Type the correct answer in each box. Round your answers to the nearest dollar.


These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor:






R(x) = -31.72x2 + 2,030x

C(x) = -126.96x + 26,391


The maximum profit of $ Blank

can be made when the selling price of the dog food is set to $ Blank

per bag.

there are two answers

Answers

Answer 1

Answer:

$10,277.32

Step-by-step explanation:

Given the revenue and cost function

R(x) = -31.72x^2 + 2,030x

C(x) = -126.96x + 26,391

The profit function is expressed as;

P(x) = R(x) - C(x)

P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,156.96x - 26,391

To have maximum profit, d

The maximum profit dP/dx = 0

dP/dx = -63.44x+2156.96

-63.44x+2156.96=0

63.44x = 2156.96

X = 2156.96/63.44

x = 34

Get the profit

P(34) = -31.72(34)² + 2,156.96(34)- 26,391

P(34) = -36668.32+73336.64-26391

P(34) = 10,277.32

Hence the maximum profit that can be made is $10,277.32


Related Questions

Gross profit of Inner Spark's company amounted to Php275,000. Net Sales is Php400,000 compute for cost of goods sold?

Answers

Answer:Cost of goods sold =Php125,000

Step-by-step explanation:

Profit = Cost Price-Selling Price

Also we know that

Gross Profit = Net Sales– Cost of Goods Sold

Php275,000=Php400,000– Cost of Goods Sold

Cost of Goods Sold=Php400,000-Php275,000=Php125,000

Oumou is buying tile for her kitchen. The area of Oumou’s rectangular kitchen, in square feet, can be found by using the expression 5(3m+4n). Use the distributive property to write an equivalent expression for the area of Oumou’s kitchen.

Answers

The answer is: 15m + 20n

Hope this helped

Q4) Identify which of the following are geometric sequences and which are
not
(i) 2, 6, 18, 54.....
(ii) 25,5, 1,
(iii) 1, 4, 9, 16

Answers

Answer:

(i) and (ii)

Step-by-step explanation:

For a sequence to be geometric then the ratio r between consecutive terms must be common.

(1)

2, 6, 18, 54

6 ÷ 2 = 3

18 ÷ 6 = 3

54 ÷ 18 = 3

Here there is a common ratio r = 3 , then sequence is geometric

(ii)

25, 5, 1

[tex]\frac{5}{25}[/tex] = [tex]\frac{1}{5}[/tex] and [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{1}{5}[/tex]

There is a common ratio r = [tex]\frac{1}{5}[/tex] , then sequence is geometric

(iii)

1, 4, 9, 16

4 ÷ 1 = 4

9 ÷ 4 = 2.25

16 ÷ 9 = 1.777..

There is no common ratio, then sequence is not geometric

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPP

Answers

Answer:

L=74

W=77

Step-by-step explanation:

Answer:

L=74 and W=77

Step-by-step explanation:

first the area of a rectangle is length of breath

A=L X W

4514= L X 61

61L=4514

L=4514/61

L=74m

b. perimeter =2(L + W)

338=2*92+ 2W

338=184+2W

2W=338-184

2W=154

W=154/2

W=74

In a bag in a sports store room, there are
four times as many AFL balls as Rugby
balls and half as many AFL balls as
soccer balls. The number of balls
altogether is 52.
How many AFL balls are in the store room?

Please stop putting links and stuff as the answer.

Answers

30 is the answer hope rthis helps

What is the median of 5, 9, 5, 6, 3, 2,

Answers

arrange the numbers from least to greatest
2,3,5,5,6,9
the median is 5

3x = 6

Help me p l e a s e

Answers

Answer:

x=2

Step-by-step explanation:

have a nice day

Help will give crown do NOT get this

Answers

2x+7/9=5/6 I think it the answer

Answer:

[tex]14x + 36 = 15[/tex]

Step-by-step explanation:

Multiply both sides by LCM which is 18.

[tex]18( \frac{7}{9} )x + 2 )= \frac{5}{6} \times 18[/tex]

[tex]14x + 36 = 15[/tex]

multiply this please! i dont understand this assignment and need someones help asap!

Answers

Answer:

b1 = -21

b2 = 33

b3 = 6

Step-by-step explanation:

I think that it is asking you to multiply 3 by -7, 11 and 2 and those would equal b1,2, and 3

The cost for a ticket at the movie theater is $13. Students get a 9% discount taken off the price of a ticket. How much does the student ticket cost after the discount is taken off?


Explain and make sure it’s right for BRAINLIST.

Answers

so 9% of 13 is 1.17
so then you go $13 - $1.17 and your answer is $11.83

What is the axis of symmtry

Answers

Answer:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical.

Step-by-step explanation:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

The middle of a parabola

The base of a rectangular prism is completely filled by 24 unit cubes. Each cube has a length of one unit, a width of one unit, and a height of one unit. If the height of the prism is completely filled by 4 layers of unit cubes, what is the volume of the prism?

Answers

Answer:

26

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

PLZ HELP WILL GIVE BRAINLY IF CORRECT

Answers

Answer:

1000 MM is the greatest

Step-by-step explanation:

1000 MM to CM = 100

9.7 CM and 4.7 CM are too small, therefore, we ignore them..

450 MM to CM is 45, therefore 1000 MM is the greater length

Answer:

A

Step-by-step explanation:

1,000mm=100cm

Ana has a hypothesis that girls get up earlier and, as a result, usually enter Ana's Donut Shop before boys do. To
test her hypothesis, she spends 10 mornings asking the first 3 people to enter her shop whether they are a boy
or a girl.
The data she collects is given in the table below. "G" represents a girl, and "B" represents a boy.
Drag the bars to make a relative frequency plot that shows the proportion for each possible number of girls in
the first 3 customers in a day.

