Chapter 3.2, Problem 43E

Production The graph shows the profit from the daily production of $x$ thousand kilograms of an industrial disinfectant. Use the graph to find the following limits.

a. $\underset{x\to 6}{\lim }P\left(x\right)$

b. $\underset{x\to {10}^{-}}{\lim }P\left(x\right)$

c. $\underset{x\to {10}^{+}}{\lim }P\left(x\right)$

d. $\underset{x\to 10}{\lim }P\left(x\right)$

e. Where is the function discontinuous? What might account for such a discontinuity?

f. Use the graph to estimate the number of units of the chemical that must be produced before the second shift is as profitable as first.