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(Solved): 2. Robinson and Friday enjoy eating coconuts. Robinson's demand for coconuts is P = 12 - Q, and F ...



2. Robinson and Friday enjoy eating coconuts. Robinsons demand for coconuts
is
P = 12 - Q,and Fridays demand is
4Q
P = 12-
3
where P is price and Q is quantity. The supply of coconuts is
Q = P.
a. Derive the market

2. Robinson and Friday enjoy eating coconuts. Robinson's demand for coconuts is P = 12 - Q, and Friday's demand is 4Q P = 12- 3 where P is price and Q is quantity. The supply of coconuts is Q = P. a. Derive the market demand curve. [5 points] b. Derive the equilibrium price and quantity. [5 points] c. Draw an accurate supply and demand graph and label the equilibrium. [5 points] d. Calculate the price elasticity of demand using the mid-point method when the price increases 5% from its equilibrium. [5 points] e. Calculate the price elasticity of supply using the mid-point method when the quantity increases 5% from its equilibrium. [5 points]


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Robinson' demand for coconuts : P= 12-Q Qr= 12-P Friday's demand for coconuts : P=12 - 4Q/3 4Qf/3= 12-P Qf= (12-P)3/4 Qf= 9-0.75P (a) Market demand is the sum of individual demands. Market demand : Q= Qr+Qf = (12-P)+(9-0.75P) Q = 21-1.75P (b) Suppl
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