A salesperson at a retail store is paid by a pure commission that is computed as a fraction of the total sales he makes, denoted by S. Specically, his income is 95, where c is the commission rate. Suppose sales depends on the salesperson's effort as follows: S=2xV where x is effort (measured in dollars). Thus, the salesperson's overall net income is chVzx. (a) Derive the choice of x that maximizes the salesperson's net income. (It should be a mction of c.) (b) The employer's prot is given by 7c=(l~c)S. Derive the realized value of it that results from the salesperson's optimal effort from (a). (7? should also be a function of c.) (0) Using your answer from (b), derive the value of c that maximizes the employer's prot