The revenue (in dollars) for selling q items is given by r ( q ) = 348 q − 2 q 2 and the costs (in dollars) of producing q items is given by c ( q ) = 100 + 60 q . find the quantity that gives the maximum profit.

The quantity of 72 that gives the maximum profit of 10268

Explanation:

The profit function p(q) is given by the difference between the revenue and the cost function,

                   P(q) = R(q) - C(q)

The revenue (in dollars) for selling q items is given by  

The costs (in dollars) of producing q items is given by C(q)= 100 + 60q

The above profit function is a downward opening parabola. Its maximum value occurs,

Maximum value,

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.