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A City Wants to Locate 2 New Fire Fighting Ladder

Question 44

Essay

A city wants to locate 2 new fire fighting ladder trucks to maximize the number of tall buildings which they can cover within a 3 minute response time.The city is divided into 4 zones.The fire chief wants to locate no more than one of the trucks in either Zone 1 or Zone 2.The number of tall buildings in each zone and the travel time between zones is listed below.
Formulate the ILP for this problem.
 To zone  No. tall buildings  Fram zone 12345010216902204560314017046510\begin{array}{c}\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \text { To zone }\\\begin{array} { c c c c c c } \text { No. tall buildings } & \text { Fram zone } & 1 & 2 & 3 & 4 \\\hline 50 & 1 & 0 & 2 & 1 & 6 \\90 & 2 & 2 & 0 & 4 & 5 \\60 & 3 & 1 & 4 & 0 & 1 \\70 & 4 & 6 & 5 & 1 & 0\end{array}\end{array}

Correct Answer:

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MAX: 200 X1 + 1140 X2 +...

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