Solved: The supply function for a commodity gives the relation between the selling price

Chapter 8, Problem 8.4.6

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The supply function for a commodity gives the relation between the selling price and the number of units that manufacturers will produce at that price. For a higher price, manufacturers will produce more units, so is an increasing function of . Let be the amount of the commodity currently produced and let be the current price. Some producers would be willing to make and sell the commodity for a lower selling price and are therefore receiving more than their minimal price. The excess is called the producer surplus. An argument similar to that for consumer surplus shows that thesurplus is given by the integralCalculate the producer surplus for the supply functionat the sales level . Illustrate bydrawing the supply curve and identifying the producer surplusas an area.

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