Toti Fruit Farms (Pty) Ltd 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.  The company has 40 000 peaches, 60 000 apples and 27 000 pears available for packaging.  The Gross Margin (GM) on package A is R27.50 and on package B is R22,50.  Assuming that all fruit packages can be sold, how many boxes of packages A and B should be prepared to maximize the total Gross Margin?  How much fruit will be left over, if any?  Solve graphically.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 30E: At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at...
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Toti Fruit Farms (Pty) Ltd 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.  The company has 40 000 peaches, 60 000 apples and 27 000 pears available for packaging.  The Gross Margin (GM) on package A is R27.50 and on package B is R22,50. 

Assuming that all fruit packages can be sold, how many boxes of packages A and B should be prepared to maximize the total Gross Margin?  How much fruit will be left over, if any?  Solve graphically.

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