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Spencer manages a store that sells speakers. Each Master Blaster takes 36 hours to create the plastic pieces, 17 hours to create the electronics, and 33 hours of labor to assemble the final product. Each Jammer requires 12 hours to create the plastic pieces, 34 hours to create the electronics, and 39 hours of labor to assemble the final product. The factory has 3060 hours to create the plastic pieces, 2924 hours to create the electronics, and 3813 hours of labor to assemble the final product each week. If each Master Blaster generates $3 in revenue, and each Jammer generates $11, how many of each of the speakers should Spencer have the store sell each week to make the most revenue? Master Blaster: Jammer: Best revenue:

Spencer manages a store that sells speakers. Each Master Blaster takes 36 hours to create the plastic pieces, 17 hours to create the electronics, and 33 hours of labor to assemble the final product. Each Jammer requires 12 hours to create the plastic pieces, 34 hours to create the electronics, and 39 hours of labor to assemble the final product. The factory has 3060 hours to create the plastic pieces, 2924 hours to create the electronics, and 3813 hours of labor to assemble the final product each week. If each Master Blaster generates $3 in revenue, and each Jammer generates $11, how many of each of the speakers should Spencer have the store sell each week to make the most revenue? Master Blaster: Jammer: Best revenue:

Advanced Engineering Mathematics
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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**Optimizing Production for Maximum Revenue** Spencer manages a store that sells speakers. Each Master Blaster speaker model requires the following amounts of labor: - 36 hours to create the plastic pieces, - 17 hours to create the electronics, and - 33 hours to assemble the final product. Each Jammer speaker model requires the following amounts of labor: - 12 hours to create the plastic pieces, - 34 hours to create the electronics, and - 39 hours to assemble the final product. The factory has a total of: - 3060 hours available for creating plastic pieces, - 2924 hours available for creating electronics, and - 3813 hours available for assembly each week. The revenue generated per unit sold is: - $3 for each Master Blaster, - $11 for each Jammer. The challenge is to determine how many of each speaker model Spencer should produce and sell each week to maximize revenue. Please enter the number of each speaker model to produce: - **Master Blaster:** - **Jammer:** - **Best revenue:** This problem can be approached using linear programming or other optimization techniques to determine the optimal mix of Master Blasters and Jammers that maximize revenue given the labor constraints.
Transcribed Image Text:**Optimizing Production for Maximum Revenue** Spencer manages a store that sells speakers. Each Master Blaster speaker model requires the following amounts of labor: - 36 hours to create the plastic pieces, - 17 hours to create the electronics, and - 33 hours to assemble the final product. Each Jammer speaker model requires the following amounts of labor: - 12 hours to create the plastic pieces, - 34 hours to create the electronics, and - 39 hours to assemble the final product. The factory has a total of: - 3060 hours available for creating plastic pieces, - 2924 hours available for creating electronics, and - 3813 hours available for assembly each week. The revenue generated per unit sold is: - $3 for each Master Blaster, - $11 for each Jammer. The challenge is to determine how many of each speaker model Spencer should produce and sell each week to maximize revenue. Please enter the number of each speaker model to produce: - **Master Blaster:** - **Jammer:** - **Best revenue:** This problem can be approached using linear programming or other optimization techniques to determine the optimal mix of Master Blasters and Jammers that maximize revenue given the labor constraints.
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