Food On Wheels is a food delivery company operating in the capital of Delaware. They sell standard boxes containing eight full healthy meals. Boxes are prepared in two ghost kitchens and delivered by bike to five city areas. Daily demand of boxes per city area is shared in Table 1.

Each ghost kitchen has a limited daily capacity to prepare boxes (see Table 2).

Regarding deliveries, boxes are bulky, therefore a bike can only deliver safely one box at a time. There are many bikers in the city that work for Food On Wheels on call, so availability of bikes to do the deliveries can be considered unlimited. The delivery time in minutes from kitchen to city area is shared in Table 3.

Table 1:Daily demand per city area (in boxes).

	Demand (in boxes per day)
Area 1	87
Area 2	54
Area 3	75
Area 4	55
Area 5	83

Table 2:Kitchens' daily capacity (in boxes).

	Capacity (in boxes per day)
Kitchen 1	250
Kitchen 2	350

Table 3:Delivery time from kitchen to city area (in minutes).

	Kitchen 1	Kitchen 2
Area 1	17	7
Area 2	5	8
Area 3	16	19
Area 4	16	5
Area 5	12	15

Minimizing delivery time is of utmost importance to keep customers happy. Food On Wheels has hired you to help them optimize their last mile logistics. Your first task is to create a model that helps them decide which orders to serve from each kitchen to minimize total delivery time.

What would be the minimum total delivery time (in minutes)?

Round your answer to the nearest integer.

unanswered

SaveSave your answer

Submit

You have used 0 of 2 attemptsSome problems have options such as save, reset, hints, or show answer. These options follow the Submit button.

Question 2

7.0 points possible (graded, results hidden)

Food On Wheels has implemented a new policy to reduce costs. All orders will be prepared in a central kitchen, sent to three distribution hubs in the city by motorbike and then delivered from the hubs to the city areas by bike.

Table 4:Delivery time from central kitchen to distribution hubs (in minutes).

	Hub 1	Hub 2	Hub 3
Central kitchen	10	15	20

Table 5:Delivery time from distribution hubs to city areas (in minutes).

	Hub 1	Hub 2	Hub 3
Area 1	13	3	15
Area 2	7	4	3
Area 3	14	11	11
Area 4	14	8	11
Area 5	13	7	10

Table 6:Distribution hubs' daily capacity (in boxes).

	Hub 1	Hub 2	Hub 3
Capacity	150	200	150

What would be the minimum total delivery time (in minutes) for this distribution network?

Round your answer to the nearest integer.

unanswered

SaveSave your answer

Submit

You have used 0 of 2 attemptsSome problems have options such as save, reset, hints, or show answer. These options follow the Submit button.

Question 3

7.0 points possible (graded, results hidden)

Food On Wheels is considering to open a fourth distribution hub. The coordinates of the city areas are shared in Table 7.

Table 7: X and Y coordinates in custom grid for each city area.

	x	y
Area 1	59.9	14.3
Area 2	30.8	67.2
Area 3	52.4	65.7
Area 4	66.1	67.6
Area 5	19.6	62.9

Assuming an Euclidean surface, and including only the city areas and their daily demand (Table 1) in the calculation, please use thecenter of gravity methodto find the ideal location for the new hub.

What would be the X coordinate for the new hub using the center of gravity method?

Round your answer to two decimal places.

unanswered

What would be the Y coordinate for the new hub using the center of gravity method?

Round your answer to two decimal places.

unanswered

SaveSave your answer

Submit

You have used 0 of 2 attemptsSome problems have options such as save, reset, hints, or show answer. These options follow the Submit button.

Question 4

7.0 points possible (graded, results hidden)

Assuming an Euclidean surface, and including only the city areas coordinates (Table 7) and their daily demand (Table 1) in the calculation, please use theWeber methodto find the ideal location for the new hub.

What would be the X coordinate for the new hub using the Weber method?

Round your answer to two decimal places.

unanswered

What would be the Y coordinate for the new hub using the Weber method?

Round your answer to two decimal places.

unanswered

SaveSave your answer

Submit

You have used 0 of 2 attemptsSome problems have options such as save, reset, hints, or show answer. These options follow the Submit button.

Question 5

7.0 points possible (graded, results hidden)

Food On Wheels appreciates your analysis and suggestions, but after running the idea with the finance team they got to the conclusion that buying a location and building a new hub would be too big of an investment. They prefer to rent an existing hub and see if operations improve. There are three options currently available in the city: Hub 4, Hub 5, and Hub 6. Create a model that helps the company decide which hub to rent(only one hub)in order to minimize the total delivery time. Note that you can still use the existing hubs in the model to make this decision.

Table 8:Delivery time from central kitchen to potential NEW distribution hub options (in minutes).

	Hub 4	Hub 5	Hub 6
Central kitchen	7	18	12

Table 9:Delivery time from potential NEW distribution hub options to city areas (in minutes).

	Hub 4	Hub 5	Hub 6
Area 1	10	5	13
Area 2	13	8	5
Area 3	14	4	8
Area 4	8	9	7
Area 5	12	11	10

Table 10:Potential NEW distribution hub options' daily capacity (in boxes).

	Hub 4	Hub 5	Hub 6
Capacity	200	200	200

Which hub should Food On Wheels rent?

Select the right answer.

Hub 4

Hub 5

Hub 6

unanswered

What would be the minimum total delivery time (in minutes) for this distribution network ?