The total cost and demand functions for two goods 1 and 2 are given by the...
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The total cost and demand functions for two goods 1 and 2 are given by the equations: TC = 10 + 4Q₁ +6Q2, P₁ = 8-2Q₁ and P₂ = 20-0.5Qz where P and P₂ are the prices of the first and second goods, respectively. (a) Write down the equations for (i) the total revenue and (ii) profit. (6 marks) (b) Determine the number of units of each good which should be sold to maximise revenue. Calculate the maximum revenue. (6 marks) (c) Determine the number of units of each good which should be sold to maximise profits. Calculate the maximum profit. (6 marks) (d) Calculate the price elasticity of demand at maximum revenue and maximum profit for each good. Comment. (7 marks) The total cost and demand functions for two goods 1 and 2 are given by the equations: TC = 10 + 4Q₁ +6Q2, P₁ = 8-2Q₁ and P₂ = 20-0.5Qz where P and P₂ are the prices of the first and second goods, respectively. (a) Write down the equations for (i) the total revenue and (ii) profit. (6 marks) (b) Determine the number of units of each good which should be sold to maximise revenue. Calculate the maximum revenue. (6 marks) (c) Determine the number of units of each good which should be sold to maximise profits. Calculate the maximum profit. (6 marks) (d) Calculate the price elasticity of demand at maximum revenue and maximum profit for each good. Comment. (7 marks)
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Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
Posted Date:
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