Given the following linear programming problem: "A toy manufacturing company makes two kinds of toy-trucks - a standard model and a deluxe model. In the manufacturing process each standard model requires 2 hours of grinding and 2 hours of finishing, and each deluxe model needs 2 hours of grinding and 4 hours of finishing. The company had two grinders and three finishers, each of whom works at most 40 hours per week. Each standard model toy truck brings a profit of 3 euros and each deluxe model a profit of 4 euros. Assuming that every truck made will be sold, how many of each should be made to maximize profit?" Let x represent the number of standard models made and let y represent the number of deluxe models made. Write the equation that best describes the objective function.
Given the following linear programming problem: "A toy manufacturing company makes two kinds of toy-trucks - a standard model and a deluxe model. In the manufacturing process each standard model requires 2 hours of grinding and 2 hours of finishing, and each deluxe model needs 2 hours of grinding and 4 hours of finishing. The company had two grinders and three finishers, each of whom works at most 40 hours per week. Each standard model toy truck brings a profit of 3 euros and each deluxe model a profit of 4 euros. Assuming that every truck made will be sold, how many of each should be made to maximize profit?" Let x represent the number of standard models made and let y represent the number of deluxe models made. 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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Transcribed Image Text:Given the following linear programming problem:
"A toy manufacturing company makes two kinds of toy-trucks - a standard model and a deluxe model. In the manufacturing process
each standard model requires 2 hours of grinding and 2 hours of finishing, and each deluxe model needs 2 hours of grinding and 4
hours of finishing. The company had two grinders and three finishers, each of whom works at most 40 hours per week. Each
standard model toy truck brings a profit of 3 euros and each deluxe model a profit of 4 euros. Assuming that every truck made will
be sold, how many of each should be made to maximize profit?"
Let x represent the number of standard models made and let y represent the number of deluxe models made.
Write the equation that best describes the objective function.
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