Business Calculus

Use the methods of calculus to find the (absolute) minimum cost over the interval (0, ∞) [We can’t let x = 0 in our cost function; do you see why?]. Include a sign analysis for the derivative function. Show ALL work in computing the critical points. Be sure that you explain why any relative minimum you find is also an absolute minimum (since this does not automatically follow). Round final values to 2-decimal places. Recreate the summary table below (with entries filled in) as part of your write-up for this part.

x-values of critical points
x-value resulting in absolute minimum cost over the interval (0, ∞) (2-decimal places)
Absolute minimum cost (round to nearest penny)

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