A foreign-car dealer has showrooms in city A and city B and warehouses in city C and city D. The cost of delivering a car is $120 from city C to city A, $90 from city C to city B, $100 from city D to city A, and $70 from city D to city B. Suppose that the showroom in city A orders two cars and the showroom in city B orders twelve cars. Suppose also that the warehouse in city D has eight cars and the warehouse in city C has thirteen cars available. Find the best way to minimize cost, and find the minimum cost. (Hint: Let y be the number of cars delivered from city C to city A and x be the number of cars delivered from city C to city B. Then 2-y is the number of cars delivered from city D to city A and 12 -x is the number of cars delivered from city D to city B.) Find the best way to minimize cost. Choose the correct answer below. O A. Find the optimal number of cars to ship from each warehouse to each showroom. O B. Find the optimal number of cars to ship from city D to city A. O C. Find the total cost for shipping cars from each warehouse to each showroom. The minimum cost is $. (Simplify your answer.)

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 foreign-car dealer has showrooms in city A and city B and warehouses in city C and city D. The cost of delivering a car is $120 from city C to city A, $90 from city C
to city B, $100 from city D to city A, and $70 from city D to city B. Suppose that the showroom in city A orders two cars and the showroom in city B orders twelve cars.
Suppose also that the warehouse in city D has eight cars and the warehouse in city C has thirteen cars available. Find the best way to minimize cost, and find the
minimum cost. (Hint: Let y be the number of cars delivered from city C to city A and x be the number of cars delivered from city C to city B. Then 2-y is the number of
cars delivered from city D to city A and 12 - x is the number of cars delivered from city D to city B.)
Find the best way to minimize cost. Choose the correct answer below.
A. Find the optimal number of cars to ship from each warehouse to each showroom.
O B. Find the optimal number of cars to ship from city D to city A.
O C. Find the total cost for shipping cars from each warehouse to each showroom.
The minimum cost is $.
(Simplify your answer.)
Click to select your answer(s).
0 o
FEB
16
Transcribed Image Text:A foreign-car dealer has showrooms in city A and city B and warehouses in city C and city D. The cost of delivering a car is $120 from city C to city A, $90 from city C to city B, $100 from city D to city A, and $70 from city D to city B. Suppose that the showroom in city A orders two cars and the showroom in city B orders twelve cars. Suppose also that the warehouse in city D has eight cars and the warehouse in city C has thirteen cars available. Find the best way to minimize cost, and find the minimum cost. (Hint: Let y be the number of cars delivered from city C to city A and x be the number of cars delivered from city C to city B. Then 2-y is the number of cars delivered from city D to city A and 12 - x is the number of cars delivered from city D to city B.) Find the best way to minimize cost. Choose the correct answer below. A. Find the optimal number of cars to ship from each warehouse to each showroom. O B. Find the optimal number of cars to ship from city D to city A. O C. Find the total cost for shipping cars from each warehouse to each showroom. The minimum cost is $. (Simplify your answer.) Click to select your answer(s). 0 o FEB 16
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