An automobile manufacturer has contracted to export 400 model A cars and 500 model B cars abroad. The model A car occupies a volume of 12 cubic meters and the model B car occupies a volume of 16 cubic meters. There are three boats available to transport the cars. These arrive at the port of destination at the beginning of January, mid-February and the end of March, respectively. The first ship only carries Model A cars at $450 per car. The second and third ships carry both types at a cost of $35 and $40 per cubic meter. respectively. The first ship can only accommodate 200 cars, and the second and third ships have available volumes of 4,500 and 6,000 cubic meters, respectively. If the manufacturer has contracted to deliver at least 250 and 200 cars of the A and B models in mid-February and the rest by the end of March. Formulate the P P L. that minimizes the total cost.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
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2. An automobile manufacturer has contracted to export 400 model A cars and 500 model B cars abroad. The model A car occupies a volume of 12 cubic meters and the model B car occupies a volume of 16 cubic meters. There are three boats available to transport the cars. These arrive at the port of destination at the beginning of January, mid-February and the end of March, respectively. The first ship only carries Model A cars at $450 per car.
The second and third ships carry both types at a cost of $35 and $40 per cubic meter. respectively. The first ship can only accommodate 200 cars, and the second and third ships have available volumes of 4,500 and 6,000 cubic meters, respectively. If the manufacturer has contracted to deliver at least 250 and 200 cars of the A and B models in mid-February and the rest by the end of March. Formulate the P P L. that minimizes the total cost.

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