In an economic enterprise, the total amount T that is produced is a function of the amount n of a given input used in the process of production. For example, the yield of a crop depends on the amount of fertilizer used, and the number of widgets manufactured depends on the number of workers. Because of the law of diminishing returns, a graph for T commonly has an inflection point followed by a maximum, so a cubic model may be appropriate. In this exercise we use the model shown below, with n measured in thousands of units of input and T measured in thousands of units of product. T = −2n3 + 3n2 + n (a) Make a graph of T as a function of n. Include values of n up to 1.5 thousand units.         (b) Express using functional notation the amount produced if the input is 1.02 thousand units. (Round your answer to two decimal places.) T(  ) Calculate that value. (Round your answer to two decimal places.)  thousand units (c) Find the approximate location of the inflection point. (Round your answers to one decimal place.) (n, T)  =  (  ,  ) Explain what it means in practical terms. (d) What is the maximum amount produced? (Round your answer to two decimal places.) T =  thousand units