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 has6 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 toTrenton $70 per car. Find the number of cars to be shipped from each warehouse to each dealer to minimize the shipping cost.CLet (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).

PhiladelphiaTrentonSupplyNew YorkBaltimoreDemand

Answered: A foreign-car dealer with warehouses in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 70 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 10 students, requires 1 chaperone, and costs $90 to rent. Since there are 700 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 700 students. Since only 60 parents have volunteered to serve as chaperones, the officers must plan to use at most 60 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and vans to minimize the transportation costs.
a theatre has 800 seats, divided into orchestra, main and balcony. Orchestra seats sell for $40, main fo $30 and balcony for $2. If all the seats are sold revenue to the hteatre s $23,200. If all the main and balcony seats are sold but only half the orchestra seats are sold, the gross revenue os $20,000. How many are there of each kind of seat?
An online retailer requires three different size containers to package its products for shipment. The costs of these containers A, B, and C, and their capacities are shown as follows: Container A B C Cost ($ each) 4 6 7 Capacity (cu in) 200 400 600 If the retailer orders 2500 containers with a total capacity of 1,100,000 cu in at a cost of $15,000, how many of each are in the order?
A famine relief effort is being mounted and there are three types of food bundles that can be flown out during each delivery. Bundle 1 has 4 kg. of flour, 4 kg. of sugar and 12 litres of water. Bundle 2 has 12 kg. of flour, 4 kg. of sugar and 4 litres of water and Bundle 3 has 8 kg. of flour, 8 kg. of sugar and 8 litres of water. The relief agency has 5200 kg. of flour, 3792 kg. of sugar and 6000 litres of water for each shipment. Bundle 1 can provide for 10 people between deliveries, Bundle 2 for 8 people and Bundle 3 for 11 people. How many bundles of each type should the relief agency send on each flight in order to maximize the number of people being fed. Do this problem by setting up a linear programming problem and determining the vertices of the feasibility set. Enter the number of bundles of types 1, 2, and 3 (in that order) into the answer box below, separated with commas.

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