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A manufacturer produces two models of toy airplanes. It takes the manufacturer 25 minutes to assemble model A and 15 minutes to package it. It takes the manufacturer 15 minutes to assemble model B and 5 minutes to package it. In a given week, the total available time for assembling is 2400 minutes, and the total available time for packaging is 1200 minutes. Model A earns a profit of $16 for each unit sold and model B earns a profit of $5 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week?

A manufacturer produces two models of toy airplanes. It takes the manufacturer 25 minutes to assemble model A and 15 minutes to package it. It takes the manufacturer 15 minutes to assemble model B and 5 minutes to package it. In a given week, the total available time for assembling is 2400 minutes, and the total available time for packaging is 1200 minutes. Model A earns a profit of $16 for each unit sold and model B earns a profit of $5 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week?

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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Model A: Model B:
A manufacturer produces two models of toy airplanes. It takes the manufacturer 25 minutes to assemble model A and 15 minutes to package it. It takes the manufacturer 15 minutes to assemble model B and 5 minutes to package it. In a given week, the total available time for assembling is 2400 minutes, and the total available time for packaging is 1200 minutes. Model A earns a profit of $16 for each unit sold and model B earns a profit of $5 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week?
Transcribed Image Text:A manufacturer produces two models of toy airplanes. It takes the manufacturer 25 minutes to assemble model A and 15 minutes to package it. It takes the manufacturer 15 minutes to assemble model B and 5 minutes to package it. In a given week, the total available time for assembling is 2400 minutes, and the total available time for packaging is 1200 minutes. Model A earns a profit of $16 for each unit sold and model B earns a profit of $5 for each unit sold. Assuming the manufacturer is able to sell as many models as it makes, how many units of each model should be produced to maximize the profit for the given week?
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