The maximum profit is $288, and you should charge $6 per dozen.
How to get the relation between demand and prize?
Let's assume that demand depends linearly on price, such that we can write:
q = a*p + b
where q is the demand and p is the price.
We have 3 points of that line:
When you sell at $2 per dozen, you win $160, so you sold 80 dozens.When you sell at $3 per dozen, you win $216, so you sold 72 dozens.When you sell at $4 per dozen, you win $256, so you sold 64 dozens.The slope of the line is given by:
[tex]a = \frac{q_2 - q_1}{p_2 - p_1}[/tex]
Where these are values of demand and prize for two different points, if we use the first two points we get:
[tex]a = \frac{72 - 80}{3 - 2} = -8[/tex]
Then the line is something like:
q = -8*p + b
Remember that when p = 2, the demand is equal to 80, replacing that we get:
80 = -8*2 + b
80 + 16 = b = 96.
So the line is:
q = -8*p + b
How to maximize the profit?Profit is given by the product between the demand and the price, so we have.
Profit = p*q = p*(-8*p + 96) = -8p^2 + 96p
We want to maximize that, notice that is a quadratic equation of negative leading coefficient, so the maximum is at the vertex, using the equation for the vertex of a quadratic equation we will see that the maximum is at:
p = -96/(2*-8) = 6
Then the maximum profit is:
profit = -8*(6)^2 + 96*6 = 288
The maximum profit is $288, and you should charge $6 per dozen.
If you want to learn more about linear relations, you can read:
https://brainly.com/question/1884491
Will: 2*1*1*3 get tommyinit off of the screen explain the answer
refrence to somthing
Not sure what you meant... but your answer is 6.
2x1 is 2. 2x1 is 2 again. 2x3 is 6.
What is the domain of the function y- +4?
-00
O 45x<00
O 0SX <0
O 45x<00
Answer:
I think its A. I might be wrong tho so sorry if i am
Step-by-step explanation:
Lmk if its correct :)
please help me asap
The goal of this is to get 24 by multiplying the p value with q. q can be any number, as long as it gets to 24 in this scenario.
So your first p value is 4, so you can take 24, and divide it by 4 to get your answer.
24/4=6 then you can check it by multiplying 6*4=24. That means 6 is your first q value.
This will work for the rest of them in that table, except for the 0, because no matter what you multiply that by you cannont get 24. Try it out for yourself, goodluck!
Answer:
q- 24/4=6
24/2=12
24/0=0
24/-2= -12
24/-4= -6
Write the ratio of 2 oranges to 3 apples in three different ways
Answer:
2:3
3:2
2/3
Step-by-step explanation:
Answer:
2:3
2 to 3
2/3
If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10. Solve the equation.
I need help again.(math.)
Answer:
dont really know
Step-by-step explanation:
Answer:
x+3
Step-by-step explanation:
If you subtract 3 from every y output, you get the x input.
Hope this helps :)
BRAINLIEST (will mark) Given that the point $(4,7)$ is on the graph of $y=f(x)$, there is one point that must be on the graph of $2y=3f(4x)+5$. What is the sum of the coordinates of that point?
Answer: mark me brainliest!!
2y = 3f(4x) + 5 divide through by 2 y = (3/2) f(4x) + 5/2
The "4x" part compresses the graph horizontally by a factor of 4The "3/2" part vertically stretches the graph by a factor of 3/2The "5/2" part shifts the resulting point up by 5/2 units Applting the first two to (4,7) we get (4*(1/4) , 7* (3/2) ) = ( 1, 21/2)
Applying the last one, we arrive at ( 1, 21/2 + 5/2) = (1, 26/2) = ( 1,13)
The sum of the coordinates is 1 + 13 = 14
Step-by-step explanation:
Find the area of the composite figure.
Answer:
42cm
Step-by-step explanation:
I'm sry if I'm wrong
Answer:
42 square centimeters
Step-by-step explanation:
We know all the sides of the square is 6 cm.
The side of a square and the triangle on the bottom add to 8 cm.
The bottom part of the triangle must be 2 cm.
The area of the square is 36 square centimeters as we use the formula Area = side x side for a square.
The height of the triangle is 6cm as it is as tall as the square.
The formula of a triangle is 1/2 * base * height.
1/2*(6)*(2) = 6 square centimetes.
Adding the two together,
36 + 6 = 42
Write an equation that you can use to find the value of x.
