A certain product has supply and demand functions given by p = 60q + 400 and p = 11400 - 50q , respectively. (a) If the price p is $3400. how many units are supplied and how many are demanded? () What price gives market equilibrium, and how many units are demanded and supplied at this price?

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step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

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