OM300: Homework #7

1. The Bakers Dozen Restaurant is considering opening a new location. It has considered many factors and identified the ones that are most important. Two locations are being evaluated based on these factors, using factor rating. Each location has been evaluated relative to the factors on a 5-point scale. These numbers are shown here. Use factor rating to help the restaurant decide on the better location.

Factor Score at Each Location

Factor Factor Weight Location 1 Location 2

Proximity to customers 30 5 2

Proximity to competition 10 4 2

Proximity to labor supply 30 2 5

Transportation system 20 5 3

Quality of life 10 3 5

2. Given here are the coordinates for each of the four towns to be serviced by the warehouse in Problem 15. Use the information from Problem 15 and the center of gravity method to determine coordinates for thewarehouse.

TOWN Coordinates (X,Y)

A (4,18)

B (12,2)

C (10,8)

D (8,15)

1. (30) p. 338, Problem 14.

a. Calculate the total weighted score for Location 1 by hand.

b. Create an excel spreadsheet to calculate the total weighted score for both

locations. Submit two “screen snapshots” of your EXCEL spreadsheet.

The first printout should show your solution, and the second should

display the formulas, gridlines, and the row and column headings.

c. Recommend which location should be chosen based on these total weighted

scores.

2. (35) p. 338, Problem 16.

a. Calculate the coordinates for the new warehouse by hand using the centerof-

gravity heuristic.

b. Develop and use an excel spreadsheet to find the optimal center-of-gravity

coordinates for the new warehouse and compare this location with the one

you computed in part (a) above. Submit two “screen snapshots” of your

EXCEL spreadsheet. The first printout should show your solution and

the Solver dialog settings, while the second should display the formulas,

gridlines, and the row and column headings.

3. (35) Peapod, an internet grocery distributor, delivers groceries to customers from its

distribution center in Atlanta. Each delivery van can carry up to 200 cases of

product. Peapod needs to coordinate the delivery of orders to 4 customers today.

The distances and order quantities for each of these 4 customers are given in the

table below. Use the procedure described in class to solve this vehicle routing

problem and compute the total mileage of the resulting solution.

Location DC

Cust.

1

Cust.

2

Cust.

3

Cust.

4

Order Size

(cases)

DC — 12.0 7.8 16.6 15.0

Cust. 1 12.0 — 9.2 7.6 9.0 48

Cust. 2 7.8 9.2 — 10.0 7.6 36

Cust. 3 16.6 7.6 10.0 — 3.6 43

Cust. 4 15.0 9.0 7.6 3.6 — 92