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Linear programming problem in Introduction to Operating research

An airline is starting to fly to two new destinations, Bali and Moscow. The company needs your help to set up an linear programming program (LP) to help them decide how often they should fly to the new destinations. The profit for one flight to Moscow is 660 dollars and for one flight to Bali it is 990 dollars. 5 flight attendants is needed on each flight to Moscow but 8 flight attendants is needed on each Bali flight. The airline has 90 flight attendants to use one both of these flights. Then it is need to have one captain on Moscow flight but 2 captains on Bali flights and the company has total 50 captains to staff both of the flights. One pilot is needed on Moscow flight but two pilots on Bali flight and the company has 65 pilots to staff both of the flights.

To flight to Moscow it is needed 3000 L of gas and 5000 L to fly to Bali. The company has permission to buy up to 80.000 L of gas each month. The company needs to fly at least three times a month to Bali because of a contract with a travel company in Bali.

Set up a linear program for the airline. Note that you do not need to solve the linear program.

Linear program includes

*decision variables

*objective functions

*constrains

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