Question
The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in
The Martin-Beck Company operates a plant in St. Louis with an annual capacity of 30,000 units. Product is shipped to regional distribution centers located in Boston, Atlanta, and Houston. Because of an anticipated increase in demand, Martin-Beck plans to increase capacity by constructing a new plant in one or more of the following cities: Detroit, Toledo, Denver, or Kansas City. The estimated annual fixed cost and the annual capacity for the four proposed plants are as follows:
Proposed Plant Annual Fixed Cost Annual Capacity
Detroit $175,000 10,000
Toledo $300,000 20,000
Denver $375,000 30,000
Kansas City $500,000 40,000
The company's long-range planning group developed forecasts of the anticipated annual demand at the distribution centers as follows:
Distribution Center Annual Demand
Boston 30,000
Atlanta 20,000
Houston 20,000
The shipping cost per unit from each plant to each distribution center is as follows:
Distribution Centers
Plant Site Boston Atlanta Houston
Detroit 5 2 3
Toledo 4 3 4
Denver 9 7 5
Kansas City 10 4 2
St. Louis 8 4 3
Management wants to run a model that allows for any plant or set of plants to be open so that total cost is minimized. The variable costs for the proposed plant locations are estimated to be the following: Detroit ($4.26), Toledo ($4.19), Denver ($4.69), and Kansas City ($4.20). The fixed and variable costs for St. Louis are estimated to be $334,875 and $4.29, respectively.
The optimal solution is to keep St. Louis and add Kansas City with a total annual cost of $1,491,575.
The second-best solution is to open Detroit, Toledo, and Kansas with a total annual cost of $_______________.
What is the total annual cost of the second-best solution?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started