Answer:
The price to make maximum revenue is 1 and the maximum revenue is 2000.
Step-by-step explanation:
Consider the provided information.
Revenue is the product of the number of sales and the sales price.
Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].
[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]
[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.
The vertex(axis of symmetry) of a downward parabola has the maximum point.
The axis of symmetry is [tex]x=\frac{-b}{2a}[/tex] for the quadratic equation [tex]ax^2+bx+c=0[/tex].
By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:
[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]
Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .
[tex]p=\frac{-4000}{2(-2000)}[/tex]
[tex]p=1[/tex]
So revenue will be maximum for [tex]p=1[/tex].
Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]
[tex]\text{Revenue}=-2000 + 4000[/tex]
[tex]\text{Revenue}=2000[/tex]
Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.
Maximum revenue generated = $2000
Price at which the maximum revenue is generated = $1
Maximization of the revenue:
Steps to find the maximum revenue,
Find the equation for the revenue generated.Find the derivative of the expression for revenue and equate it to zero.Find the value of the variable and substitute it in the expression for the revenue generated.Given in the question,
Price of one cookie = p Linear relationship between the number of cookies sold 'x' and price of a cookie 'p',x = -2000p + 4000
Expression for the revenue generated = Price of one cookie × Number of cookies sold
R = p(-2000p + 4000)
R = -2000p² + 4000p
For the maximum revenue,
"Find the derivative of the expression for revenue and equate it to zero"
R' = -4000p + 4000 = 0
4000p = 4000
p = $1
For p = 1,
R = -2000(1) + 4000
R = $2000
Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.
Learn more about the maximization here,
https://brainly.com/question/11859895?referrer=searchResults
What is 8/9 of 360 degree ?
Answer:
320 degrees.
Step-by-step explanation:
A parachute slows a skydiver from 85 m/s to 45 m/s in 4.5 seconds?
What is the acceleration of the parachute? A. 8.9 m/s2 B. -8.9 m/s2 C.0.1 m/s2 D. -0.1 m/s2
Answer:
c - because if u divide u will get your answer sorry if im not makeing sense
Help me out i need help
Answer:
false, true and false
Step-by-step explanation:
PLEASE HURRY!!!!!!!
I PROMISE TO VOTE BRAINLIEST!!!!!!
Please help!!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses
b. 2x - 7 and the opposite of 2x
Answer :
Sum = 2x-7 + (-2x) and equivalent expression = -7
Step-by-step explanation:
First number is (2x-7) and other number is opposite of 2x i.e. (-2x).
We need to write the sum of 2x - 7 and the opposite of 2x
Opposite of 2x is (-2x)
Sum means to add the number :
2x-7 + (-2x)
Removing parentheses,
2x-7 - 2x
Taking like terms together,
2x-2x-7= 0-7
= -7
Hence, the answer is -7.
Simplify. 4(w-5)-6w please help ASAP
Answer:
-2w-20
Step-by-step explanation:
distribute => 4w-20-6w = -2w-20
Answer:
-2w - 20
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
4(w - 5) - 6w
Step 2: Simplify
Distribute 4: 4w - 20 - 6wCombine like terms: -2w - 20For homework, a teacher instructs her students to choose a county in their state for a social
studies project. Since they live in a small state, repeats are allowed.
Are these two events dependent or independent?
Answer:
they are dependent
Step-by-step explanation:
I WILL GIVE YOU BRAINLY PLSS
What is the solution of x + 6 11
C. x –1
PLSS SHOW YOUR WORK PLSS
I need help I don’t get the question
Answer:
2
Step-by-step explanation:
9x-7 = 7x-3
9x-7x = 2x
2x -7 = -3
+7 +7
2x=4
x=2
In Ms. Price's class, students were asked to name the sport that they watch most often on
television
8 students named baseball,
7 students named football,
5 students named basketball,
What is the ratio of the number of students who watched basketball most often to the total
number of students? *
11 point
Answer:
The ratio of number of students who watched basketball most often to the total number of students is 5 to 20 or 5:20
Step-by-step explanation:
Because 5 students named basketball as the spot the watch most often on television, while 8 of them said baseball and 7 said football. To find the total numbers of students we have to add all the students together so 8 + 7 is 15 and 15 + 5 is 20.
Hoped this help :)
A battery factory typically produces 12,000 batteries per day and uses 50 boxes for packing the battiest. If the number of boxes needed for packing is proportional to the number of batteries produced, how many more boxes would be needed in a day when 18,000 battiest are produced
Answer:
Number of extra boxes= 120
Step-by-step explanation:
Giving the following information:
Batteries per box= 50
Number of batteries= 18,000
Number of batteries in ecxess= 6,000
We need to calculate the number of boxes required to cover the 6,000 extra batteries:
Number of extra boxes= number of batteries / batteries per box
Number of extra boxes= 6,000 / 50
Number of extra boxes= 120
Simplify the expression.
0.2(2b - 15c)
Step-by-step explanation:
=0.2(2b-15c)
=0.4b-3c
hope it helps.
An orange cone has an
exact volume of 1207T ft3.
What is the height of the
cone if the radius is 6 ft?
