Please show your answer step by step with reasons. (i) A consumer has income of £3,000. Apple juice is priced at £3 a bottle and cheese is priced at £6 a kilo. Draw the budget constraint for a consumer with standard preferences. What is the slope of this budget constraint? (ii) Show a consumer’s budget constraint and indifference curves for apple juice and cheese. Show the optimal consumption choice. If the price of juice is £3 a bottle and the price of cheese is £6 a kilo, what is the marginal rate of substitution at this optimum?  (iii) The price of cheese rises from £6 to £10 a kilo, while the price of juice remains at £3 a bottle. For a  consumer with a constant income of £3,000, show what happens to consumption of juice and cheese.  Decompose the change

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Please show your answer step by step with reasons.

(i) A consumer has income of £3,000. Apple juice is priced at £3 a bottle and cheese is priced at £6 a kilo. Draw the budget constraint for a consumer with standard preferences. What is the slope of this budget constraint?

(ii) Show a consumer’s budget constraint and indifference curves for apple juice and cheese. Show the optimal consumption choice. If the price of juice is £3 a bottle and the price of cheese is £6 a kilo, what is the marginal rate of substitution at this optimum? 

(iii) The price of cheese rises from £6 to £10 a kilo, while the price of juice remains at £3 a bottle. For a 
consumer with a constant income of £3,000, show what happens to consumption of juice and cheese. 
Decompose the change into income and substitution effects.

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