A fertilizer manufacturer has to fulfill supply contracts to its two main customers (650 tons to Customer A and 800 tons to Customer B). It can meet this demand by shipping existing inventory from any of its three warehouses. Warehouse 1has 400 tons of inventory onhand, Warehouse 2 (W2) has 500 tons, and Warehouse 3 (W3) has 600 tons. The company would like to arrange the shipping for the lowest cost possible, where the per-ton transit costs are as follows:W 1W 2W 3$7.50$6.75$6.25$7.00$6.50$8.00Customer ACustomer BWrite the objective function and the constraint in equations. Let V;= tons shipped to customer i from warehouse j, and so on. For example, VA1 = tons shipped to customer A from warehouse W1.This exercise contains only parts b, c, d, e, and f.b) The objective function for the LP model =Minimize Z =$7.50+ $6.25+ $6.50(shipping cost to customer A)V +$6.75+ $7.00+ $8.00(shipping cost to customer B)c) Subject to:Customer A's demandCustomer B's demandWarehouse 1's supplyWarehouse 2's supplyWarehouse 3's supplyFor all Vj 20non negativity condition

VA1 = tons shipped to customer A from warehouse 1VA2 = tons shipped to customer A from warehouse…

Answered: A fertilizer manufacturer has to…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 68P

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