A major coffee supplier has warehouses in Seattle and San Jose. The coffee supplier receives orders from coffee retailers in Salt Lake City and Reno. The retailer in Salt Lake City needs 600 pounds of coffee, and the retailer in Reno needs 550 pounds of coffee. The Seattle warehouse has 1100 pounds available, and the warehouse in San Jose has 700 pounds available. The cost of shipping from Seattle to Salt Lake City is $2.50 per pound, from Seattle to Reno $3 per pound, from San Jose to Salt Lake City $4 per pound, and from San Jose to Reno $2 per pound. Find the number of pounds to be shipped from each warehouse to each retailer to minimize the cost. Ship pounds of coffee from Seattle to Salt Lake City, pounds of coffee from Seattle to Reno, pounds of coffee from San Jose to Salt Lake City, and pounds of coffee from San Jose to Reno.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A major coffee supplier has warehouses in Seattle and San Jose. The coffee supplier receives orders from coffee retailers in Salt Lake City and Reno. The retailer in
Salt Lake City needs 600 pounds of coffee, and the retailer in Reno needs 550 pounds of coffee. The Seattle warehouse has 1100 pounds available, and the
warehouse in San Jose has 700 pounds available. The cost of shipping from Seattle to Salt Lake City is $2.50 per pound, from Seattle to Reno $3 per pound, from San
Jose to Salt Lake City $4 per pound, and from San Jose to Reno $2 per pound. Find the number of pounds to be shipped from each warehouse to each retailer to
minimize the cost.
Ship
pounds of coffee from Seattle to Salt Lake City,
pounds of coffee from Seattle to Reno,
pounds of coffee from San Jose to Salt Lake City, and
pounds of coffee from San Jose to Reno.
Transcribed Image Text:A major coffee supplier has warehouses in Seattle and San Jose. The coffee supplier receives orders from coffee retailers in Salt Lake City and Reno. The retailer in Salt Lake City needs 600 pounds of coffee, and the retailer in Reno needs 550 pounds of coffee. The Seattle warehouse has 1100 pounds available, and the warehouse in San Jose has 700 pounds available. The cost of shipping from Seattle to Salt Lake City is $2.50 per pound, from Seattle to Reno $3 per pound, from San Jose to Salt Lake City $4 per pound, and from San Jose to Reno $2 per pound. Find the number of pounds to be shipped from each warehouse to each retailer to minimize the cost. Ship pounds of coffee from Seattle to Salt Lake City, pounds of coffee from Seattle to Reno, pounds of coffee from San Jose to Salt Lake City, and pounds of coffee from San Jose to Reno.
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