Sales and prices of a new package delivery service offered by a logistics company for the first 29 weeks are given below. Estimate the appropriate demand function for sales using regression analysis to obtain an estimate of price elasticity. What recommendation would you make to the company based on your estimation?

Package Delivery Service

Week

Unit Sales

Price

1

140

5.00

2

195

5.00

3

268

5.00

4

481

5.00

5

411

5.00

6

481

5.00

7

525

8.50

8

527

8.50

9

547

8.50

10

502

8.50

11

511

8.50

12

534

8.50

13

559

10.00

14

575

10.00

15

592

10.00

16

661

10.00

17

764

10.00

18

794

10.00

19

805

11.50

20

745

11.50

21

859

11.50

22

982

11.50

23

987

11.50

24

1034

11.50

25

1090

11.50

26

1156

11.50

27

1194

12.50

28

1370

12.50

29

1304

12.50