Given the following linear programming problem: "A factory produces gasoline engines and diesel engines. Each week the factory is obliged to deliver at least 20 gasoline engines and at least 15 diesel engines. Due to physical limitations, however, the factory cannot make more than 60 gasoline engines nor more than 40 diesel engines in any given week. Finally, to prevent layoffs, a total of at least 50 engines must be produced. If each gasoline engine costs 450 euros to produce and each diesel engine costs 550 euros to produce, how many of each should be produced to minimize the cost?" Let x represent the number of gasoline engines produced and let y represent the number of diesel engines produced. Write the equation that best describes the objective function.
Given the following linear programming problem: "A factory produces gasoline engines and diesel engines. Each week the factory is obliged to deliver at least 20 gasoline engines and at least 15 diesel engines. Due to physical limitations, however, the factory cannot make more than 60 gasoline engines nor more than 40 diesel engines in any given week. Finally, to prevent layoffs, a total of at least 50 engines must be produced. If each gasoline engine costs 450 euros to produce and each diesel engine costs 550 euros to produce, how many of each should be produced to minimize the cost?" Let x represent the number of gasoline engines produced and let y represent the number of diesel engines produced. Write the equation that best describes the objective function.
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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Let x represent the number of gasoline engines produced and let y represent the number of diesel engines produced.
Write the equation that best describes the objective function
Show your work
Transcribed Image Text:Given the following linear programming problem:
"A factory produces gasoline engines and diesel engines. Each week the factory is obliged to deliver at least 20 gasoline engines and
at least 15 diesel engines. Due to physical limitations, however, the factory cannot make more than 60 gasoline engines nor more
than 40 diesel engines in any given week. Finally, to prevent layoffs, a total of at least 50 engines must be produced. If each gasoline
engine costs 450 euros to produce and each diesel engine costs 550 euros to produce, how many of each should be produced to
minimize the cost?"
Let x represent the number of gasoline engines produced and let y represent the number of diesel engines produced.
Write the equation that best describes the objective function.
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