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 $$520$ per employee per quarter. The legal plan will cost $$468$ 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 $\frac{1}{4}\%$ 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 $$83,200$ per

year?

$

$($b$)$ What is the total annual cost of the new fringe benefits to the company?

$