Will Washington DC be able to receive the 500 containers of product by the end of the day? If not, how many containers can Jenny tell the Washington DC store they will receive? What is the plan for transporting the products?

Practical Management Science
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Chapter2: Introduction To Spreadsheet Modeling
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**Title: Logistics and Capacity Management in Mid-Atlantic Retail Operations**

**Introduction**

Jenny Dewey serves as an operations manager for a regional chain of retail stores in the mid-Atlantic states, inclusive of two sites in central Virginia, one in North Carolina, Maryland, and Washington DC. These retail locations receive their products from a distribution center (DC) situated west of Richmond, Virginia.

**Daily Operations**

Every morning, five large trucks are loaded at the DC with orders designated for each store. Considering loading durations at the DC and unloading timelines at the retail locations, shipments are typically received at each store around midday. Post-unloading, the trucks return to the DC by evening to prep for the next day’s endeavors. Generally, each truck departs fully loaded, but occasionally there is some surplus capacity. At around 2:00 PM daily, large vans are employed to transfer products that are overly stocked at one location to those where they are in deficit.

**Situation Overview**

Earlier in the day, Jenny received a request from the Washington location to fulfill an important order of 500 containers. Unfortunately, deliveries to Virginia Beach and Washington had already commenced. However, trucks destined for Maryland, Richmond, and North Carolina had a spare capacity of 200, 200, and 150 containers, respectively. Subsequently, Jenny inquired about the estimated capacities for the store-to-store vans, as depicted in the following network diagram.

**Network Diagram Analysis**

The diagram illustrates the flow of containers between various locations:

- **Central Distribution**: Direct links to Richmond (200 containers) and North Carolina (150 containers).
- **Richmond**: Links to/from Maryland (100 eastward, 200 westward), to/from Maryland (125 northward, 230 southward), to/from North Carolina (145 southward, 120 northward), and links to/from Virginia Beach (270 eastward, 130 westward).
- **Virginia Beach**: Connected to/from Washington DC (80 eastward, 50 westward).
- **Washington DC**: Has connections to Virginia Beach and Maryland (150 northward) and Richmond (145 southward).

**Questions**

1. **Can Washington DC receive the 500 containers today? If not, how many containers can be assured?**

2. **What is the optimal plan for transporting the products?**

**Conclusion**

Jenny needs to analyze the network capacity and employ strategic planning to meet the urgent Washington DC request while considering the available capacities from
Transcribed Image Text:**Title: Logistics and Capacity Management in Mid-Atlantic Retail Operations** **Introduction** Jenny Dewey serves as an operations manager for a regional chain of retail stores in the mid-Atlantic states, inclusive of two sites in central Virginia, one in North Carolina, Maryland, and Washington DC. These retail locations receive their products from a distribution center (DC) situated west of Richmond, Virginia. **Daily Operations** Every morning, five large trucks are loaded at the DC with orders designated for each store. Considering loading durations at the DC and unloading timelines at the retail locations, shipments are typically received at each store around midday. Post-unloading, the trucks return to the DC by evening to prep for the next day’s endeavors. Generally, each truck departs fully loaded, but occasionally there is some surplus capacity. At around 2:00 PM daily, large vans are employed to transfer products that are overly stocked at one location to those where they are in deficit. **Situation Overview** Earlier in the day, Jenny received a request from the Washington location to fulfill an important order of 500 containers. Unfortunately, deliveries to Virginia Beach and Washington had already commenced. However, trucks destined for Maryland, Richmond, and North Carolina had a spare capacity of 200, 200, and 150 containers, respectively. Subsequently, Jenny inquired about the estimated capacities for the store-to-store vans, as depicted in the following network diagram. **Network Diagram Analysis** The diagram illustrates the flow of containers between various locations: - **Central Distribution**: Direct links to Richmond (200 containers) and North Carolina (150 containers). - **Richmond**: Links to/from Maryland (100 eastward, 200 westward), to/from Maryland (125 northward, 230 southward), to/from North Carolina (145 southward, 120 northward), and links to/from Virginia Beach (270 eastward, 130 westward). - **Virginia Beach**: Connected to/from Washington DC (80 eastward, 50 westward). - **Washington DC**: Has connections to Virginia Beach and Maryland (150 northward) and Richmond (145 southward). **Questions** 1. **Can Washington DC receive the 500 containers today? If not, how many containers can be assured?** 2. **What is the optimal plan for transporting the products?** **Conclusion** Jenny needs to analyze the network capacity and employ strategic planning to meet the urgent Washington DC request while considering the available capacities from
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