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Linear Programming

Southern Air is considering purchase of new aircraft and has set aside $1.5B dollars for this.

They have enough pilots to crew 30 new planes and enough maintence personnel to crew 40 new short range planes.

New Planes Cost Profit Maint for long range planes is 1.67 times
long range 67M 4.2M that for short range planes
med. range 50M 3M Maint for med range planes is 1.33 times
short range 35M 2.3M that for short range planes

How many planes of what types would you recommend Southern to buy?

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