Decision variables, objective functions, and constraints

Part B: What is the value of Z if Y=W=Z=200 and P1=P2=P3=P4=P5=P6=100 (20 POINTS) Problem 3. (40 POINTS) FORMULATE THE MATHEMATHICAL LINEAR PROGRAMMING Decision Variables S: Supply (1,2), the supply of S1 is Y, and the supply of S2 is W, S3 is Z. T: Transshipment (1,2,3,4) R: Retail (1,2,3,4) the demand for R1 is P1, R2 is P2, R3 is P3, R4 is P4, R5 is P5, R6 is P6. TABLE: COST OF SENDING ITEMS FROM S TOT T1 T2 T3 T4 Si 1 1 1 1 S2 1 1 S3 1 1 TABLE: COST OF SENDING ITEMS FROM T TOR R1 R2 R3 R4 R5 R6 T1 1 1 1 T2 1 1 1 1 T3 1 1 1 14 1 1 1 1 1 1 R1 T1 R2 S1 T2 R3 S2 T3 R4 S3 T4 R5 R6