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Two fragrances A and B are used to make the perfumes Laughter and Joy.You require 3 g...

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christiano-cr7 | (Level 1) Salutatorian

Posted August 1, 2013 at 10:35 PM via web

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Two fragrances A and B are used to make the perfumes Laughter and Joy.You require 3 g of fragrance A and 4 g of fragrance B to produce 1 litre of Laughter.One litre of Joy requires 9 g of fragrance A and 6 g of fragrance B.At least 3 litres of Laughter needs to be produced per week.At the beginning of a particular week the company has 27 g of fragrance A and 30 g of fragrance B. Let x and y be the number of litres of Laughter and Joy respectively that are produced per week.

  1. If the profit on 1 l of Laughter is R30 and the profit on 1 l of Joy is R50, express the profit, P, in terms of x and y.

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted August 1, 2013 at 10:51 PM (Answer #1)

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In a week we produce x litres of laughter and y litres of joy.

Profit from 1L of laughter = 30

Profit from 1L of Joy = 50

Profit from laughter per week = 30x

Profit from Joy per week = 50y

Total profit = 30x+50y

So the profit function P can be determined as;

P = 30x+50y

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