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A manufacturer produces goods at five US cities, from which the goods are sent to seven major customers in the following cities: Frankfort, Greenville, Jackson,

A manufacturer produces goods at five US cities, from which the goods are sent to seven major customers in the following cities: Frankfort, Greenville, Jackson, Kankakee, Louisville, Miami, and Oakdale. The monthly production of the goods is shown in the table below:

Manufacturing Cities Monthly Production (tons)
Atlanta 500
Boston 800
Chicago 600
Dallas 400
Evansville 400

The monthly demands for each customer (in tons) are shown below.

Frankfort Greenville Jackson Kankakee Louisville Miami Oakdale
Demand 200 300 400 200 400 500 200

The shipping costs per ton of product from the manufacturers to the customers are shown in the table below.

Shipping costs per ton ($):
From/to Frankfort Greenville Jackson Kankakee Louisville Miami Oakdale
Atlanta 90 100 130 200 120 120 150
Boston 70 80 90 90 160 200 180
Chicago 220 120 140 100 100 70 90
Dallas 180 150 110 50 140 80 110
Evansville 50 110 100 60 80 150 120

Solve a Transportation Problem in Excel to find the lowest cost delivery plan to meet the customers' requirements.

(i) Report the minimum cost from your solution.

(ii) Insert (paste) below the Excel spreadsheet that you used showing the optimal solution. (include all rows and columns of the spreadsheet)

Minimum cost =

(iii) - - Paste Your Excel Spreadsheet Here - -

 How much does Chicago send to each destination?

 

From where does Frankfort receive shipments?

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