A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 11. The New York warehouse has 6 cars and the Baltimore warehouse has 12. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Find the number of cars to be shipped from each warehouse to each dealer to minimize the shipping cost. Let (x, y) correspond to x cars shipped from Baltimore to Trenton, y cars shipped from Baltimore to Philadelphia. Find (x, y). Choose the correct answer below. OA. The minimum cost is achieved at (5,3). OB. The minimum cost is achieved at (8,0). OC. The minimum cost is achieved at (5,3), (8,0), or anywhere on the line segment connecting these two points. OD. The minimum cost is achieved at (5,3) and (8,0).
A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 11. The New York warehouse has 6 cars and the Baltimore warehouse has 12. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Find the number of cars to be shipped from each warehouse to each dealer to minimize the shipping cost. Let (x, y) correspond to x cars shipped from Baltimore to Trenton, y cars shipped from Baltimore to Philadelphia. Find (x, y). Choose the correct answer below. OA. The minimum cost is achieved at (5,3). OB. The minimum cost is achieved at (8,0). OC. The minimum cost is achieved at (5,3), (8,0), or anywhere on the line segment connecting these two points. OD. The minimum cost is achieved at (5,3) and (8,0).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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Transcribed Image Text:A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 11. The New York warehouse has
6 cars and the Baltimore warehouse has 12. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to
Trenton $70 per car. Find the number of cars to be shipped from each warehouse to each dealer to minimize the shipping cost.
C
Let (x, y) correspond to x cars shipped from Baltimore to Trenton, y cars shipped from Baltimore to Philadelphia. Find (x, y). Choose the correct answer below.
OA. The minimum cost is achieved at (5,3).
OB. The minimum cost is achieved at (8,0).
O C. The minimum cost is achieved at (5,3), (8,0), or anywhere on the line segment connecting these two points.
O D. The minimum cost is achieved at (5,3) and (8,0).
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