Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea

Answers

Answer 1

Answer:

The production cost for a packet of super tea is 924.

Step-by-step explanation:

The production cost of the Super tea is given as

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]

Here the costs are given as following

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]

Here

Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A  per kg is 1600

So

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]

The cost of A is 264.

Similarly

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]

Here

Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B  per kg is 800

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]

The cost of B is 440.

Also

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]

Here

Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C  per kg is 1700

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]

The cost of C is 187.

Now the packaging and blending cost for the given package is calculated as

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]

Here

Weight is 825 g or 0.825kgCost of packaging and blending  per kg is 40

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]

Cost of packaging and blending per packet is 33.

So now substituting values of costs in the following equation gives:

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]

The production cost for a packet of super tea is 924.


Related Questions

what is the slope of the line that passes through the points (6,7) and (4,1)?

Answers

Answer:

3

Step-by-step explanation:

m= y2 - y1/ x2 - x 1

(6, 7) (4, 1)

1-7= -6

4-6= -2

-6/-2 = 3

I NEED HELP PLEASE GUYS ITS FOR NOW!!

Answers

Answer:

202m

Step-by-step explanation:

Use pythagoream theorum to find the hypotenuse. So [tex]a^{2} +b^{2} =c^{2}[/tex], where the height (40m)=a and the anchor length (198m)=b. That leaves us with  [tex]40^{2} +198^{2} =c^{2}[/tex], doing the math out for that we get 40,804=[tex]c^{2}[/tex], taking the square root of 40,804 we get our answer of 202m

Just need help solving this problem.

Answers

Hey mate! Check it out. Good luck!

What is the square root of -1?

Answers

Answer:

Step-by-step explanation:

The square root of a negative number is an irrational value

Answer:

✓-1 is an error but according to the rule of mathematics -1 is still the same thing as 0

✓0 is = 0

Jon wants to make a tent that is in the shape of a square pyramid. If the length of the square is 5 feet and the height of the tent is 6 feet, how much space will be in the tent? (Do not include the units).

Answers

It is 300

Step-by-step explanation:

6*5 multiply them   times bye 2

Question to this please not sure

Answers

Answer:

6

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

d = 2xr

2x3 = 6

hope this helps


The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how
far does the automobile move? (Round the result to the nearest tenth of a foot.)

Answers

222inches I’m not shure but use photo math for the answer

I need the answer please

Answers

it would first be 0.7 and then 1.1

Step-by-step explanation:

So, it is a question of Arithmetic Progression.

Answer attached...

Hope it helps :)

What is the area of the following figure?

Answers

Answer:

Area = 136

Step-by-step explanation:

Rectangle on the bottom

Length = 16

Width = 7

Area = L * W

Area = 16 * 7

Area = 112

Triangle on Top

Height = 13 - 7 = 6

Length = 16 - 8 = 8

In a right triangle the area = the product of the 2 shortest sides divided by 2

Area = 1/2 * Length * Height

Area = 1/2 * 8 * 6

Area = 1/2 48

Area = 24

Total Area = 112 + 24 = 136

in circle B, m ZDBF = 75°,m FC =60° and DE and AC are diameters.
Need help with this question asap!!

Answers

Answer:

[tex]\huge{\{\fbox{\tt{Questions }}\}}[/tex]

The required measures of the circle are:

mDF = 75, m∠FBE 105, mFC=60
m∠CBE = 45, mDAC = 225. m∠ABE=135

m∠ABF=120

What are the sections of the circle?

A section of a circle is a region enclosed by a chord and an arc of the circle. It is also called a circular sector. A circular sector is defined by its central angle, which is the angle between the two radii that form the sector, and its radius, which is the distance from the center of the circle to the endpoints of the sector.

Here,
A circle is shown,

mDF = 75  [shown in the image]

m∠FBE = 60 + ∠CBE

m∠FBE = 60 + ∠ABD     [∠ABD=∠CBE]

m∠FBE = 60 + 45             [∠ABD = 180 - 75-60]

m∠FBE = 105,

Similarly,

mFC=60, m∠CBE = 45, mDAC = 225, m∠ABE=135, and m∠ABF=120

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Can someone help me with these true or false questions thank you

Answers

Number 1 is false and number 2 and 3 is true.
Sorry if it’s wrong I’m kinda of learning this too.

