Problem

In Exercise, a supply function s is given. A supply function gives the price s(x) at which...

In Exercise, a supply function s is given. A supply function gives the price s(x) at which exactly x units of a product is supplied. Its derivative s′(x) gives the instantaneous rate of change in the price of the product at supply level x.

Macroeconomics—Supply Function: The U-Build-It home improvement corporation determines that the supply function for their Haul-Out disposal bags is given by

s(x) = 6.81x0.33

where x is the number of boxes of bags supplied and s(x) represents the price per box of bags. Evaluate s′( 5) and interpret.

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