2. In classes 2 and 3, we discussed different versions of a model of rms emitting pollution. This problem walks through a simple variation of that model and has you think about its interpretation. Consider the following description of rm production: Q=(1-S)L Z=(1-s)(\"\")L Here Q represents the quantity of the firm's output, s is the share of productive factors dedicated to abating pollution (rather than producing output), L is the amount of productive factor inputs (i.e., labor), and a is a parameter. a. A firm with constant-returns-to-scale, Cobb-Douglas production technology, has Q=ABB", where A and B are inputs to production and B and u are parameters, with B+u=l. Rewrite output as a function of pollution and labor and show that it is Cobb- Douglas. What are the exponents on each input? b. In 1-3 sentences, explain what it means to have output as a function of pollution. c. One property of Cobb-Douglas technology is that each productive input has \"constant factor shares.\" For example, if a rm has the production technology Q=ABB\" , this would imply that the rm's total expenditure on input A is BC, where C is the firm's total spending. What does this property imply is total spending on pollution taxes? (1. Does the parameter a tell us directly about spending on pollution abatement technologies? Why or why not