Can someone help me please with both questions?

Answers

he really put a link

The volume of a cone is given by v=13πr2h. If a cone has volume 3π, what is the height of the cone when the radius is 12?

Answers

Answer:

16units

Step-by-step explanation:

Given data

The expression for the volume of a cone is given as

v=1/3πr^2h

v= 3π

r= 12

h=???

Substitute

3π= 1/3*π*12^2*h

3= 1/3*144*h

3= 144h/3

cross multiply

3*3= 144h

9= 144h

h= 144/9

h=16 units

Hence the heeight is 16units

Use Substitution, what is the solution to the system 5x + y = 12 and 2x + Зу = -3

A (2,-3)
B (-3,3)
C (3,-3)
D (2,2)

Answers

Answer:

C

Step-by-step explanation:

Answer would be c sorry if wrong

Find the product of the elements on the main
diagonal of matrix A:
d1 = (a11)(a22)

Answers

Answer:

24

Step-by-step explanation:

thats right

The solution is d₁ = 24

The product of the elements on the main diagonal of the matrix is 24

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

Let the matrix be represented as A

Now , the value of A is

[tex]A = \left[\begin{array}{ccc}3 &2 \\ 5 &8 \\\end{array}\right][/tex]

Now , on simplifying the matrix A

The main diagonal of the matrix is having the elements ( a₁₁ ) and ( a₂₂ )

So , the product of the elements in the main diagonal is

a₁₁ = 3

a₂₂ = 8

And , the equation will be

d₁ = ( a₁₁ ) x ( a₂₂ )

Substituting the values in the equation , we get

d₁ = 3 x 8

d₁ = 24

Therefore , the value of d₁ is 24

Hence , the product of the diagonal elements of matrix is 24

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Which equation can best be modeled by the expression 10(-4)

Answers

-40
Take 10 and x it by the 4 and since it’s in brackets it will take the negative sin because it means it important because normally if you were doing 10x -4 you would have 40 because 10 is bigger but the 4 was in brackets

I will give you BRAINLIEST for the correct answer

Answers

Answer:

126

AS:

If these cubes are to to be placed so that their respective faces are parallel

or perpendicular, as the case may be, to the respective orientations of the

dimensions of the box, without tilting any cubes in any directions,

then choice B) can be justified. This leaves spaces (some volume) in the box

not filled by the cubes.

How many whole number of edges of the cubes fit into 4 cm?  

4 / 3 √ 2   must be rounded down to 3.

How many whole number of edges of the cubes fit into 8 cm?  

8 / 3 √ 2   must be rounded down to 6.

How many whole number of edges of the cubes fit into 10 cm?  

10 / 3 √ 2   must be rounded down to 7.

Then (3)(6)(7) = 126

A triangle has an area of 32 square centimeters and a height of 1 centimeters. What is the length of the base of the triangle?
A.64 cm
B.32 cm
C.16 cm
D.8 cm

Answers

I think the answer is B

What is the main difference between a square and a rhombus?
A.
A rhombus has 4 right angles, and a square does not.
B.
A square must have 4 right angles, but a rhombus may or may not have 4 right angles.
C.
A square has sides that are parallel, but a rhombus does not.
D.
A rhombus is always bigger than a square.

Answers

Answer:

B. a square must have 4 right angles, but a rhombus may or not have 4 right angles.

Answer:

B

Step-by-step explanation:

The main difference between a square and a rhombus is a square must have 4 right angles, but a rhombus may or may not have 4 right angles. All the angles of a square have to be 90 degrees. All right angles are 90 degrees. All squares are rhombuses, but not all rhombuses are squares. There are occasions when a rhombus has 4 right angles.

The area of a garden can be represented by the expression x2 - 6x - 27. What are the dimensions of the rectangle in terms of x?

