Question 2 Marge's Hair Salon production function is Q=f(K, L) = K0.5 10.5 where K is the number of hair dryers and L is the number of labour hours she employs. 2.1 Prove, with the aid of mathematics, the type of returns to scale exhibited by this production function. 2.2 At the moment, Marge uses 16 labour hours and 16 hair dryers. Suppose that Marge can use any amount of either input without affecting the market costs of the inputs. If Marge increased her use of labour hours and hair dryers by 10%, how much would her production increase? 2.3 Increasing the use of both inputs by 10% will result in Marge's costs increasing by exactly 10% If Marge increases her use of all inputs by 10%, what will increase more, her production or her costs? 2.4 Given that Marge earns R12.50 for each unit produced, do her profits go up or down when she increases her input use by 10%?
Question 2 Marge's Hair Salon production function is Q=f(K, L) = K0.5 10.5 where K is the number of hair dryers and L is the number of labour hours she employs. 2.1 Prove, with the aid of mathematics, the type of returns to scale exhibited by this production function. 2.2 At the moment, Marge uses 16 labour hours and 16 hair dryers. Suppose that Marge can use any amount of either input without affecting the market costs of the inputs. If Marge increased her use of labour hours and hair dryers by 10%, how much would her production increase? 2.3 Increasing the use of both inputs by 10% will result in Marge's costs increasing by exactly 10% If Marge increases her use of all inputs by 10%, what will increase more, her production or her costs? 2.4 Given that Marge earns R12.50 for each unit produced, do her profits go up or down when she increases her input use by 10%?
Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter7: Production And Cost In The Firm
Section7.A: Appendix: A Closer Look At Production And Cost
Problem 1AQ
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Transcribed Image Text:Question 2
Marge's Hair Salon production function is Q=f(K, L) = K0.5L0.5 where K is the number of hair dryers
and L is the number of labour hours she employs.
2.1
Prove, with the aid of mathematics, the type of returns to scale exhibited by this production
function.
".
2.2 At the moment, Marge uses 16 labour hours and 16 hair dryers. Suppose that Marge can use
any amount of either input without affecting the market costs of the inputs. If Marge increased
her use of labour hours and hair dryers by 10%, how much would her production increase?
2.3 Increasing the use of both inputs by 10% will result in Marge's costs increasing by exactly 10%
If Marge increases her use of all inputs by 10%, what will increase more, her production or her
costs?
2.4 Given that Marge earns R12.50 for each unit produced, do her profits go up or down when she
increases her input use by 10%?
Question 3
A monopolist faces the demand curve P = 18 - Q, where P is measured in rands per unit and Q in thousands
of units. The monopolist has a constant average cost of R6 per unit.
3.1
What are the monopolist's profit-maximising price and quantity and what is its resulting profit?
3.2
Calculate the firm's degree of monopoly power using the Lerner index.
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