Final answer:
To find the average rate of change of profit, divide the difference in profit by the difference in time. To find the instantaneous rate of change in profit with respect to the number of items produced, use the limit process.
Step-by-step explanation:
The average rate of change of the profit can be found by taking the difference in profit and dividing it by the difference in time. Since the profit is given as a function of selling t.v. sets, we need to find the change in profit and change in time for a given interval. Once we have these values, we can calculate the average rate of change.
The instantaneous rate of change in profit with respect to the number of items produced can be found using the limit process. We calculate the difference quotient by taking the difference in profit and dividing it by the difference in the number of items produced. Then, we take the limit of this difference quotient as the difference in the number of items produced approaches zero. This will give us the instantaneous rate of change.