Application Problem Description

Flat Bottom Boats, Inc. is a small boat manufacturer. Their premier product is a $12\text{'}$ aluminum jon boat known as the Creek Runner. These boats are strategically located at distribution centers in the cities shown in the table below. The table also shows the supply of boats in each location.

$\backslash$table$[[$Distribution Center,Supply$],[$Allen$,$ TX$,100],[$Avondale$,$ AZ$,85],[$Colorado Springs, CO$,125],[$Springdale$,$ AR$,75]]$

The company uses these distribution centers to fulfill the demands of four retail stores. The table below lists the stores and their demands for the Creek Runner boat.

$\backslash$table$[[$Retail Store,Demand$],[$Wichita$,$ KS$,100],[$Lincoln$,$ NE$,80],[$Albuquerque$,$ NM$,60],[$Oklahoma City, OK$,100]]$

Unit shipping costs $($dollars per unit$)$ to move the product from each distribution center to each store are shown in the table below.

$\backslash$table$[[,,,,$Retail Store$],[$Distribution Center,Wichita, KS$,$Lincoln, NE$,$Albuquerque, NM$,$Oklahoma City, OK$],[$Allen$,$ TX$,100,125,80,75],[$Avondale$,$ AZ$,150,200,60,90],[\backslash$table$[[$Colorado Springs,$],[$CO$]],50,100,85,75],[$Springdale$,$ AR$,120,140,130,85]]$

A final condition is that the freight agency which routes trucks from Colorado Springs, CO to Wichita, KS can only transfer a maximum of $50$ boats.

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Question $17$

$8$ pts

Use the table below to enter the number of boats which should be shipped from each distribution center to each retail store in order to minimize cost.

Only numeric characters should be used for entry. If a decimal value is present in the optimal solution, then round down to the nearest integer.

$\backslash$table$[[,,$Retail Store,$],[$Distribution Center,Wichita, KS$,$Lincoln, NE$,$Albuquerque, NM$,$Oklahoma City, OK$],[$Allen$,$ TX$,,,,],[$Avondale$,$ AZ$,,,,],[$Colorado Springs,,,,,$],[$CO$,,,,],[$Springdale$,$ AR$,,,,]]$

Question $18$

$2pts$

Enter below the shipping cost which would be incurred by implementing the optimal solution.