XYZ Corporation operates two plants, each of which has a capacity of 170 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 15 units per day while customer D has a demand of 295 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Plant 1 Plant 2 Customer A 16 19 Plant 1 Plant 2 Customer B 17 20 Customer C 12 20 Customer D 24 12 a. How many units should XYZ ship from each plant to each customer? (Leave no cells blank-be certain to enter "0" wherever required. Round your answer to the nearest whole number.) Customer A Customer B Customer C Customer D

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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### Problem Description:

XYZ Corporation operates two plants, each with a daily capacity of 170 units. Each day, XYZ must ship products to four customers: A, B, C, and D. Customers A, B, and C each require 15 units per day, while Customer D requires 295 units per day. The cost per unit to ship from each plant to each customer is shown in the table below.

|               | Customer A | Customer B | Customer C | Customer D |
|---------------|------------|------------|------------|------------|
| **Plant 1**   | 16         | 17         | 12         | 24         |
| **Plant 2**   | 19         | 20         | 20         | 12         |

### Questions:

#### a. Distribution Requirement:

- **Question:** How many units should XYZ ship from each plant to each customer?
- **Instructions:** Leave no cells blank and ensure to enter "0" where required. Round your answer to the nearest whole number.
  
|               | Customer A | Customer B | Customer C | Customer D |
|---------------|------------|------------|------------|------------|
| **Plant 1**   |            |            |            |            |
| **Plant 2**   |            |            |            |            |

#### b. Cost Calculation:

- **Question:** What is the least amount XYZ will spend on shipping each day?
- **Instructions:** Round your answers to 2 decimal places.

|               |
|---------------|
| **Least XYZ** |

This graphic contains a table of costs per unit for shipping products from two plants to four customers. The goal is to determine the optimal number of units to ship from each plant to meet customer demands at minimum cost.
Transcribed Image Text:### Problem Description: XYZ Corporation operates two plants, each with a daily capacity of 170 units. Each day, XYZ must ship products to four customers: A, B, C, and D. Customers A, B, and C each require 15 units per day, while Customer D requires 295 units per day. The cost per unit to ship from each plant to each customer is shown in the table below. | | Customer A | Customer B | Customer C | Customer D | |---------------|------------|------------|------------|------------| | **Plant 1** | 16 | 17 | 12 | 24 | | **Plant 2** | 19 | 20 | 20 | 12 | ### Questions: #### a. Distribution Requirement: - **Question:** How many units should XYZ ship from each plant to each customer? - **Instructions:** Leave no cells blank and ensure to enter "0" where required. Round your answer to the nearest whole number. | | Customer A | Customer B | Customer C | Customer D | |---------------|------------|------------|------------|------------| | **Plant 1** | | | | | | **Plant 2** | | | | | #### b. Cost Calculation: - **Question:** What is the least amount XYZ will spend on shipping each day? - **Instructions:** Round your answers to 2 decimal places. | | |---------------| | **Least XYZ** | This graphic contains a table of costs per unit for shipping products from two plants to four customers. The goal is to determine the optimal number of units to ship from each plant to meet customer demands at minimum cost.
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