answer easy 4 questions

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zbr211

Engineering

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please answer the questions and show all the steps so I can understand. and finish it as soon as you can. so I can tip you good amount. see the attached picture for the questions.

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1. The Bakery makes two kinds of Cakes; Type A and Type B. Those make $30 and $50 of profits, respectively. Those cakes require 3 lbs and 5 lbs of flour respectively , and 1 lbs and 2 lbs of sugars respectively. Also they require 2 and 3 hours of labor, respectively. If 100 lbs of flour, 80 lbs of sugar and 60 hours of labors are available, how many Type A and Type B should be made to maximize the profit? Formulate. 2. Solve the following problem using the graphical method. Min. Z = 3 X1 + 2 X2 s.t. 8 X1 + 3 X2 2 160 3 X1 + X2 2 70 X1, X220 3. Solve the following problem using the Simplex method. Max. Z=3 X1 + 5 X2 S.t. 3 X1 + 5 X2 s 150 X1 +2 X2 s 55 X1, X220 4. Convert the following problem to Simplex ready equation (do not need to solve). Min. Z= 2 X1 + 5 X2 s.t. 3 X, + 5 X2 2 200 X1 - 3 X2 < 50 X1, X220
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