Firm 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. Firm has 40 000 peaches, 60 000 apples and 27 000 pears available for packaging. The profit on package A is $2.00 and the profit on B is $2.50. 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
Chapter2: Second-order Linear Odes
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Firm 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. Firm has 40 000 peaches, 60 000 apples and 27 000 pears available for packaging. The profit on package A is $2.00 and the profit on B is $2.50. Assuming that all fruit packaged can be sold, what number of packages of types A and B should be prepared to maximize the profit?

 

Firm 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. Firm has 40
000 peaches, 60 000 apples and 27 000 pears available for packaging. The profit on
package A is $2.00 and the profit on B is $2.50. Assuming that all fruit packaged can
be sold, what number of packages of types A and B should be prepared to maximize
the profit?
Transcribed Image Text:Firm 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. Firm has 40 000 peaches, 60 000 apples and 27 000 pears available for packaging. The profit on package A is $2.00 and the profit on B is $2.50. 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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