€ A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant II needs at least 32 engines. The company can send at most 120 engines to these assembly plants. It costs $30 per engine to ship to plant I and $40 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant Il gives similar $15 rebates. The manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many engines should be shipped to each plant to minimize shipping costs? What is the minimum cost? How many engines should be shipped to each plant to minimize shipping costs, subject to the given constraints? The number of engines to send to plant I The number of engines to send to plant II is What is the minimum shipping cost, subject to the given constraints?

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ISBN:9780470458365
Author:Erwin Kreyszig
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A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and
plant II needs at least 32 engines. The company can send at most 120 engines to these assembly plants. It costs $30
per engine to ship to plant I and $40 per engine to ship to plant II. Plant I gives the manufacturing company $20 in
rebates toward its products for each engine they buy, while plant Il gives similar $15 rebates. The manufacturer
estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many
engines should be shipped to each plant to minimize shipping costs? What is the minimum cost?
How many engines should be shipped to each plant to minimize shipping costs, subject to the given constraints?
The number of engines to send to plant I is
The number of engines to send to plant II is
What is the minimum shipping cost, subject to the given constraints?
$
Next
pts
Transcribed Image Text:A manufacturing company receives orders for engines from two assembly plants. Plant I needs at least 45 engines, and plant II needs at least 32 engines. The company can send at most 120 engines to these assembly plants. It costs $30 per engine to ship to plant I and $40 per engine to ship to plant II. Plant I gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant Il gives similar $15 rebates. The manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. How many engines should be shipped to each plant to minimize shipping costs? What is the minimum cost? How many engines should be shipped to each plant to minimize shipping costs, subject to the given constraints? The number of engines to send to plant I is The number of engines to send to plant II is What is the minimum shipping cost, subject to the given constraints? $ Next pts
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