Question #288471

Suppose the government passe a law to keep price above the $16 .

*How many units of this good will be bought and sold .?

*Calculate the value to consumers at this quantity?

* Calculate the consumers surplus at this quantity ?

* Calculate the cost of producing this quantity ?

* Calculate the producer surplus at this quantity ?

* Calculate the change in consumer surplus caused by this price floor ?

*Calculate the changenin producer surplus caused by this price floor?

* Calculate the dead weight loss caused by this price floor ?


1
Expert's answer
2022-01-19T16:16:51-0500

Admit

Qd=P-3

Qs=30-P

P=17

Qd=17-3=14

QS=30-17=13


Qd=Qs

P-3=30-P

2P=33

P=16.5

Q=13.5


16.5×13.5=222.7516.5\times13.5=222.75


consumerssurplus=0.5QdΔP=0.5×13.5(1716.5)=3.375consumers surplus=0.5Qd\Delta P=0.5\times13.5(17-16.5)=3.375

Pmin=15

producersurplus=0.5×(16.515)×13.5=10.125producer surplus=0.5\times(16.5-15)\times13.5=10.125

changeinconsumersurpluscaused=3.3750.5×13.5(1715)=10,125change in consumer surplus caused=-3.375-0.5\times13.5(17-15)=-10,125

changeinproducersurplus=10.1250.5×13.5(1715)=23.625change in producer surplus=10.125-0.5\times13.5(17-15)=23.625

deadweightloss=0.5×(1715)(13.513)=0.5dead weight loss=0.5\times*(17-15)(13.5-13)=0.5


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