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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.

Maint for long range planes is 1.67 times
that for short range planes
Maint for med range planes is 1.33 times
that for short range planes

New Planes Cost Profit
long range 67M 4.2M
med. range 50M 3M
short range 35M 2.3M

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

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