MAT 211 Quiz 2 NAME 1 6 pts In the process to find the reduced row echelon form for the following system of linear equations state and execute the first 4 steps SHOW YOUR WORK FOR CREDIT x y 3z 8 2x y 3z 1 2x 2y 6z 16 solution 1 1 3 8 2 1 3 1 2 2 6 16 1 1 3 8 0 3 9 15 0 0 0 0 1 1 3 8 0 1 3 5 0 0 0 0 2 2 r1 r2 R2 and 2 r1 r3 R3 1 3 r2 R2 1 0 0 3 0 1 3 5 0 0 0 0 r2 r1 R1 2 a 6 pts Let A 4 2 6 1 and solution 4 3a 2 a 2 4 2a A B 2 3 6 a 2 1 B 3 a Find A B 3 A company makes two kinds of animal food A and B which contain two food supplements It takes 2 pounds of the first supplement and 1 pound of the second to make a bag of food A and 4 pounds of the first supplement and 5 pounds of the second to make a bag of food B On a certain day 80 pounds of the first supplement and 70 pounds of the second is available Suppose that the profit on each bag of food A is 3 00 and the profit on each bag of food B is 10 00 The company wants to maximize the profit for that particular day a 4 pts Clearly define your variables and write the objective function P to be maximized in the above problem solution x number of bags of Food type A y number of bags of Food type B P x y 3x 10y b 4 pts Write down all the constraints DO NOT SOLVE solution 2x 4y 80 x 5y 70 x 0 y 0 restriction on available amount of first supplement restriction on available amount of second supplement
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