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 400 pounds of coffee, and the retailer in Reno needs 200 pounds of coffee. The Seattle warehouse has 550 pounds available, and the warehouse in San Jose has 500 pounds available. The cost of shipping from Seattle to Salt Lake City is $2.50 per pound, from Seattle to Reno $4 per pound, from San Jose to Salt Lake City $6 per pound, and from San Jose to Reno $3 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.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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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 400 pounds of coffee, and the retailer in
Reno needs 200 pounds of coffee. The Seattle warehouse has 550 pounds available, and the warehouse in San Jose has 500 pounds available. The cost of shipping from Seattle to Salt Lake City is $2.50 per pound, from Seattle to
Reno $4 per pound, from San Jose to Salt Lake City $6 per pound, and from San Jose to Reno $3 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 400 pounds of coffee, and the retailer in Reno needs 200 pounds of coffee. The Seattle warehouse has 550 pounds available, and the warehouse in San Jose has 500 pounds available. The cost of shipping from Seattle to Salt Lake City is $2.50 per pound, from Seattle to Reno $4 per pound, from San Jose to Salt Lake City $6 per pound, and from San Jose to Reno $3 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.
A shipping company is buying new trucks. The high-capacity trucks cost $50,000 and hold 340 cases of merchandise. The low-capacity trucks cost $30,000 and hold 200 cases of merchandise. The company has budgeted
$1,140,000 for the new trucks and has a maximum of 30 people qualified to drive the trucks. Due to availability limitations, the company can purchase at most 15 high-capacity trucks. How many of each type of truck should the
company purchase to maximize the number of cases shipped at one time?
To maximize the number of cases of merchandise that can be shipped simultaneously, the company should purchase high-capacity trucks and low-capacity trucks.
Transcribed Image Text:A shipping company is buying new trucks. The high-capacity trucks cost $50,000 and hold 340 cases of merchandise. The low-capacity trucks cost $30,000 and hold 200 cases of merchandise. The company has budgeted $1,140,000 for the new trucks and has a maximum of 30 people qualified to drive the trucks. Due to availability limitations, the company can purchase at most 15 high-capacity trucks. How many of each type of truck should the company purchase to maximize the number of cases shipped at one time? To maximize the number of cases of merchandise that can be shipped simultaneously, the company should purchase high-capacity trucks and low-capacity trucks.
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