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We can use the standard linear equation formula y=m×x+b where m is slope and b is intercept. Since the equilibrium quantity (Q) and Price (P) in an ideal micro-econ market is determined by the point of intersection of the supply and demand curves we simply have to substitute one equation into the other.
3:23 5:27 Suggested clip Finding Equilibrium using Linear Demand and Supply Equations YouTubeStart of suggested client of suggested clip Finding Equilibrium using Linear Demand and Supply Equations
3:23 5:27 Suggested clip Finding Equilibrium using Linear Demand and Supply Equations YouTubeStart of suggested client of suggested clip Finding Equilibrium using Linear Demand and Supply Equations
In its standard form a linear demand equation is Q = a — BP. That is, quantity demanded is a function of price. The inverse demand equation, or price equation, treats price as a function g of quantity demanded: P = f(Q). To compute the inverse demand equation, simply solve for P from the demand equation.
MC=10+Q=10+. 5Q>minimized at Q=0. At Q=0, AVC=10. Thus, the cutoff price at which to temporarily shut down is P=10.
Long run supply Thus its supply function is given by the part of its marginal cost function above its long run average cost function. (If its maximal profit is positive it wants to operate. If its maximal profit it negative it does not want to operate.)

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