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A shopkeeper sells two types of chewing gum. Big G and Orbit. Each big G costs sh. 3 and each orbit costs sh. 4. The...

A shopkeeper sells two types of chewing gum. Big G and Orbit. Each big G costs sh. 3 and each orbit costs sh. 4. The shopkeeper has put aside sh. 300 for the purchase of gums. He needs at least twice as many Big G as Orbit and there must be at least 50 Big G and at least 20 orbit. Let x represent the number of Big G and y the number of orbit the shopkeeper purchases.
(a) Write down all the inequalities representing the information
(b) Represents the inequalities in (a) graphically
(c) The shopkeeper makes a profit of sh. 1.00 on each big G and sh. 1.50 on each orbit.
(i) Find the number of gums of each type that would give him maximum profit
(ii) Hence find the maximum profit

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Kavungya
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Kavungya answered the question on November 6, 2019 at 07:45

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