Answers

Answer:

0 = 0.2  1 = 0.3, 2 = 0.4, 3 = 0.1

Step-by-step explanation:

Khan Academy told me

Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees. In parallelogram LMNO, what is the measure of angle M? 20° 60° 80° 100°

Answers

Answer:

80degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the opposite angle of the parallelogram are equal hence;

5x= 3x+40

5x - 3x = 40

2x = 40

x = 40/2

x = 20degrees

Also <M + <N = 180

<M + 5x = 180

<M + 5(20) = 180

<M + 100 = 180

<M = 180-100

<M = 80degrees

Hence the measure of angle M is 80degrees

Answer:

80

Step-by-step explanation:

did the test

PLSS HELP WITH THSI IMMEDIATELY!!!! i’ll give brainiest if u don’t leave a link.

Answers

Answer:

Step-by-step explanation:

All the three sides are equal. So, it is equilateral triangle.

All the angles are less than 90°, so, it is acute triangle

Answer:

it's acute and equilateral

Step-by-step explanation:

Chad wants to plant daisies in his new planter. How much potting soil should he buy to fill the
planter?
Assume that t = 3.14.

Answers

Answer:the answer is 2.713inches3

Step-by-step explanation:

How I know I just did This problem and get it correct

10 points

15. What is the rule for an arithmetic sequence whose first term is 12 and the common
difference is 9?

Answers

Answer:

T1=12 a=12 a=T1

d=9

your Arithmetic equation is Tn=a+(n-1)d

Tn=a+(n-1)d

SUBSTITUTE a and d in your equation

Tn=12+(n-1)(9)

Tn=12+9n-9

Tn=3+9n or Tn=9n+3

PLZ help I am so confused

Answers

Whenever it says divide just flip the fraction and change it to multiply

find x please help me thank you

Answers

x should equal 6 because it’s half of the base.
x=6 cm
hope this helps

1. is a hanger a/an right,acute, or obtuse triangle?
2. is it a/an equilateral, scalene or isosceles triangle? please put an explanation for both, thanks :)

Answers

Answer:

1. acute 2. isosceles

Step-by-step explanation:

1. Acute means less then a 90 degree angle a hanger has a degree of about 60.

2. isosceles means it has 2 sides the same length a hanger has 2 sides the same length.

what is the slope of the line?

Answers

Answer:  -2/3

i hope this helps!

Answer:

[tex]\sf -\cfrac{2}{3}[/tex]

Step-by-step explanation:

To measure slope, we pick any two points on the line. Then we look at the horizontal and vertical distances between those points.

Going from the point on the left to the point on the right, the change in y is -2 and and the change in x is 3.

[tex]\sf Slope=\cfrac{rise}{run} =\cfrac{-2}{3}[/tex]

[tex]\sf = -\cfrac{2}{3}[/tex]

The slope of the line is -2/3

___________________

Hope this helps!

Have a great day!

How do you do this I'm so stuck.

Answers

Answer:

multiple answers below

Step-by-step explanation:

a = 8.6

b = 4.5

c = 9.71

formula for area :: a = b*h / 2

8.6 * 4.5 = 38.7 / 2 = 19.35

perimeter = a+b+c= 8.6 + 4.5 + 9.71 = 22.81

type = right angle ??

Help me out with this math please

Answers

Answer:

I believe it is C.

Answer:

B

Step-by-step explanation:

because I put it on the calculator and got 0.0195, and they give us 1.95, we have to move the decimal two times in front, that is -2. So the answer is B.  

this is my question here

Answers

Answer:

The greatest number of cycling outfits that Mr. Trager can buy would be 2.

Step-by-step explanation:

To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.

Spent so far:

... 273.98 + 3×7.23 +42.36 = 338.03

Remaining available funds:

... 500.00 -338.03 = 161.97

The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.

Mr. Traeger can buy two (2) cycling outfits with the remaining money.

_____

The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.

10. The dimensions of a triangular prism are shown in the diagram. 10 cm 10 cm www 8 cm 34 cm -12 cm What is the volume of the triangular prism in cubic centimeters?​

Answers

Answer:

I dont understand, what does www mean?

Step-by-step explanation:

Uhm I would appreciate the length and height so I can solve.

Remember formula of a triangle is:

BH x 1/2

OK so 8 x 12 = 96

96 divided by 23 = 32

Your answer is 32 I am pretty sure if that's the following formula of a PRISM. Please wait for more responses if needed, thank you.

Without division:

8 x 12 = 96

HELP NEEDED 20 POINTS AND BRAINLIST!!!! Please explain your answer and no links! please!

Answers

Answer:

From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.

Step-by-step explanation:

Hope this helps have a nice day!

Type the correct answer in each box. Use numerals instead of words.
Bethany collected 200 survey responses regarding recycling behaviors in her city of those responses, 174 people responded that they
participate in the city's recycling program.
Use this information to complete the statement. Round all answers to the nearest hundredth.
, which means that
% of the people surveyed do not participate in the city's
The approximate sample proportion is
recycling program.

Answers

Answer:

Step-by-step explanation:

Answer:

1st one 0.87

2nd one 13

PLATO

Step-by-step explanation:

GUYS PLEASE ASAP I WILL FAIL IF U GUYS DONT ANSWER PLEASE

Answers

Answer: a square is both rectangle and quadrilateral.a trapezoid, rhombus and parallelogram is a quadrilateral. A parallelogram is also a rectangl.

Step-by-step explanation:

can someone help i dont know any of these formulas

Answers

s.a=C.A xH

v of n.o.2 =lxwxh

Step-by-step explanation:

v of no.3=πr2h and s.a=πdh

no.1=area of cross section x area of all faces and v=area of cross section x length

try those ones

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