Acompany would like to evaluate two incentive schemes that take effect once the worker exceeds standard performance. in the first case the benefits are split 30% to the worker and 70% to the company up to 120% performance. if the worker exceeds 120% performance, all of the earnings go to the worker. in the second case, all earnings beyond standard performance are split 50/50 between the worker and the company.

a. plot the earnings for each scheme.
b. derive the equations for worker earnings and normalized unit labor costs for each scheme