Math Problem Statement

Latesha Moore has a choice at work between a traditional health insurance plan that pays 80 percent of the cost of doctor visits after a​ $250 deductible and an HMO that charges a ​$8 ​co-payment per visit plus a ​$17 monthly premium deduction from her paycheck. Latesha anticipates seeing a doctor once a month for her high blood pressure. The cost of each office visit is ​$60. She normally sees the doctor an average of three times a year for other health concerns. Comment on the difference in costs between the two​ health-care plans and the advantages and disadvantages of each. Question content area bottom Part 1 Latesha would pay an annual​ out-of-pocket cost with the traditional plan of ​$

enter your response here. ​(Round to the nearest​ dollar.) Part 2 Latesha would pay an annual​ out-of-pocket cost with the HMO plan of ​$

enter your response here. ​(Round to the nearest​ dollar.) Part 3 Latesha would pay more​ out-of-pocket cost with the ▼ HMO traditional plan.  ​(Select from the​ drop-down menu.) Part 4 Comment on the advantages and disadvantages of each health plan.  ​(Select the best choice​ below.) A. An advantage of a traditional plan is greater choice in medical care​ providers, as opposed to an HMO that limits choices through higher charges for​ non-affiliated doctors or difficulty in getting referrals.​ Typically, more expensive coverage and additional paperwork to process claims are disadvantages of a traditional health care plan. Advantages of an HMO plan include less expensive cost of​ coverage, reduced​ paperwork, and a focus on preventive care​ (many HMOs provide regular physical​ examinations). A disadvantage of the HMO would be possible restrictions on​ Latesha's choice of doctors and hospitals. This could be an issue since she has an identified medical problem and may need the care of a specialist. Under either​ plan, she will pay some of her health care costs​ out-of-pocket. B. An advantage of an HMO is greater choice in medical care​ providers, as opposed to a traditional plan that limits choices through higher charges for​ non-affiliated doctors or difficulty in getting referrals.​ Typically, more expensive coverage and additional paperwork to process claims are disadvantages of a HMO plan. Advantages of a traditional plan include less expensive cost of​ coverage, reduced​ paperwork, and a focus on preventive care​ (many traditional plans provide regular physical​ examinations). A disadvantage of the traditional plan would be possible restrictions on​ Latesha's choice of doctors and hospitals. This could be an issue since she has an identified medical problem and may need the care of a specialist. Under either​ plan, she will pay some of her health care costs​ out-of-pocket.

Solution

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Math Problem Analysis

Mathematical Concepts

Cost Analysis
Annual Cost Calculation
Percentage Calculation

Formulas

Total Cost = Number of Visits * Cost per Visit
Out-of-Pocket Cost (Traditional Plan) = Deductible + (Remaining Cost * (1 - Insurance Coverage Percentage))
Out-of-Pocket Cost (HMO) = (Co-payment * Total Visits) + (Monthly Premium * 12)

Theorems

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Suitable Grade Level

Grades 10-12