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Name: A company manufactures two, A and B, on two machines, 1 and 2. It has
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Description: A company manufactures two, A and B, on two machines, 1 and 2. It has been determined that the company will realize a profit of $3/unit on Product A and a profit of $4/unit on product B. To manufacture 1 unit of Product A requires 6 min on Machine 1

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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A company manufactures two, A and B, on two machines, 1 and 2. It has been determined that the company will realize a profit of $3/unit on Product A and a profit of $4/unit on product B. To manufacture 1 unit of Product A requires 6 min on Machine 1 and 5 min on Machine 2. To manufacture 1 unit product of Product B requires 9 min on Machine 1 and 4 min on Machine 2. There are 5 hr of machine time available on Machine 1 and 3 hr of machine time available on Machine 2 in each work shift.

How many units of each product should be produced in each shift to maximize the company's profit?

What is the largest profit the company can realize?

Is there any time left unused on machines?

has infinitely many solutions, and give two of them.
34. PRODUCTION SCHEDULING A company manufactures two
products, A and B, on two machines, I and II. It has been
determined that the company will realize a profit of
$3/unit on Product A and a profit of $4/unit on Product B.
To manufacture 1 unit of Product A requires 6 min on
Machine I and 5 min on Machine II. To manufacture 1
unit of Product B requires 9 min on Machine I and 4 min
on Machine II. There are 5 hr of machine time available

244
CHAPTER 4 LINEAR PROGRAMMING: AN ALGEBRAIC APPROACH
39. PR
on Machine I and 3 hr of machine time available on
Machine II in each work shift. How many units of each
tu
E
product should be produced in each shift to maximize
the company's profit? What is the largest profit the
company can realize? Is there any time left unused on
the machines?
35. PRODUCTION SCHEDULING National Business Machines
Corporation manufactures two models of portable print-
ers: model A and model B. Each model A costs $100 to
make, and each model B costs $150. The profits are
$30 for each model A and $40 for each model B por-
table printer. If the total number of portable printers
demanded each month does not exceed 2500 and the
40

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