The best description that shows the influence high price has on the behavior of producers is that it is an incentive for producers to produce more.
At an increase in price, the producer is going to experience producer surplus.
The higher prices that the goods are being sold would cause the producer to want to produce more so that he can rake in more profit at this rise in price.
This can be justified by the law of supply that says that as the price of a good increases the quantity that would also be supplied of the good would also increase.
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