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# <pre class="ql-syntax">How <span class="hljs-keyword">is</span> the <span

class="hljs-number">10.8</span> / <span class="hljs-number">6.25</span> / <span class="hljs-number">2.55</span> / <span class="hljs-number">4.45</span> figure obtain. I have the formula but it doesn<span class="hljs-string">'t add up when I enter the numbers. Am i using the wrong information </span></pre>

Coast-to-Coast Airlines is investigating the possibility of reducing the cost of fuel purchases by taking
advantage of lower fuels costs in certain cities. Since fuel purchases represent a substantial portion of
operating expenses for an airline, it is important that those costs be carefully monitored. However, fuel
adds weight to an airplane and consequently, excess fuels raises the cost of getting from one city to
another. In evaluating one particular flight rotation, a plane begins in Atlanta, flies from Atlanta to Los
Angeles, from Los Angeles to Houston, from Houston to New Orleans, and from New Orleans to Atlanta.
When the plane arrives in Atlanta, the flight rotation is said to have been completed and then it starts
again. Thus, the fuel on board when the flight arrived in Atlanta must be taken into consideration when
the flights begins. Along each leg of this route there is a minim and maximum amount of fuel that may
be carried this and additional information is provide in the table below. The regular fuel consumption is
based on the plane carrying the minimum amount of fuel. If more than this is carried, the amount of fuel
consumed is higher. Specifically, for each 1,000 gallons of fuel above the minimum, 5% (or 50 gallons per
1,000 gallons of extra fuel) is lost due to excess fuel consumption. Formulate this as an LP problem to
minimize the cost. How many gallons should be purchased in each city? What is the total cost of this?

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