AnswersFinancial MathModeling for Business: Part Two

Modeling for Business: Part Two — Test Answers

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41
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A company manufactures organic juice and uses this demand function to determine the amount it should make at different prices: q=100−2⁢p The revenue and expense functions are given by: R⁡(p)=100⁢p−2⁢p^2 and E⁡(p)=1,200−10⁢p What is the profit equation P⁡(p) in terms of price p ?

A
cap p times p is equal to 2 p squared plus 110 p minus 1 comma 200
B
cap p times p is equal to negative 2 p squared plus 100 p minus 1 comma 200
C
cap p times p is equal to 2 p squared plus 110 p plus 1 comma 200
D
cap p times p is equal to negative 2 p squared plus 110 p minus 1 comma 200
42
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Which statement about the scatterplot is true?

A
Faster response times usually improve customer retention, but only up to a point, after which it levels off.
B
Slower response times are associated with better customer retention.
C
There is no noticeable trend between how fast customer service responds and the customer retention rate.
D
The faster the customer service response time, the higher the customer retention.
43

Match each financial term with its correct example. Each example corresponds to only one term.

Answer:

$300,000 in equipment and inventory|$200,000 loan payable|$500,000 from sales of products|$50,000 spent on rent and utilities|$250,000 remaining after all expenses are deducted from revenue

44

Analyze each business's profits and revenues. Which business earns the most profit compared to its revenue?

A
Business A earns the most.
B
Business C earns the most.
C
Business B earns the most.
D
Business A and Business B earn the same.
45

What aspect should you prioritize if you are looking for a research source that provides a balanced view on a controversial topic?

A
source’s popularity on social media
B
cost of accessing the source
C
colorful graphics used in the source
D
unbiased information and multiple perspectives
46

Graph the scatterplot made from the data.

Answer:

point; 4; 6; 8; 14; 12; 18; 16; 15; 20

48

Choose the correct answer from each drop-down menu to complete the statement.

Answer:

total membership|members who received discounts

49

What does the standard deviation of 4 purchases per month for loyalty program members suggest about their buying behavior?

A
Most customers made fewer than 6 purchases per month.
B
All customers who are part of the loyalty program make exactly 10 purchases per month.
C
The program did not affect customer purchases.
D
There was significant variation in the number of purchases made by loyalty program customers.
51

Based on the study's results, which statement about the loyalty program's impact is most accurate?

A
Despite the high average purchase frequency, the loyalty program had no measurable impact on customer purchases, as shown by the standard deviation.
B
Customers who did not join the loyalty program made as many purchases as those who joined.
C
The average purchase frequency is higher for loyalty program members, but the standard deviation shows that purchase behavior varies widely among participants.
D
The loyalty program increased purchase frequency for all customers equally.
52

A car dealership wants to increase its monthly vehicle sales. Which statistical question would help achieve this goal?

A
What is the total inventory of vehicles at the dealership?
B
How do monthly sales vary by vehicle model?
C
How many salespeople are working during peak hours?
D
What is the average time taken to complete a sale?
54

A company manufactures organic juice and uses this demand function to determine the amount it should make at different prices: q=100−2⁢p The revenue and expense functions are given by: R⁡(p)=100⁢p−2⁢p^2 and E⁡(p)=1,200−10⁢p What is the profit equation P⁡(p) in terms of price p ?

A
cap p times p is equal to negative 2 p squared plus 100 p minus 1 comma 200
B
cap p times p is equal to negative 2 p squared plus 110 p minus 1 comma 200
C
cap p times p is equal to 2 p squared plus 110 p plus 1 comma 200
D
cap p times p is equal to 2 p squared plus 110 p minus 1 comma 200
55

What is the standard deviation of the number of establishments?

A
75 point 1 2
B
91 point 9 6
C
81 point 7 9
D
86 point 3 4
56

What aspect should you prioritize if you are looking for a research source that provides a balanced view on a controversial topic?

A
unbiased information and multiple perspectives
B
colorful graphics used in the source
C
cost of accessing the source
D
source’s popularity on social media
57

What is the mean of the number of establishments?

A
1 comma 062 point 1 4
B
1 comma 035 point 7 1
C
1 comma 025
D
1 comma 150
58

Match each financial term with its correct example. Each example corresponds to only one term.

Answer:

$300,000 in equipment and inventory|$200,000 loan payable|$500,000 from sales of products|$50,000 spent on rent and utilities|$250,000 remaining after all expenses are deducted from revenue

59

Which formula can you use to find the amount in cell E6?

A
=SUM(CE3:E6)
B
=SUM(D3:D5)
C
=D6-C6
D
=C6+D6
60

Which formula can you use to find the amount in cell E6?

A
=D6-C6
B
=C6+D6
C
=SUM(D3:D5)
D
=SUM(CE3:E6)

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