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suppose what the consumer always consumes 2 spoons of sugar with each cup of coffee.if the price of sugar is p1 per spoonful and the price of coffee is y2 per cup and the consumer has m dollars to spend on coffee and sugar,how much he or she want to purchase? |
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Answer» The consumer will purchase\frac{m}{2 p 1+p 2} 2p1+p2m quantity based on the budget.Explanation:Given the price of a spoonful of sugar is P1;The price a cup of COFFEE is p2;The amount of MONEY the consumer has is m dollars.Let us ASSUME that the consumer consumes x cups of coffee.Therefore, he would buy x coffee and 2x spoons of sugar.On satisfying the budget constraint, we can conclude that2 p 1 x+p 2 x \leq m2p1x+p2x≤mIgnoring the inequality,2 p 1 x+p 2 x=m2p1x+p2x=m \therefore x=\frac{m}{2 p 1+p 2 x}∴x= 2p1+p2xm Hence, the consumer purchases \frac{m}{2 p 1+p 2} 2p1+p2m of sugar and coffee. |
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