QUESTION ONE The only source of income available to Doreen, a level 200 student of UEW is her monthly stipend (M) from her parents. She neither saves nor borrows. Assuming she spends all her income on only two goods food (F) and Clothes (C), with Pr and Pc being the prices of the two goods respectively and having a utility function of the form: U = 6F°C} i. Write an expression for Doreen's budget constraint. ii. Assuming good Fis on the vertical axis, produce a sketch of her budget constraint and determine the slope. ii. Find Doreen's monthly equilibrium demand functions for both goods. iv. With Pr and Pcgiven as ¢12 and ¢15 respectively and income of ¢300, calculate the equilibrium quantities of both goods. v. Compute the price elasticity of demand for both goods and interpret your results. vi. If income and prices of the two goods increase by 50%, calculate the equilibrium quantities of Food and Clothing.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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QUESTION ONE
The only source of income available to Doreen, a level 200 student of UEW is her
monthly stipend (M) from her parents. She neither saves nor borrows. Assuming she
spends all her income on only two goods food (F) and Clothes (C), with Pr and Pc being
the prices of the two goods respectively and having a utility function of the form:
U = 6F°C
i. Write an expression for Doreen's budget constraint.
ii. Assuming good Fis on the vertical axis, produce a sketch of her budget
constraint and determine the slope.
iii. Find Doreen's monthly equilibrium demand functions for both goods.
iv. With Pr and Pcgiven as ¢12 and ¢15 respectively and income of ¢300, calculate
the equilibrium quantities of both goods.
v. Compute the price elasticity of demand for both goods and interpret your results.
vi. If income and prices of the two goods increase by 50%, calculate the equilibrium
quantities of Food and Clothing.
Transcribed Image Text:QUESTION ONE The only source of income available to Doreen, a level 200 student of UEW is her monthly stipend (M) from her parents. She neither saves nor borrows. Assuming she spends all her income on only two goods food (F) and Clothes (C), with Pr and Pc being the prices of the two goods respectively and having a utility function of the form: U = 6F°C i. Write an expression for Doreen's budget constraint. ii. Assuming good Fis on the vertical axis, produce a sketch of her budget constraint and determine the slope. iii. Find Doreen's monthly equilibrium demand functions for both goods. iv. With Pr and Pcgiven as ¢12 and ¢15 respectively and income of ¢300, calculate the equilibrium quantities of both goods. v. Compute the price elasticity of demand for both goods and interpret your results. vi. If income and prices of the two goods increase by 50%, calculate the equilibrium quantities of Food and Clothing.
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