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rjkz [21]
3 years ago
5

Laura is a gourmet chef who runs a small catering business in a competitive industry. Laura specializes in making wedding cakes.

Laura sells 20 wedding cakes per month. Her monthly total revenue is $5,000. The marginal cost of making a wedding cake is $200. In order to maximize profits, Laura should a. continue to make 20 wedding cakes per month. b. make fewer than 20 wedding cakes per month. c. make more than 20 wedding cakes per month. d. We do not have enough information to answer the question.
Mathematics
1 answer:
iren2701 [21]3 years ago
7 0

Answer:

B.less cakes

Step-by-step explanation:

If she keeps making 20 cakes she will lose profit.

If she makes more she will lose profit.

She has to make less cakes to stop losing profits.

So the answer is B. Make less Cakes

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Question 3 A study was performed to determine whether men and women differ in their repeatability in assembling components on pr
Fed [463]

Answer:

There is no sufficient evidence to support the claim that men and women differ in repeatability for this assembly task

Step-by-step explanation:

Given

Let subscript 1 represent men and 2 represent women, respectively.

n_1 = 25

n_2 = 21

s_1 = 0.98

s_2 = 1.02

\alpha = 0.02

Required

Determine if here is enough evidence

First, we need to state the hypotheses

H_o: \sigma_1^2 = \sigma_2^2

H_1: \sigma_1^2 \ne \sigma_2^2

Next, calculate the test statistic using:

F = \frac{s_1^2}{s_2^2}

F = \frac{0.98^2}{1.02^2}

F = 0.923

Calculate the rejection region;

But first, calculate the degrees of freedom

df_1 =n_1 - 1

df_1 =25 - 1

df_1 =24

df_2 = n_2 -1

df_2 = 21 - 1

df_2 = 20

Using the F Distribution:  table

c = \frac{\alpha}{2}

c = \frac{0.02}{2}

c = 0.01

At 0.01 level (check row 20 and column 24), the critical value is:

<em></em>f_{0.01,24,20} = 2.86<em> --- the upper bound</em>

At 0.01 level (check row 24 and column 20), the critical value is:

f_{0.01,20,24} = 2.74

Calculate the inverse F distribution.

f_{0.99,20,24} = \frac{1}{f_{0.01,20,24}} = \frac{1}{2.74} =0.365 ---- the lower bound

The rejection region is then represented as:

0.365 < Test\ Statistic < 2.86

If the test statistic falls within this region, then the null hypothesis is rejected

F = 0.923 --- Test Statistic

0.365 < 0.923 < 2.86

<em>The above inequality is true; so, the null hypothesis is rejected.</em>

<em>This implies that, there is no sufficient evidence.</em>

7 0
3 years ago
If y varies directly as x, and y is 400 when x is randy is r when x is 4, what is the numeric constant of variation in this rela
juin [17]

The numeric constant of variation is 100

Step-by-step explanation:

Direct proportion means that increase in one variable cause increase in other variable

Here,

It is given that

y varies directly as x

y∝x

when the proportionality symbol is removed a proportionality constant is introduced

y = kx

Given that

y = 100 when x = 4

Putting the values

400 = k * 4\\k = \frac{400}{4}\\k = 100

The numeric constant of variation is 100

Keywords: Proportion variation

Learn more about direct proportion at:

  • brainly.com/question/1234767
  • brainly.com/question/1232765

#LearnwithBrainly

5 0
3 years ago
Solve the system by finding the determinants and using Cramer's Rule:<br> 2x - y = 4<br> 3x + y = 1
Ahat [919]

Answer:

<em>(1, - 2) </em>

Step-by-step explanation:

2x - y = 4

3x + y = 1

A = \left[\begin{array}{cc}2&-1\\3&1\end{array}\right] = 2(1) - 3( - 1) =2 + 3 = 5

A_{x} = \left[\begin{array}{cc}4&-1\\1&1\end{array}\right] = 4(1) - 1(- 1) = 4 + 1 = 5

A_{y} = \left[\begin{array}{cc}2&4\\3&1\end{array}\right] = 2(1) - 4(3) = 2 - 12 = - 10

<em>x </em>= \frac{A_{x} }{A} =<em> 1</em>

<em>y </em>= \frac{A_{y} }{A} = <em>- 2</em>

<em>(1, - 2)</em>

5 0
3 years ago
Part B: Raymond claims that = 74. Rose argues that a
N76 [4]

Answer:

there is no real question, once you add one I'll be glad to help, but with this knowledge, I can't

Step-by-step explanation:

8 0
4 years ago
6th-grade math DUE IN 5 MIN
Veseljchak [2.6K]

Answer:

272?

Step-by-step explanation:

10 x 8 = 80

12 x 16 = 192

192 + 80 = 272.

Not sure

3 0
3 years ago
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