Answers

Answer:

Step-by-step explanation:

x² - 6x - 27

x² - 9x + 3x - 27

x(x - 9) + 3(x - 9)

(x - 9) (x + 3) = 0

x = 9

x = -3

The dimensions are 9 and 3

What is the sum of sqrt3 - i and 2 - sqrt3i?

Answers

Answer:

THE ANSWER IS B YALL I GUESSED AND GOT IT RIGHT

Step-by-step explanation:

HAVE A NICE DAY :)

The sum of given numbers is 2+√3 +i(-1+√3)

How to add complex numbers?

A complex number is a kind of number which has two parts:

Real partImaginary part

The real part consists of real numbers whereas the imaginary part consists of numbers like i (iota=√-1)and its multiples.

When we add complex numbers, we add the real part and the imaginary part separately.

In this question:

Adding real parts: √3 +2Adding imaginary part: -i+√3i=i(√3-1)

Therefore, we get a new complex number that is √3+2+i(√3-1).

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Please solve 64^x=4096

Answers

Answer:

2

Step-by-step explanation:

64x64=4096

So its 64^2=4096

Answer:

x=2

Step-by-step explanation:

Given: 64ˣ=4096

Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)

Final answer: x=2

Find the area of a rectangle with a base of 3 yards and a height of 4/7 yards.

Answers

area of rectangle = length x width
in this case we multiply the base and height
3 x 4/7
= 3/1 x 4/7
= 12/7
mixed fraction = 1 5/7

Answer:

Area=12/7square yard

Step-by-step explanation:

Area=base x height

Area=3x4/7=12/7 square yard

The cost of a new car is $16,500. You can Finance the purchase by paying $500 down, and $350 a month for 60 months. What is the amount financed (Cash Price - Down Payment)?

Answers

Answer:

the amount financed is $16,000

Step-by-step explanation:

The computation of the amount financed is shown below:

As we know that

Amount financed = cash price - down payment

= $16,500 - $500

= $16,000

Hence, the amount financed is $16,000

If we deduct the down payment from the cash price so we can get the amount financed

And, the same would be considered

Using the net below, find the surface area
of the pyramid.
4cm
2 cm
12 cm
Surface Area
=
[?] cm2
Enter

Answers

Answer:

everything is in the picture


Jana has 2 red pens in her backpack. If this is 25% of the total number of pens, how many
pens are in her backpack?
nts
Select the correct response:

800
0.5
8
1200

Answers

Divide number of pens given by percentage:

2/0.25 = 8

She has 8 pens total.

Geometry help please. Find m in the diagram please.

Answers

Answer:

m = 8

Step-by-step explanation:

[tex]\frac{m}{12}[/tex] = [tex]\frac{10}{5+10}[/tex]

15m = 120

m = 8

Use csc (90) = 10/m.

So, m = 10/csc(90).

m = 8.93997

Answer: m = 8

what's the volume of this composite figure
a. 272 cubic inches
b. 192 cubic inches
c. 180 cubic inches
d. 372 cubic inches
please help!! I'll give brainiest

Answers

Answer:

372 in³

Step-by-step explanation:

v1 = 12×4×4=192 in³

v2 = 12×3×5=180 in³

total volume =180 +192 =372 in³

A parabola with a vertex at (0,0) has a directrix that crosses the negative part of the y-axis.
Which could be the equation of the parabola?
A. x² = –4y
B. x² = 4y
c.y² = 4x
D.y² = –4x

Answers

Answer:

A parabola can be represented by the equation x2 = -20y. ... (0,-2). The directrix of the parabola is represented by y = 2. ... A parabola, with its vertex at (0,0), has a focus on the negative part of the y-axis. ... The directrix will cross through the positive part of the y-axis. ... Which graph represents the equation y2 = -4x? A ...

Step-by-step explanation:

yeiii

Mrs. Parson cuts 1 /3 of a piece of construction paper. She uses 1 / 6 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?NO LINKKKKKKKKKKKKKKKKKKKKSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs

Answers

Answer:

1/3*1/6 is ur answer.

1/18

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