Problem 1. Write the mathematical formulation to solve this problem and solve the problem. The goal is to satisfy customer demand at minimal cost. Consider that the system produces two products in two plants, with two possible warehouse locations, and the three customers demand the two products. It must be decided whether one or two warehouses are needed.

Problema 1. Escribe la formulacin matemtica para resolver este problema y resuelve el problema. El objetivo es satisfacer la demanda de los clientes a un costo minimo. Considere que el sistema produce dos productos en dos plantas, con dos posibles ubicaciones de almacenes y los tres clientes demandan los dos productos. Se debe decidir si se necesitan uno o dos almacenes. Product 1 Handling = $2lcnt. $4/Cwt Slot $2/cwt Customer C, 50,000 cwt. Sicwt Warehouse W, Plant P. Production = $4/cwt. Capacity= 60,000 cwt. $5/cwt $1.wt. Handing = $11cwt. $4/cwt Customer C 100,000 cut. $2Jcwt $5/cwt $2 cwt Warehouse W Plant P, Production = $4/cwt. Fixed = $100,000 Capacity - Capacity = 110,000 cut Unrestricted Foxed - $500,000 Capacity = Unrestricted Product 2 Handling - $2/ont. Solcwt Customer C, 50,000 cwt. $3iqht Customer C. 20,000 cwt. $5/cwt Warehouse W, Plant P. Production - $3/cwt. Capacity 50,000 cwt. $2/cut $2cwt. Handling = $1/cwt S4/cwt Customer C, 30,000 cwt. $cwt $2lant Warehouse W Plant P Production = $2/cwt. Capacity Unrestricted Customer C, 60,000 cwt