A specialty-freezer company has determined that the operating costs at one of its plants can be approximated by the function:
C = 0.35N2 - 20N + 2000
where C = daily operating cost (dollars) and N = daily production (freezers).
a. Create a data table and graph of this function between N=0 and N=100 freezers. Use a minimum of seven data points.
b. Judging from the graph, what is the minimum daily cost that can be attained?
c. Calculate the daily number of freezers which minimizes the operating costs. Show your calculation.
d. Calculate the exact minimum daily cost. Show your work.
To find the minimum of functions using a graph.