Suppose you are the human resource manager for a cellular phone company with $700$ employees. Top management has asked you to implement three additional fringe benefits that were negotiated with employee representatives and agreed upon by a majority of the employees. These include group term life insurance, a group legal services plan, and a wellness center.The life insurance is estimated to cost $$520$ per employee per quarter. The legal plan will cost $$416$ semiannually per employee. The company will contribute $40\%$ to the life insurance premium and $75\%$ to the cost of the legal services plan. The employees will pay the balance through payroll deductions from their biweekly paychecks. In addition, they will be charged $14\%$ of their gross earnings per paycheck for maintaining the wellness center. The company will pay the initial cost of $$800,000$ to build the center. This expense will be spread over $5$ years.$($a$)$What total amount should be deducted per paycheck for these new fringe benefits for an employee earning $$93,600$ per year?$ $($b$)$What is the total annual cost of the new fringe benefits to the company?