To determine which statement is true based on Rachel's situation, let's calculate the total annual costs for both options, taking into account her expected health care needs.
Option 1: Fee-for-Service
- Monthly Premium: $225
- Annual premium cost: \( 225 \times 12 = 2,700 \)
- Deductible: $7,500
- Co-pays:
- Primary Care Physician: $30 (1 visit per month) → \( 30 \times 12 = 360 \)
- Specialist: $75 (1 annual visit) → \( 75 \)
- Generic Drugs: $10 (twice a month for 2 prescriptions) → \( 10 \times 2 \times 12 = 240 \)
Total annual costs for Option 1, without hitting the deductible:
- Total co-pays: \( 360 + 75 + 240 = 675 \)
- Total costs: \( 2,700 + 675 = 3,375 \)
Since Rachel does not meet the deductible of $7,500, she will not receive any contributions from the insurance, and her total out-of-pocket costs will remain the full premium and co-pays without hitting the deductible.
Option 2: HMO
- Monthly Premium: $630
- Annual premium cost: \( 630 \times 12 = 7,560 \)
- Co-pays:
- Primary Care Physician: $20 (1 visit per month) → \( 20 \times 12 = 240 \)
- Specialist: $62 (1 annual visit) → \( 62 \)
- Generic Drugs: $10 (twice a month for 2 prescriptions) → \( 10 \times 2 \times 12 = 240 \)
Total annual costs for Option 2:
- Total co-pays: \( 240 + 62 + 240 = 542 \)
- Total costs: \( 7,560 + 542 = 8,102 \)
Summary of Costs
- Total annual cost for Option 1: $3,375
- Total annual cost for Option 2: $8,102
Analysis of Statements
a. False: The higher co-pays and annual deductible in Option 1 do not make it more expensive. It's significantly cheaper. b. False: The higher premium for Option 2 does not offset the lower co-pays because Option 1 is still less expensive overall. c. True: Rachel's health care needs will cost less under Option 1, assuming she avoids additional healthcare costs, due to the lower overall costs of $3,375 versus $8,102 for Option 2. d. False: Even with higher premiums, the insurance company covers fewer healthcare costs in Option 1 because Rachel does not hit the deductible.
Based on this analysis, the correct answer is: c. Rachel's health care needs will cost less under Option 1 if she is able to avoid additional health care costs.