The King Corn Company processes food for sale in discount food stores. It has two plants: one in Chicago and one in Houston. The company also operates warehouses in Miami, Denver, Lincoln, and Jackson. Forecasts indicate that demand soon will exceed supply and that a new plant with a capacity of 6,000 cases is needed. The question is where to locate the new plant. Two potential sites are Auburn and Springfield. The two tables below give data on capacities, forecasted demand, and shipping costs that have been gathered. a. Foreachalternativenewplantlocation, determine the total cost of the shipping pattern that will minimize total transportation costs. Where should the new plant be located based on transportation costs?
The King Corn Company processes food for sale in discount food stores. It has two plants: one in Chicago and one in Houston. The company also operates warehouses in Miami, Denver, Lincoln, and Jackson.
a. Foreachalternativenewplantlocation, determine the total cost of the shipping pattern that will minimize total transportation costs. Where should the new plant be located based on transportation costs?
![Lincoln Jackson Capacity
$1
Miami
Denver
Chicago
Houston
Auburn
$6
$2
$8
$5
$3
12 000
$7
$3
$2
$5
7 000
$5
$2
10 000
6 000
Demand
8 000
9 000
4 000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F415822de-4f34-4287-b76b-f923eefae3d4%2F787d3eda-8055-4c0c-a4fc-79fcc355f43e%2Fylhw3gj_processed.png&w=3840&q=75)
![Miami
Denver
Lincoln Jackson Capacity
Chicago
Houston
Springfield
$5
$6
$1
$3
12 000
$7
$5
$2
$4
9 000
$2
$4
7 000
$5
$1
10 000
6 000
Demand
8 000
4 000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F415822de-4f34-4287-b76b-f923eefae3d4%2F787d3eda-8055-4c0c-a4fc-79fcc355f43e%2F325xx_processed.png&w=3840&q=75)
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