A firm makes two types of products: desks and bookshelves. Profits are $25 per desk and $40 per bookshelf. Both products are processed on three machines A1, A2, and A3. The time required for each product in hours and total time available in hours per week on each machine are as follows: Machine Desk (hours) Bookshelf (hours) Available Time (hours) Al 23 4 A2 2 A3 4 3 40 50 30 55 50 How should the manufacturer schedule his production in order to maximize profit?

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A firm makes two types of products: desks and bookshelves.
Profits are $25 per desk and $40 per bookshelf. Both products
are processed on three machines A1, A2, and A3. The time
required for each product in hours and total time available in
hours per week on each machine are as follows:
Machine Desk (hours) Bookshelf (hours) Available Time (hours)
Al
23
4
A2
2
A3
4
3
40
50
30
55 50
How should the manufacturer schedule his production in order
to maximize profit?
Transcribed Image Text:A firm makes two types of products: desks and bookshelves. Profits are $25 per desk and $40 per bookshelf. Both products are processed on three machines A1, A2, and A3. The time required for each product in hours and total time available in hours per week on each machine are as follows: Machine Desk (hours) Bookshelf (hours) Available Time (hours) Al 23 4 A2 2 A3 4 3 40 50 30 55 50 How should the manufacturer schedule his production in order to maximize profit?
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