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  • Mathematical Determination of Equilibrium Price and Quantity Using Direct Functions

Determining a Supply Function Parameter from Equilibrium

The market for a particular type of widget is in equilibrium, with 80 units being sold at a price of 10perunit.Thequantitydemandedisdescribedbythefunction10 per unit. The quantity demanded is described by the function Q_d = 120 - 4P.Thequantitysuppliedisdescribedbythefunction. The quantity supplied is described by the function Q_s = c + 4P$, where 'c' is a constant. Based on the given equilibrium condition, what must be the value of the constant 'c' in the supply function?

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