99d so

100th term = 222 + (-5×99) = -273

find two consecutive whole numbers

Answers

Answer:

9 and 10

Step-by-step explanation:

square root of 86 is 9.2 (ish)

A small plastic ball has a diameter of 8 centimeters. What is the volume of the ball

Answers

Given:

Diameter of ball = 8 cm

To find:

The volume of the ball.

Solution:

We know that the radius of sphere is half of is diameter.

It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:

[tex]r=\dfrac{8}{2}[/tex]

[tex]r=4[/tex]

The radius of the ball is 4 cm.

The volume of a sphere is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Where r is the radius of the sphere.

Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get

[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]

[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]

[tex]V=267.946667[/tex]

[tex]V\approx 267.95[/tex]

Therefore, the volume of the ball is about 267.95.

Last question of the day :)

Answers

Answer:

yehshjdjejrdjjej3u Rudd ixjje

maybe 10 i think but i really don’t know i need the points sis

help, with this question please. i’m not sure if anyone’s asked it yet.

Answers

are u taking a test Sir??

Help,anyone can help me do quetion.​

Answers

X=60 and Y=30
A quadrilateral with 2 parallel lines is a parallelogram which has equal angle to the opposite angle

Answer:

Step-by-step explanation:

angle y +60  = 180 degree (being adjacent angles of a trapezium )

angle y =180 - 60

angle y =120 degree

angle x+30 degree = 180 degree (being opposite angles of a trapezium)

angle x =180 - 30

angle x=150 degree

75 + 145 + 90 + y = 360 degree (sum of angles of a quadilateral is 360 degree)

310 + y = 360

y = 360 - 310

y = 50 degree

what is a three digit number for 100,10,1

Answers

Answer:

111

hope that helps!

A bank account starts with $3.00. The amount in the account doubles every year .

Answers

Answer:

Step-by-step explana

multiply it by 2 or sdd itself to it

The  account will have $1536.007 after 9 years.

Part A:

To express the total amount of money A(t) in the account after 7 years, we can use the formula:

A(t) = P[tex](2^t)[/tex]

where:

A(t) is the total amount in the account after t years,

P is the initial amount in the account (starting with $3.00 in this case),

t is the number of years.

Substituting the values into the formula, we get:

A(t) = 3 ([tex]2^7[/tex])

A(t) = 3 x 128

A(t) = 384

Therefore, the total amount of money in the account after 7 years is $384.

B) To find out after how many years the account will have $1536.007, we need to solve the equation:

1536.007 = 3 [tex](2^t)[/tex]

Dividing both sides of the equation by 3, we get:

512.0023333333 = [tex]2^t[/tex]

Taking the logarithm (base 2) of both sides, we have:

log2(512.0023333333) = t

t = 9.000317.

Therefore, the account will have $1536.007 after 9 years.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ2

Helpppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

5^18

Step-by-step explanation:

since its a power to a power, you multiply so -6 x -3 = 18 so Answer = 5^18

the answer is 5^18
explanation:



what is the angle of ABF?

Answers

Answer:  125

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

Explanation:

Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.

Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.

Since angle 3 is 55 degrees,  angle 1 is also 55 degrees.

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

Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)

In other words,

(angle ABJ) + (angle ABF) = 180

angle ABF = 180 - (angle ABJ)

angle ABF = 180 - (angle 1)

angle ABF = 180 - (55)

angle ABF = 125 degrees


Find the equation of the line with a slope of 2 and a point of (5,11)

PLEASE HELP !!!! THANKS !!!

Answers

Answer:

y=2x+1

Step-by-step explanation:

Hi there!

We are given the slope (m), which is 2, as well as the point (5,11).

We need to find the equation of the line.

There are 3 ways to write the equation of the line, but the most common type is slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept

We're already given the slope (2), so we can substitute it into the equation right away

here's the equation so far:

y=2x+b

now we need to find b.

We can do this by plugging (5,11) into the equation, as the line passes through that point.

Substitute x as 5 and 11 as y

11=2(5)+b

multiply

11=10+b

subtract 10 from both sides

1=b

substitute 1 as b into the equation

y=2x+1

Hope this helps! :)

Can you do it thank for answer

Answers

Answer:

Step-by-step explanation:

a) 5  > 4 +x

4 + x < 5

Subtract 4 from both sides

x < 5 - 4

x < 1

b) 2 ≤ 6c + 14

6c + 14 ≥ 2

Subtract 14 from both sides

6x ≥ 2 - 14

6x ≥ - 12

Divide both sides by 6

x ≥ -12/6

x ≥ -2

c)  -4 > 2b

2b < - 4

Divide both sides by 2

b < -4/2

b < -2

d)

[tex]7 \leq \frac{a}{3}[/tex]

[tex]\frac{a}{3} \geq 7\\\\a \geq 7*3\\\\a \geq 21[/tex]

Answer:

Below.

Step-by-step explanation:

(a). 5 > 4 + x

4 + x < 5      (Note that the sign is flipped)

x < 5 - 4

x < 1.

(b) and (c) are solved in the same way.

(d)  7 <= a/3

a/3 >= 7

Multiply both sides by 3

a >= 21.

(e) - as above.

(f) 6 >= 3(p + 2) - 11

3(p+2) - 11 <= 6

3p + 6 - 11 <= 6

3p - 5 <= 6

3p <= 6 + 5

3p <= 11

p <= 11/3.

f(x) = 2x-1
What kind of shift is represented?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:

A vertical shift down one unit.

»»————- ★ ————-««  

Here’s why:

A chart showing the rules of function transformations are shown. The equation shown is the parent function of '2x' that is shifted 1 unit down. If the number was inside the x [like (x - 1)] it would be a horizontal transformation. Since it's outside we would consider it to be a vertical shift.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

PLEASE HELP HURYYYYYYYYY

Answers

Answer:

273 - 153.94 = 119.1 [tex]in^{2}[/tex]

Step-by-step explanation:

area of a trapezoid - area of a circle = shaded area

Other Questions
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