Problem Page

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
 

$
10

 

for each unit sold and model B earns a profit of
 

$
8

 

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)