## Question

###### A manufacturer can produce digital recorders at the cost of $50 apiece. It is estimated that if the recorders are sold for p dollars apiece, consumers will buyq = 120 - precorders each month1, Express the manufacturer's profit P as a function q.2. What is the average rate of change in profit obtained as the level of production increases from q 0 to q = 2023. At what rate is profit changing when q = 20 recorders are produced? Is the profit increasing or decreasing at this level of production

A manufacturer can produce digital recorders at the cost of $50 apiece. It is estimated that if the recorders are sold for p dollars apiece, consumers will buy q = 120 - p recorders each month 1, Express the manufacturer's profit P as a function q. 2. What is the average rate of change in profit obtained as the level of production increases from q 0 to q = 202 3. At what rate is profit changing when q = 20 recorders are produced? Is the profit increasing or decreasing at this level of production? Make sure to include all of the details in your response and upload it at the following link

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