Green Grass, Inc. just ran out of stock and suddenly has two emergency orders for grass seed blends: one is for 1500 pounds of normal, the other for 2300 pounds of special.  At least each pound of normal should contain 60 percent annual seed, while each pound of special should contain at least 70 percent perennial seed.  Green Grass has two input mixtures, A and B.  Mixture A contains 80 percent perennial and 15 percent annual seed.  Mixture B contains 70 percent annual and 25 percent perennial seed.  Mixture A costs 90 cents per pound and mixture B costs 50 cents per pound.  Set up the constraints and the objective function to solve this blending problem.

 

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X1 = lbs. of mixture A used to produce the normal blend X2 = lbs. of mixture A used to produce the special blend X3 = lbs. of mixture B used to produce the normal blend X4 = lbs. of mixture B used to produce the special blend Let %3D X1 = lbs. of mixture A used to produce the normal blend X2 = lbs. of mixture A used to produce the special blend X3 = lbs. of mixture B used to produce the normal blend X4 = lbs. of mixture B used to produce the special blend Let %3D