Consider the following linear program and answer the following questions. Max3A+4Bs.t.1A+2B71A+2B102A+1B15A,B0 (a) Write the problem in standard form. Max 3A+4B+()S1+()S2+()S3 s.t. 1A+2B+1A+2B2A+1B2A=7+=15=10 A,B,S1,S2,S30 (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=s2=s3=