Namboard produces two gift packages of fruit. Package A contains 20 peaches, 15 apples and 10 pears. Package B contains 10 peaches, 30 apples and 12 pears. Namboard has 40,000 peaches, 60,000 apples and 27 000 pears available for packaging. The profit on package A is E2.00 and the profit on B is E2.50. Assuming that all fruit packaged can be sold, what number of packages of types A and B should be prepared to maximize the profit?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Namboard produces two gift packages of fruit. Package A contains 20 peaches, 15 apples and 10
pears. Package B contains 10 peaches, 30 apples and 12 pears. Namboard has 40,000 peaches,
60,000 apples and 27 000 pears available for packaging. The profit on package A is E2.00 and
the profit on B is E2.50. Assuming that all fruit packaged can be sold, what number of packages
of types A and B should be prepared to maximize the profit?

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