# An air conditioning manufacturer produces room air conditioners at plants in Houston, Phoenix, and Memphis. These are sent to regional distributors in Dallas, Atlanta, and Denver. The shipping costs vary, and the company would like to find the least-cost way

An air conditioning manufacturer produces room air conditioners at plants in Houston, Phoenix, and Memphis. These are sent to regional distributors in Dallas, Atlanta, and Denver. The shipping costs vary, and the company would like to find the least-cost way to meet the demands at each of the distribution centers. Dallas needs to receive 800 air conditioners per month, Atlanta needs 600, and Denver needs 200.

Houston has 850 air conditioners available each month, Phoenix has 650, and Memphis has 300. The shipping cost per unit from Houston to Dallas is $8, to Atlanta is $12, and to Denver is $10. The cost per unit from Phoenix to Dallas is $10, to Atlanta is $14, and to Denver is $9. The cost per unit from Memphis to Dallas is $11, to Atlanta is $8, and to Denver is $12. How many units should be shipped from each plant to each regional distribution center? What is the total cost for this? 9-20

The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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## Data COSTS Dallas Atlanta Denver Dummy Supply Origin 1 8 12 10 0 85…View the full answer

## Solution: To find the least-cost way to meet the demands at each distribution center, we can use the transportation problem model. The transportation problem is a special type of linear programming problem where the objective is to minimize the total cost of transporting goods from sources to destinations, subject to supply and demand constraints. Step 1: Formulate the problem We need to determine the number of units to be shipped from each plant to each regional View the full answer

**Related Book For**

## Quantitative Analysis for Management

**ISBN:** 978-0132149112

11th Edition

**Authors:** Barry render, Ralph m. stair, Michael e. Hanna

**Question Details**

**9**

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