A manufacturer determines that the supply function for x units of a particular commodity is S(x)= In (x +3) and the corresponding demand function is D (x ) = 8- In (x +1). Part 1 out of 3 a. Find the demand price p = D (x) when the level of production is x = 8 units. The demand price when the level of production is 8 units is $ Round your answer to the nearest cent. Part 2 out of 3 b. Find the supply price p = S(x) when x = 100 units. . Round your answer to the nearest The supply price when 100 units are produced is $ cent. Part 3 out of 3 c. Find the level of production and unit price that correspond to market equilibrium (where supply = demand). Market equilibrium occurs when the level of production is units and the unit price is $ Round the level of production to the nearest whole number and the price to the nearest whole cent.

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