Answer:
32.01 ft
Step-by-step explanation:
Step one:
given data
Volume of 1207T ft3.
the radius is 6 ft
Step two:
The volume of a cone is given as
[tex]V=1/3 \pi r^2h[/tex]
substitute
1207= 1/3*3.142*6^2*h
1207= 37.704h
divide both sides by 37.704
1207/37.704= h
h= 32.01 ft
Please help me. I need a step by step explanation.
Answer:
u can make me branliyest then i will help u
Step-by-step explanation:
Answer:
Answer for the first part: x = 0 so f(x) = 4
Answer for the second part: f(-2) = 2
Step-by-step explanation:
In order to solve the first prat of the problem you will just have to find a point on the function that has a y coridnate of 4, and the x cordinate of the exactly the same point will be the answer to your question. So in our case there is only one point like that and it (0,4). So that means the value of x for whcih f(x) = 4 is x = 0.
Now in order to answer the second part of this problem you will just have to find on a function with the x coridnate being -2, and the y cordinate of the exactly the same point will be the answer. In our case there is only one point liket aht and it is the point (-2,2). So that means taht the answer to the second part of the problem is f(-2) = 2.
Which does the ratio 17:44 represent?
Answer:
Step-by-step explanation:
the part-to-whole relationship between homework help and sports
Which value is not equivalent 0.37 0.370 37/100
6d + 7 = 61 what does d equal?
Answer:
i would reword this to 6x+7=61
Step-by-step explanation:
So.
move the 7 to the right side of the equation but as an opposite number so in this case its gonna be a negative
61-7=54
then you divide the number and get your missing numbers
54/6=9
d=9
plug it in
6(9)+7=61
Can someone help me with this, I don't understand.
What is 37 / 492 show your work
Rajan had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did he have left for gift C?
Answer:
$15 1/10
Step-by-step explanation:
Given that :
Total amount to spend = $30
Amount spent on Gift A = $9 1/4
Amount spent on Gift B = $5 4/5
Amount left to spend on gift C ;
$30 - (9 1/4 + 5 4/5)
$30 - (37/4 + 29/5)
$30 - (185 + 116)/20
$30 - 298/20
30/1 - 298/20
$(600 - 298) / 20
$302/20
$15 2/20
= $15 1/10
Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please
Answer:
12.6
Step-by-step explanation:
Given
with reference angle 57°
perpendicular (p) = y
hypotenuse (h) = 15
Now
sin 57° = p / h
0.84 = y / 15
y = 0.84 * 15
y = 12.6
Hope it will help :)
Solve for x
30°
9x - 3
PLEASE HELP WILL MARK BRAINLIEST!!!!
Work out the value of (1.7X10^4) X (8.5X10^-2) in standard form
Answer:
1.445 × 10³ hope it helped goodluck!
A line has a slope of 6 and a y-intercept of 5. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
The equation in slope-intercept form is y = 6x + 5
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptLet us solve the question
∵ A line has a slope of 6
∵ m is the slope of the line
∴ m = 6
∵ The line has a y-intercept of 5
∵ b is the y-intercept
∴ b = 5
→ Substitute the values of m and b in the slope-intercept form
∵ y = m x + b
∴ y = 6x + 5
∴ The equation in slope-intercept form is y = 6x + 5
HELP IT NOT FORM IT FOR MY LITTLE SIS IM TO LAZY PLEASE HELP!!!!
1. 1/2 x 2/3
2.1/2 x 2/3 x3/4
3. 1/5 x 1/2 x 7/8
4. 1/8 x 4/7
5. 2/3 x 1/6
6. 2/5 x 1/4
7. 7/54 x 9/49
caculate
1. [tex](2/3)x^{2}[/tex])
2. [tex]1 1/2x^{2}[/tex]
Pls help I will give BRAINLIEST
Answer: M<2=38 m<3=142 m<4=38
Step-by-step explanation:
142+142+38+38=360-Both side
142+38=180- one side
180-142=38
Answers:
angle 2 = 38 degreesangle 3 = 142 degreesangle 4 = 38 degrees========================================================
Explanation:
Angle 1 is given to be 142 degrees. Angle 3 is equal to this measure since vertical angles are congruent. Vertical angles are angles that form when you have an X shape like this. They are opposite angles.
Angles 2 and 4 are the other pair of congruent vertical angles. This means angle 2 = angle 4.
Note how angle 1 and angle 2 form a straight line. These two angles add to 180.
(angle1) + (angle2) = 180
(142) + (angle2) = 180
angle2 = 180-142
angle2 = 38 degrees
angle 4 is also 38 degrees since angles 2 and 4 are a congruent vertical angle pairing.
HELP!!!!! Suppose the distance between two cities on a map is 5.2in the scale is 1 in =80miles what's the actual distance between the cities.
A) 408 miles
B) 400 miles
C) 424 miles
D) 416 miles
Answer:
80*5.2= 416
D: 416 miles
i need help fast with this problem
Answer:
6 is the answer
Step-by-step explanation:
please help>>>>>>>>>>>>>>>>
Answer:
The answer is B, -5 is a rational number and integer! :)
Step-by-step explanation:
Answer: My guess is integer only
Step-by-step explanation: