A manufacturer produces two models of toy airplanes. It takes the manufacturer 32 minutes to assemble model A and 8 minutes to package it. It takes the manufacturer 20 minutes to assemble model B and 10 minutes to package it. In a given week, the total available time for assembling is 3200 minutes, and the total available time for packaging is 960 minutes. Model A earns a profit of $15 for each unit sold and model B earns a profit of $9 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? Note that the ALEKS graphing calculator can be used to make computations easier. Model A: |I| unit(s) Model B: unit(s)
A manufacturer produces two models of toy airplanes. It takes the manufacturer 32 minutes to assemble model A and 8 minutes to package it. It takes the manufacturer 20 minutes to assemble model B and 10 minutes to package it. In a given week, the total available time for assembling is 3200 minutes, and the total available time for packaging is 960 minutes. Model A earns a profit of $15 for each unit sold and model B earns a profit of $9 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? Note that the ALEKS graphing calculator can be used to make computations easier. Model A: |I| unit(s) Model B: unit(s)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 115CM
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A manufacturer produces two models of toy airplanes. It takes the manufacturer
32
minutes to assemble model A and
8
minutes to package it. It takes the manufacturer
20
minutes to assemble model B and
10
minutes to package it. In a given week, the total available time for assembling is
3200
minutes, and the total available time for packaging is
960
minutes. Model A earns a profit of
$15
for each unit sold and model B earns a profit of
$9
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 32 minutes to assemble model A and 8 minutes to package it. It takes the
manufacturer 20 minutes to assemble model B and 10 minutes to package it. In a given week, the total available time for assembling is 3200 minutes, and the
total available time for packaging is 960 minutes. Model A earns a profit of $15 for each unit sold and modelB earns a profit of $9 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?
Note that the ALEKS graphing calculator can be used to make computations easier.
Model A: unit(s)
Model B: unit(s)
?
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