The law of Supply and Demand states that in a competitive market environment, supply tends to equal demand, and when this occurs, the market is said to be in equilibrium. Thus, market equilibrium occurs at the production level, xe, where S(xe) = D(xe). Note that S(x) is the supply function and D(x) is the demand function. For the supply and demand functions below find the value of xe where equilibrium occurs.
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D(x) = -2x+275 and S(x) = 3x+150.
In equilibrium, D(x) = S(x)
-2x + 275 =3x + 150
Move x terms to ...
The solution shows how to find the equilibrium point when both supply and demand functions are given.