What is the median of the data set? 5,6,7,8,9,10,11,12
Answer:
5+6+7+8+9+10+11+12=68
68÷8=8.5
tate whether the following ratios are proportional.
1) 2:3 and 4:6
2) 1:4 and 6:18
3) 3:5 and 1:3
4) 2:5 and 8:20
5) 4:9 and 12:27
6) 6:15 and 2:5
Answer:
4÷2=2
6÷2 =3
2:3 this is 4:6 in its simplest form
they are proportional or equal
Step-by-step explanation:
multiple are numbers a divide with and not get
a remainder
example 8÷4=2
8÷3=2 remainder 1 meaning that 3 in not a multiple
2) they are not proportional
6÷2=3
18÷2=9
3:9
6÷3=2
18÷3=4=6
6÷6=1
18÷6=3
1:3
this ratios are all not equal or proportional to1:4
9 8/12 - 4 9/12
Simplest form please
Answer:
1/3
Step-by-step explanation:
were going to subtract the wholes so what is 9-9=? it =02. Now we know we have 0 wholes. Next what is 8 -4=? 8 -4=4
3. Now our fraction is 4/12 now since 4 x 3 =12 then that means it's the first number besides 3 so what I mean about that is it is 1/3 but if the fraction were 8/12 then it would be 2/3 but it is 4/12 so it is 1/3.
4. That is our answer and were finished the final answer is 1/3 or 33.333
5.Hope this helps have a awesome day:)
i need help on number 13
Please help me out , these are a few questions and I need them urgently , don’t worry about the first, but to help. The answer to the first was
Jon = 1020
Bon = 2380
Please help, thanks.
Answer:
2. b) New amount = £6200
Same ratio → Jon : Bon = 3 : 7
6200 ÷ (3 + 7) = 620
⇒ 620 × 3 : 620 × 7
⇒ 1860 : 4340
Jon = £1860
Bon = £4340
3.
Tom : Thom : Thomas
= 2 : 3 : 5
= 2x: 3x : 5x
Given Tom received £2400:
⇒ 2x = 2400
⇒ x = 1200
2x: 3x : 5x
⇒ (2 × 1200) : (3 × 1200) : (5 × 1200)
⇒ 2400 : 3600 : 6000
Tom = £2400
Thom = £3600
Thomas = £6000
4.
cats : dogs
= 1 : 5
= 1x : 5x
Given there are 8 cats:
⇒ 1x = 8
⇒ x = 8
1x : 5x
⇒ (1 × 8) : (5 × 8)
⇒ 8 : 40
Therefore, there are 40 dogs
A camera has a listed price of $507.98 before tax. If the sales tax rate is 9.5%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
help pleasee :(((((
Answer:
$4825.80
Step-by-step explanation:
Move 3 units south and 3 units west. Your endpoint is (6, 7).
At what ordered pair did you begin?
Answer:
(9 10)
Step-by-step explanation:
If my vectors dont fail me, (9 10) - (6 7) = (3 3)
so its (9 10) for the answer
the triangles ABC and MNP are similar to obtain sentences
the side homologous to the side AB is the side
Check the picture below.
Ram is 1 m 10 cm tall and Shyam is shorter by 20 cm. Find the height of Shyam
Shyam is 0.9 m
Step-by-step explanation:
10 cm = 10/100 m = 0.1 m
Now,
Ram = 1m + 0.1 m = 1.1 m
Now,
shyam = 1.1 m - 20 cm
= 1.1 m - 20/100 m
= 1.1 m - 0.2 m
= 0.9 m
Help me ASAP PLEASE lateral surface area of the triangular prism :)
Answer:
15+15+40+40+40= 150
Step-by-step explanation:
Triangle x2]
(5 x 6) / 2
15
Rectangle x3]
(8 x 5)
40
only for a triangle, we divide by 2
Your answer is 150cm square.
But you do not have that option so I would pick the closes one if I were you. Have a good day.
Chase made a scale drawing of a neighborhood park. The scale of the drawing was 1 millimeter : 8 meters. The volleyball court is 16 meters long in real life. How long is the volleyball court in the drawing?
what millimeters
Answer:
Length of the volleyball court in drawing = 2 mm
Step-by-step explanation:
8 meter = 8 *1000 = 8000 mm
Scale factor = 1 : 8000
Length of the volleyball court in drawing = x
1 : 8000 :: x : 16000
[tex]\dfrac{1}{8000}=\dfrac{x}{16000}\\\\\\\dfrac{1}{8000}*16000=x\\\\[/tex]
x = 2 mm
A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the length of the rectangle. What is the length of the rectangle? 0. 75 units 1. 5 units 3 units 6 units.
