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Question 2 In this question. we'll consider a version of the authority model where the principal works with two agents, each on a separate project. There is one principal who is in charge of two projects. i = l. 2. The principal hires one agent for each project; we identify the agent associated with project i as Agent i. Each Agent i separately chooses effort e,- to produce an idea for his own project i. Each Agent is effort cost is %e,2. At the same time. the Principal Pchooses e'ort levels E, and E2 to devote to each project. Her total e'ort cost is (E1 + 52):. The probability that Agent 1' produces an idea for Project 1' equals his effort e. The probability that P produces an idea for Project 1' equals iii. For Project 1: if the Principal's idea is implemented. then the Principal and Agent 1 both receive 1. lngent 1's idea is implemented. then the principal receiveso