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:

Stock Issue

The process by which a company distributes its shares to investors, either through initial public offerings (IPOs) or secondary offerings, to raise capital.

Legal Costs

Expenses associated with litigation, such as lawyer fees, court fees, and other expenditures related to legal processes and services.

Rights Offering

A financial opportunity allowing current shareholders to purchase additional shares directly from the company at a predetermined price, usually at a discount to the market price.

Subscription Price

The price at which existing shareholders are allowed to buy additional shares of a company's stock in a rights issue, usually at a discount to the current market price.