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Write a piecewise function for the following: • The medical plan of PPO 90/10 fo

ID: 1132056 • Letter: W

Question

Write a piecewise function for the following:

• The medical plan of PPO 90/10 for the coverage of only EE+2 or >

Provided that:

• R(x) = Employee premium (as a function of salary)

•  x = salary

Healthcare Premiums Monthly Premium Dollars: Comprises of Coverage for Vision and Dental Tier 2 $39,999 Medical Plan Tier 3 $40,000-$64,999 Tier 5 >$90,000 $65,000-$89,999 Humana Coverage You $108 $208 You Your Em You $146 $291 S1,674s422 Your Em You Your Emplover $448 S835 S506 S960 $1,736 $127 $249 S362 S468 S877 $1,614 $166 S333 $484 $1,552 S487 Employee EE+1 EE+2 or > PPO 90/10 S919 S300

Explanation / Answer

A piecewise function is a function that is to be broken down into several parts given the different possible values of x. Here, the employee premium i.e. the amount that has to be paid by the employee monthly for his or her health coverage. Here the medical plan of PPO 90/10 for only EE+2 or > is being considered. Here, the total premium is paid partly by the employee and partly by the employer. The employee premium is the part paid by the employee. The piecewise function for the employee premium for the PPO 90/10 medical plan is given as follows:

R(x) = { $300 if x< $39,999

          { $362 if $40,000 <= x <= $64,999

          { $422 if $65,000 <=x<= $89,999

          { $484 if x>90,000

As can be seen above, the employee premium function has been broken down into four parts according to the income range to which it pertains.

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