You are the Economic Consultant for Zuku Farms Ghana Limited. Zuku produces cowpea in a community where
Question:
You are the Economic Consultant for Zuku Farms Ghana Limited. Zuku produces cowpea in a community where producers are able to switch back and forth between cowpea and groundnut depending on market conditions. Consequently, you were tasked by the management of Zuku and you estimated the demand function for cowpea as follows:
Qd = 1,000 - 9.5Pc + 16.2Pg + 0.2Y,
Assume also that your estimated supply function for cowpea as follows:
Qs = -25 + 3.5Pc - 1.5Pf - 0.5Pg + 0.25R
Where Qs is the quantity supplied of cowpea in bags, Pc and Pg are as defined above, Pf is the price of fertilizer per bag, R is the amount of rainfall (in inches).
If Pf = GH¢10, R = 40 inches and Pg = GH¢31.00.
b. Find the resulting supply function for cowpea and determine the equilibrium price and quantity.
c. Assuming the government imposes a tax of GH¢10 on every bag of cowpea sold, determine the new equilibrium price and quantity. Explain the effect of the policy on the market.
d. Sketch the demand curve and the supply curves for cowpea.