A manufacturer produces two models of toy airplanes. It takes the manufacturer 20 minutes to assemble model A and 10 minutes to package it. It takes the manufacturer 15 minutes to assemble model B and 12 minutes to package it. In a given week, the total available time for assembling is 1800 minutes, and the total available time for packaging is 1080 minutes. Model A earns a profit of $12 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?

Question

A manufacturer produces two models of toy airplanes. It takes the manufacturer

20

minutes to assemble model A and

10

minutes to package it. It takes the manufacturer

15

minutes to assemble model B and

12

minutes to package it. In a given week, the total available time for assembling is

1800

minutes, and the total available time for packaging is

1080

minutes. Model A earns a profit of

$12

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?

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