a). Given the demund function Q= 700 - 2P + 0.02Y. where P 25 and Y 5000. Find the price and income elasticity of demand. (Smarka). b). Find the profit-maximising level of (1) output, (i) price and fin) total profit for the monopolistie producer with the following demand function. P-74-1.5Q P- 72-20

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Chapter14: Monopoly
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Question 1.
a). Given the denand function Q = 700 - 2P+0.02Y. where P = 23 aznd Y= 5000. Find the price and incone
elasticity of demand (Gmarka).
b). Find the profit-maximising level of (1) output, (i) price and (in) total profit for the monopolistie producer
with the following demand funetion.
P=74-15Q
Pz = 72-2Q:
The joint cost function in given by C= Qf +20Q: + Qi + 120 (6marks)
e). For the following profit function. find the critical values, ue both the first and second order conditions to check
whether or not the citical values give rise to maximum er minimum points and find the maximum profit (7marka)
o-s0 + 3600 - 100
d) A discriminating monopoly producing a single product decides to, mell his product in two marketa. The profit
funetion for the monopoly is given by:
= 45Q. - Q + 6Q, - no - 10
Find the levels of Q, and Qa that will natisfy the first order condition for profit maximisation. Is the second order
condition for profit maximisation satistied?
Transcribed Image Text:Question 1. a). Given the denand function Q = 700 - 2P+0.02Y. where P = 23 aznd Y= 5000. Find the price and incone elasticity of demand (Gmarka). b). Find the profit-maximising level of (1) output, (i) price and (in) total profit for the monopolistie producer with the following demand funetion. P=74-15Q Pz = 72-2Q: The joint cost function in given by C= Qf +20Q: + Qi + 120 (6marks) e). For the following profit function. find the critical values, ue both the first and second order conditions to check whether or not the citical values give rise to maximum er minimum points and find the maximum profit (7marka) o-s0 + 3600 - 100 d) A discriminating monopoly producing a single product decides to, mell his product in two marketa. The profit funetion for the monopoly is given by: = 45Q. - Q + 6Q, - no - 10 Find the levels of Q, and Qa that will natisfy the first order condition for profit maximisation. Is the second order condition for profit maximisation satistied?
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