Consider the following linear program and answer the following questions. Max 3A + 4B s.t. -1A + 2B9 1A2B 11 2A + 1B 12 A, B 0 (a) Write the problem in standard form. Max 3A 4B + s.t. -1A2B + 1A + 2B 2A + 1B A, B, S1, S2, S3 0 ]) s + ( [ )52 + + (b) Solve the problem using the graphical solution procedure. (A, B) = (c) What are the values of the three slack variables at the optimal solution? S1 S S3 = = = = 9 = 11 + = 12