An airline company wants to install an air connection between two cities. Their goal is to transport 16000 people and 96 tons of cargo in a specific interval of time. At the moment, two types of airplanes are available: 11 airplanes of type A and 8 airplanes of type B. Type A costs 4000 € and can carry 200 people, and 6 tons cargo per flight. Type B costs 1000 € and can carry 100 people, and 15 tons cargo per flight.We are supposed to determine the system of linear inequalities (and then continue calculating the best possible solution). But I would like to know only if the inequalities I found are correct, and maybe some other important things that need to be taken from the question?So we have as constraints: I : 200 x + 100 y ≥ 1600 I I : 6 x + 15 y ≥ 96

Question

An airline company wants to install an air connection between two cities. Their goal is to transport   16000 people and   96 tons of cargo in a specific interval of time. At the moment, two types of airplanes are available:   11 airplanes of type A and   8 airplanes of type B. Type A costs   4000 € and can carry   200 people, and   6 tons cargo per flight. Type B costs   1000 € and can carry   100 people, and   15 tons cargo per flight.We are supposed to determine the system of linear inequalities (and then continue calculating the best possible solution). But I would like to know only if the inequalities I found are correct, and maybe some other important things that need to be taken from the question?So we have as constraints:  I  :  200  x  +  100  y  ≥  1600  I  I  :  6  x  +  15  y  ≥  96

usmrdeleuvqw7 · Accepted Answer

You might want to add the constraints  0  ≤  x  ≤  11       and     0  ≤  y  ≤  8because you cannot use more planes than available.The objective function is the total cost, but you asked only about constraints.

An airline company wants to install an air connection between two cities. Their goal is to transport

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