answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Iteru [2.4K]
2 years ago
10

Kristin owns a bakery called Kristin's Cakes n' Such and is considering lowering the price of her cakes. Kristin polls her custo

mers and determines that she can sell 100 cakes each week when she chargers $25 each. She also discovers that for every $1 decrease in the price of the cake, she will sell 5 more cakes. At what price should Kristin sell her cakes in order to reach he maximum potential revenue?
Mathematics
1 answer:
azamat2 years ago
7 0
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
                               y = (25 - x)(100 + 5x)
Simplifying, 
                              y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
                             dy/dx = 0 = 25 - 10x
The value of x is 2.5. 
 The price of the cake should be 25 - 2.5 = 22.5. 
Thus, the price of the cake that will give the maximum potential revenue is $22.5. 
You might be interested in
Triangle A B C is reflected across line m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated
Helga [31]

Answer:

  1. reflection across line m
  2. rotation about point A'

Step-by-step explanation:

The problem statement tells you exactly what the transformations are.

The first transformation is reflection across line m.

The second transformation is rotation about point A'.

_____

These are both rigid transformations, so ΔABC ≅ A'B''C''.

6 0
1 year ago
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is hav
inna [77]

Answer:

57

Step-by-step explanation:

Subtract one player from the total number, because one has to block.

19

Multiply this by the number of goalies there are.

19*3=57

There will be 57 kicks.

3 0
1 year ago
he data set gives the number of hours it took each of the 10 students in a cooking class to master a particular technique. {5, 3
sergeinik [125]

The best measure of center tendency for this set of data would be the median. It is the best measurement because the data set has an outlier. The outlier is the 30. So to find the median we first order the data set and then find out if the set is an even or odd set. This set is even so we just chose the middle number. If the set was even, we would add the two center number and divide them by 2.

3, 3, 4, 4, 4, 5, 5, 5, 30

The center tendency = 4

8 0
2 years ago
Read 2 more answers
A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12
marissa [1.9K]

Answer:

Step-by-step explanation:

Hello!

You have two random samples obtained from two different normal populations.

Sample 1

n₁= 15

X[bar]₁= 350

S₁= 12

Sample 2

n₂= 17

X[bar]₂= 342

S₂= 15

At α: 0.05 you need to obtain the p-value for testing variances for a one tailed test.

If the statistic hypotheses are:

H₀: σ₁² ≥ σ₂²

H₁: σ₁² < σ₂²

The statistic to test the variances ratio is the Stenecor's-F test. F_{H_0}=(\frac{S^2_1}{Sigma^2_1}) * (\frac{S^2_2}{Sigma^2_2} )~F_{n_1-1;n_2-1}

F_{H_0}= \frac{(12)^2}{(15)^2} * 1= 0.64

The p-value is:

P(F_{14;16}≤0.64)= 0.02

I hope it helps!

7 0
2 years ago
in september 2016, the cost of gasoline in Berlin was around 1.25 euros per liter. what would the equivalent cost be in u.s. dol
AnnZ [28]

Answer:

roughly 1.50

Step-by-step explanation:

1 euro was 1.08 usd in 2016. common sense it's around 1.50

4 0
2 years ago
Read 2 more answers
Other questions:
  • Explain how knowing 1+7 helps you find the sum for 7+1
    5·2 answers
  • Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9.84%, compounded eve
    12·2 answers
  • How did the prison dentist help the inmate to go straight
    13·2 answers
  • The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the
    11·1 answer
  • Bill removed the ten of spades and the king of hearts from a deck of standard playing cards and threw them in the trash. There w
    10·1 answer
  • 7. Certain car manufacturers install a gauge that tells the driver how many miles they can drive
    13·1 answer
  • The table shows data from Vicente's Form 1040. Gross income $75,000 Standard deduction $12,000 Taxable income $63,000 Total inco
    15·1 answer
  • If m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure.
    9·1 answer
  • In the adjoining figure , AB = 6 , BC = 8 , <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1" title=" \angle" alt=
    11·2 answers
  • Between 20 to 35 degrees north latitude, and also between 20 to 35 degrees south latitude are found:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!