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Nyree Dowa, 蟲 8/S6/17 7:00PM Test: Final Exam Time 02:16:17 Submit Test This Question: 13 pts 110124 (O complete) ▼ This Test: 105 pts possible o. Atenker manufacturer has lti supply contracts tots two man customers (650 tons to Customer A an 800 tons to Customer B). ,ean meet this demand by shpeng existing nventory tom any of its three warehouses. Warehouse 1 (W1) has 400 tons of inventory onhand, Warehouse 2 (w2) has 500 tons, and Warehouse 3 (w3) has 600 tons. The company would ike to arrange the possble-where per-lon transit costs are as taows $7.50 $6.75 $5.50 $8.00 Customer B $7.00 Winte the objective function and the constraint in equations Let V, tons shipped to customer i trom warehouse , and so on. For example, VA tons shipped to customer A from warehouse W This exercise contains only parts b. c d e, and f b) The objective function for the LP model Minimize Z$7 $8.25 (shipping cost to customer A) +$700 ▼ +38 00| ▼| (shipping cost to customer B) c) Subject to Customer A’s demand Customer B’s demand Enter your answer in each of the answer boxes End PqUp F3 FS F6
Expert Answer
b) Minimize = 7.5*Va1 + 6.25*Va2 + 6.5*Va3
= 6.75*Vb1 + 7*Vb2 + 8*Vb3
c) Customer A’s demand = 650
Customer B’s demand = 800
Warehouse 1 supply = 400
Warehouse 2 supply = 500
Warehouse 3 supply = 600
d) 4 constraints are binding as final value in constraints table for 4 out of 5 constraints have value equal to RH side value which are C1, C2, C3 & C4
e) For Va3 range of optimality is Objective coefficient – Allowable decrease to Objective coefficient + Allowable increase. Hence, range is 6.5 – 0.25 to 6.5 + 0.75, which is 6.25 to 7.25
