Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A newsboy sells newspapers and his goal is to maximize profit. He kept a record

ID: 337601 • Letter: A

Question

A newsboy sells newspapers and his goal is to maximize profit. He kept a record of his sales for 125 days with the following result. His ordering policy is to order an amount each day that is equal to the previous day's demand. A newspaper costs the carrier 50 cents and he sells it for $1.00. Unsold papers are returned and he receives 25 cents (for a loss of 25 cents).

Newspapers demand per day

Number

of days

15

10

16

20

17

42

18

31

19

12

20

10

Total

125

Newspapers demanded

per day

Number of Days

Probability

Cumulative Probability

15

10

0.08

0.08

16

20

0.16

0.24

17

42

0.336

0.58

18

31

0.248

0.82

19

12

0.096

0.92

20

10

0.08

1

Total

125

1.864

3.64

Use the information and random numbers given in the table below to simulate the sale of newspapers for 10 days.

Day

Demand

Random Number

Quantity Ordered

Sales

Unsatisfied Demand

Unsold Papers

1

.78

18

2

.43

3

.93

4

.87

5

.48

6

.84

7

.87

8

.27

9

.20

10

.52

12. After completing the simulation, determine his total revenue for the ten days. _____

13. After completing the simulation, determine the monetary losses that result from unmet demand and unsold papers.   _____

Newspapers demand per day

Number

of days

15

10

16

20

17

42

18

31

19

12

20

10

Total

125

Explanation / Answer

A newsboy sells newspapers and his goal is to maximize profit. He kept a record of his sales for 125 days with the following result. His ordering policy is to order an amount each day that is equal to the previous day's demand. A newspaper costs the carrier 50 cents and he sells it for $1.00. Unsold papers are returned and he receives 25 cents (for a loss of 25 cents).

Newspapers demand per day

Number

of days

15

10

16

20

17

42

18

31

19

12

20

10

Total

125

Newspapers demanded

per day

Number of Days

Probability

Cumulative Probability

15

10

0.08

0.08

16

20

0.16

0.24

17

42

0.336

0.58

18

31

0.248

0.82

19

12

0.096

0.92

20

10

0.08

1

Total

125

1.864

3.64

Use the information and random numbers given in the table below to simulate the sale of newspapers for 10 days.

Day

Demand

Random Number

Quantity Ordered

Sales

Unsatisfied Demand

Unsold Papers

1

.78

18

2

.43

3

.93

4

.87

5

.48

6

.84

7

.87

8

.27

9

.20

10

.52

12. After completing the simulation, determine his total revenue for the ten days. _____

13. After completing the simulation, determine the monetary losses that result from unmet demand and unsold papers.   _____

Newspapers demand per day

Number

of days

15

10

16

20

17

42

18

31

19

12

20

10

Total

125

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote