The graph shows the profit from the daily production of x thousand kilograms of an industrial chemical.

Question:

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

(a) limx→6 P(x) 

(b) limx→10- P(x)

(c) limx→10+ P(x)

(c) limx→10 P(x)

(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 the first.

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