[Steps Shown] [Profit maximization - I] Profit realized when x thousand gallons of Exall are produced and sold is \Pi (x) thousand dollars, where \Pi (x)=(100+10x)^1/2-0.02x
Question: [Profit maximization - I]
Profit realized when x thousand gallons of Exall are produced and sold is \(\Pi \left( x \right)\) thousand dollars, where
\[\Pi \left( x \right)={{\left( 100+10x \right)}^{\frac{1}{2}}}-0.02x\]- Find the output quantity x* which leads to maximum profit.
- Compute the maximum profit.
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