3. The industry producing and selling wooden pallets is comprised of 100 identical firms each of which has a short-run total cost function given by Cs = 0.5q² + 10g + 5, where q is output of (standardized) wooden pallets per day. (a) What is the equation of the short-run supply curve for each firm? (b) What is the equation of the short-run supply curve for the market as a whole?

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter13: Firms In Competitive Markets
Section: Chapter Questions
Problem 5CQQ
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3. The industry producing and selling wooden pallets is comprised of 100 identical firms
each of which has a short-run total cost function given by
C's = 0.5g² + 10g + 5,
where q is output of (standardized) wooden pallets per day.
(a) What is the equation of the short-run supply curve for each firm?
(b) What is the equation of the short-run supply curve for the market as a whole?
3
Transcribed Image Text:3. The industry producing and selling wooden pallets is comprised of 100 identical firms each of which has a short-run total cost function given by C's = 0.5g² + 10g + 5, where q is output of (standardized) wooden pallets per day. (a) What is the equation of the short-run supply curve for each firm? (b) What is the equation of the short-run supply curve for the market as a whole? 3
Suppose the demand for total wooden-pallet production is given by
Q = 1 100 – 50p.
(c) What will be the equilibrium in this market? What will each firm's short-run profit
be?
(d) Draw an appropriate graph showing the determination of the part-(c) market
equilibrium and use it to find the associated total consumer and producer surplus.
(e) Show that the total producer surplus you calculated in part (d) is equal to total
industry short-run profit plus total industry short-run fixed cost.
Transcribed Image Text:Suppose the demand for total wooden-pallet production is given by Q = 1 100 – 50p. (c) What will be the equilibrium in this market? What will each firm's short-run profit be? (d) Draw an appropriate graph showing the determination of the part-(c) market equilibrium and use it to find the associated total consumer and producer surplus. (e) Show that the total producer surplus you calculated in part (d) is equal to total industry short-run profit plus total industry short-run fixed cost.
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