By using the given condition, the length of the rectangle is 6 units.
It is given that
Area of the rectangle = 9 square units
Width of the rectangle = 1/4 of length
What is the area of a rectangle?The area of a rectangle is the multiplication of its length to width.
Let us take the length of the rectangle as l
So, the width of the rectangle will be l/4
Area of the rectangle,
[tex]l*\frac{l}{4} = 9(given)[/tex]
[tex]l^{2} = 36\\l = 6[/tex]
Therefore, the length of the given rectangle is 6 units,
To get more about rectangles, visit:
https://brainly.com/question/25292087
Answer: 6 units or D.
Step-by-step explanation:
help me find the answer
Answer: 4
Step-by-step explanation:
When x=0, y=4
What is the total wholes of 11/4. if you have the answer can you please tell me.
Answer:
Hello
Step-by-step explanation:
The answer is 2 3/4
slope of the line that passes through a(9,7) and b(6,5)
Answer: 2/3
Step-by-step explanation:
In a certain triangle one side has a measure of 12 and another side has a measure of 18. If the triangle is isosceles, then which of
the following could be the measure of the third side?
Answer:
20 inches feet long
Step-by-step explanation:
add 12+8
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs.
What is the price of apples on tuesday?
Answer:
The average price for all apples Mrs. Wise bought is $1.5 and this can be determined by using the unitary method.
Step-by-step explanation:
Given :
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb.
On Tuesday, apples were on sale for 20% off so she bought another 5 lbs.
If the price of 3 lbs apples is $4 then the price of 5 lbs apples is:
= $20/3
Now, determine the price of apples Mrs. Wise bought on Tuesday when apples are on 20% sale.
= $16/3
The average price is given by:
Average Price = $1.5
So, the average price for all apples Mrs. Wise bought is $1.5.
Please help me
Several points appear on the number line, which shows numbers from 0 through 1. On the number line, point M represents 0.25. What fraction does point M also represent on the number line?
Answers
A= 1/5
B= 1/3
C= 1/4
D= 1/25
Answer:
1/4
Step-by-step explanation?
Keep in mind that fractions are technically division problems.
Divide 1 by 4 and you will end up with 0.25
Next time try to answer the problem on your own :)
Find the magnitude and direction of the
vectors:-
A) which displaces A(√3,1)to B(2√3,2)
Magnitude is distance between points
[tex]\\ \rm{:}\dashrightarrow AB=\sqrt{(2\sqrt{3}-\sqrt{3})^2+(2-1)^2}=\sqrt{3+1}=2units [/tex]
Direction is slope
[tex]\\ \rm{:}\dashrightarrow \alpha=tan^{-1}(\dfrac{2-1}{\sqrt{3}})[/tex]
[tex]\\ \rm{:}\dashrightarrow \alpha=tan^{-1}(\dfrac{1}{\sqrt{3}})[/tex]
[tex]\\ \rm{:}\dashrightarrow \alpha=\dfrac{\pi}{6}[/tex]
Which of the following proves triangles are congruent
Answer:
SAA
Step-by-step explanation:
This is because we see the triangles share two equal congruent angles and the one side where they touch each other. We don't know anything about the other sides so it cannot be ASA.
The two right-angled triangles are congruent by RHS so the correct option is neither.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the given figure two triangles share a common side which is their height.
The two triangles have the same measure of angles opposite to their base,
Therefore the bases of the triangles are also congruent.
Now, we know if two right-angled triangles have the same height and base
their hypotenuse must also be the same.
Now, the hypotenuse and one of the legs of the triangle is congruent to another right-angled triangle they are congruent by RHS or right-angled hypotenuse.
learn more about congruency here :
https://brainly.com/question/7888063
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Please help me i really need it!
Answer:
1.Median= 79
2.Q3-Q1 = 82-75
= 4
- Gabby packs 25 boxes
in 2 hours. How many
boxes can she pack in
his 8-hour shift?
boxes
Answer:
Answer 100
Step-by-step explanation:
so if they can pack 25 boxes in 2 hours then you can do 8/2 which would equal four then 4*25 to get 100. You would do the division of 8 by two because you have 8 hours and it take 2 for 25 boxes.
Answer:
100 boxes
Step-by-step explanation:
25/2 to find how many boxes in one hour which is 12.5. Then, multiply that by 8 to get 100.