AnswersFinancial MathModeling for Business: Part Two

Modeling for Business: Part Two — Test Answers

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1
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Using a regression calculator, which quadratic equation best models the relationship between the number of promotional campaigns and sales revenue?

A
y=20.54⁢x2+163.8⁢x−55
B
y=20.54⁢x2−163.8⁢x+55
C
y=−20.54⁢x2−163.8⁢x+55
D
y=−20.54⁢x2+163.8⁢x+55
3

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

A
All customers who are part of the loyalty program make exactly 10 purchases per month.
B
There was significant variation in the number of purchases made by loyalty program customers.
C
The program did not affect customer purchases.
D
Most customers made fewer than 6 purchases per month.
4

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

A
The loyalty program increased purchase frequency for all customers equally.
B
The average purchase frequency is higher for loyalty program members, but the standard deviation shows that purchase behavior varies widely among participants.
C
Despite the high average purchase frequency, the loyalty program had no measurable impact on customer purchases, as shown by the standard deviation.
D
Customers who did not join the loyalty program made as many purchases as those who joined.
5

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 B earns the most.
C
Business A and Business B earn the same.
D
Business C earns the most.
6

What action could AquaPure Water Systems take to improve its financial health based on the trends shown in the graph?

A
stop investing in product development
B
increase expenses without increasing revenue
C
increase marketing efforts to boost sales and revenue
D
continue with the current business strategy
9

Which statement is true based on the data and the regression equation?

A
The demand will increase steadily as the price rises beyond 300 dollars.
B
Demand will increase as the price rises until it reaches 396 dollars, and then it will decrease further if the price increases.
C
Demand will decrease as the price rises until it reaches 642 dollars, which will increase further if the price increases.
D
The demand will remain unchanged as the price increases from 400 dollars to 600 dollars.
10

What is the total actual amount spent on expenses?

A
13 dollars comma 200
B
13 dollars comma 500
C
13 dollars comma 250
D
13 dollars comma 750
11

How much is the clothing shop's profit or loss compared to the budgeted amount?

A
1 dollars comma 800 profit
B
50 dollars loss
C
50 dollars profit
D
1 dollars comma 750 loss
12

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
What is the average time taken to complete a sale?
D
How many salespeople are working during peak hours?
13

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

A
colorful graphics used in the source
B
source’s popularity on social media
C
unbiased information and multiple perspectives
D
cost of accessing the source
15

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 110 p minus 1 comma 200
B
cap p times p is equal to 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 negative 2 p squared plus 100 p minus 1 comma 200
16

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

17

What is the mean of the number of establishments?

A
1 comma 025
B
1 comma 150
C
1 comma 035 point 7 1
D
1 comma 062 point 1 4
18

What is the standard deviation of the number of establishments?

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

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