Find the Quantity Q Which Maximizes Profit If the Total $R(q)=8 q-0.02 q^{2}$

question 84

Short Answer

Find the quantity q which maximizes profit if the total revenue, R(q), and the total cost, C(q), are given in dollars by $R(q)=8 q-0.02 q^{2}$ $C(q)=300+1.9 q$ , where $0 \leq q \leq 600$ units.
Round to the nearest whole number.

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Definitions:

Hypothetical Conclusion

A conclusion that is based on a conditional statement, depending largely on a "if-then" scenario.

Fallacy

A fault in logical judgment that causes an argument to be invalid or not based on sound reasoning.

Denying Antecedent

A logical fallacy involving the incorrect assumption that the falsehood of a premise invalidates the conclusion, particularly in conditional reasoning.

Hypothetical Syllogism

A logical argument involving two conditional statements and a conclusion that logically follows from them.