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Market supply and demand for ovens are given by p equals Upper S left parenthesis q...

Market supply and demand for ovens are given by p equals Upper S left parenthesis q right parenthesis equals 1750 plus 5 q and p equals Upper D left parenthesis q right parenthesis equals 2500 minus 10 q. The equilibrium price is ​$2000 per oven. ​

(a​) Find the market surplus up to equilibrium using the integral definition.

​(b​) Verify the market surplus by calculating MSequalsCSplusPS.

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