Rod, an industrial engineer manager with XYZ Corporation, has determined via the least squares method that the annual total cost per case of producing its top-selling drink can best describe by the quadratic relation TC=0.001Q2+3Q+2, and that revenue is approximately linear with r=$25 per case. Rod asks you to do the following: TC=0.001Q2+3Q+2r=$25 (a) Tabulate the profit function between the values of Q=5,000 and 25,000 cases. Estimate the maximum profit and the quantity at which it occurs. (b) Determine an equation for Qmax, the quantity at which the maximum profit should occur, and determine the amount o the profit at this point for the TC and r identified by the manager..

1. Rod, an industrial engineer manager with XYZ Corporation, has determined via the least squares
method that the annual total cost per case of producing its top-selling drink can best describe by
the quadratic relation TC=0.001Q2+3Q+2, and that revenue is approximately linear with r=$25 per
case. Rod asks you to do the following: TC=0.001Q2+3Q+2r=$25 (a) Tabulate the profit function
between the values of Q=5,000 and 25,000 cases. Estimate the maximum profit and the quantity
at which it occurs. (b) Determine an equation for Qmax, the quantity at which the maximum profit
should occur, and determine the amount o the profit at this point for the TC and r identified by the
manager.