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King Kanuta on Nutting Atoll collects taxes in kind. He demands that each of his

ID: 1216838 • Letter: K

Question

King Kanuta on Nutting Atoll collects taxes in kind. He demands that each of his subjects gives him 1 coconut for every coconut that they consume. The king puts all of the coconuts that he collects in a large pile and bums them. The supply of coconuts is given by S(p_s) = 100 ps, where p_s is the price received by suppliers. The demand for coconuts by the king's subjects (consumers) is given by D(p_d) = 1,500 - 100pd, where p_d is the price paid by consumers. In equilibrium, the price received by suppliers will be $6 $9 $7.50 $15 None of the above.

Explanation / Answer

king's subject demand function is D(pd) = 1500 - 100pd

suppiler's function S(Ps) = 100ps

in equilibrium , D(pd) =  S(Ps)

thus equilibrium price for coconut will be $7.5 and equilibrium quantity supplied will be 750 .

to quote the question again, it states that if a subject want 5 coconut for himself , he would have to purchase 10 coconuts and give 5 to the king. therefore, it costs 2Ps to one of the king's subjects to get an extra coconut for himself. thus ,

new demand curve considering kings tax in kind will be.= 3000 - 200Pd

also, when the price paid to supplier is PS, PD = 2Ps .

THEREFORE , Ps will be $7.5.

thus answer is C) $7.5