An industrial production process costs $$ C(q) $$ million dollars to produce $$ q $$ million units; these units then sell for $$ R(q) $$ million dollars. If $$ C(2.1)=5.4, R(2.1)=6.6, M C(2.1)=0.7 $$, and $$ M R(2.1)=0.8 $$, calculate the following. (a) The profit earned by producing 2.1 million units. The profit is i. (b) The approximate change in revenue if production increases from 2.1 to 2.13 million units. The change in revenue is about i (c) The approximate change in revenue if production decreases from 2.1 to 2.04 million units. The change in revenue is about i (d) The approximate change in profit in parts (b) and (c).

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(a) The profit for 2.1 million units is $$1.2$$ million dollars. (b) Revenue increase from 2.1 to 2.13 million units is $$0.024$$ million dollars. (c) Revenue decrease from 2.1 to 2.04 million units is $$0.048$$ million dollars. (d) Profit change in (b) and (c) is $$0.003$$ million dollars.

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