17. Transportation-Shipping A foreign-car wholesaler with ware- houses in New York and Baltimore receives orders from deal- ers in Philadelphia and Trenton. The dealer in Philadelphia needs 4 cars, and the dealer in Trenton needs 7. The New York warehouse has 6 cars, and the Baltimore warehouse has 8. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton is $90 per car, from New York to Philadelphia is $100 per car, and from New York to Trenton is $70 per car. Find the number of cars to be shipped from each warehouse to each dealer to minimize the shipping cost. (Hint: Let x = number of cars to be shipped from Baltimore to Philadelphia, y = number of cars to be shipped from Baltimore to Trenton, 4 - x = number of cars to be shipped from New York to Philadelphia, and 7 - y = number of cars to be shipped from New York to Trenton.)

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**17. Transportation—Shipping**

A foreign-car wholesaler with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer in Philadelphia needs 4 cars, and the dealer in Trenton needs 7. The New York warehouse has 6 cars, and the Baltimore warehouse has 8.

The cost of shipping cars is as follows:
- From Baltimore to Philadelphia: $120 per car
- From Baltimore to Trenton: $90 per car
- From New York to Philadelphia: $100 per car
- From New York to Trenton: $70 per car

Determine the number of cars to be shipped from each warehouse to each dealer to minimize the shipping cost.

**Hint:**
- Let \( x \) = number of cars to be shipped from Baltimore to Philadelphia
- Let \( y \) = number of cars to be shipped from Baltimore to Trenton
- \( 4 - x \) = number of cars to be shipped from New York to Philadelphia
- \( 7 - y \) = number of cars to be shipped from New York to Trenton
Transcribed Image Text:**17. Transportation—Shipping** A foreign-car wholesaler with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer in Philadelphia needs 4 cars, and the dealer in Trenton needs 7. The New York warehouse has 6 cars, and the Baltimore warehouse has 8. The cost of shipping cars is as follows: - From Baltimore to Philadelphia: $120 per car - From Baltimore to Trenton: $90 per car - From New York to Philadelphia: $100 per car - From New York to Trenton: $70 per car Determine the number of cars to be shipped from each warehouse to each dealer to minimize the shipping cost. **Hint:** - Let \( x \) = number of cars to be shipped from Baltimore to Philadelphia - Let \( y \) = number of cars to be shipped from Baltimore to Trenton - \( 4 - x \) = number of cars to be shipped from New York to Philadelphia - \( 7 - y \) = number of cars to be shipped from New York to Trenton
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