2. [30 pts] For this question, consider the impact of variability on the average system performance. Assume that the inter-arrival times and processing times at each step follow at exponential distribution and that the Deal completion step must be immediately initiated by a senior professional after completing the Negotiation step. a. T he aim of the firm is to ensure that the average time that a deal takes to be completed (from end to end) is no more than 26 weeks. Provide at least two staffing scenarios that achieve this target. Qualitatively discuss the pros and cons of your two recommended scenarios. Under each of your scenarios in question 2a, how many deals on average are in process in the system at any given time? The average cost {base salary, bonus, and other perks) of a junior, mid-level, and senior professional are $2500ANeek, $5000Meek, and $15000Alveek respectively. The professionals are full-time workers and should be paid in full even if the actual work time cannot use up all their hours. Besides, to simplify of calculations, ignore paid leaves, paid vacations, and deal arrivals during thosetime slots -the salaries and theweekly deal arrivals should match with the number of working weeks per year. The average expectedvalue l[in NPV terms'l from a completeddeal is $4M. Due to time value of money and goodwill-related costs, for each week that a deal is in process it is estimatedthat1% of its value for the firm is lost. Given thesenumbers what is your optimal staffing recommendation to maximize the firm's vearlv profit