Question

bayside insurance offers two health plans. Under plan a giselle would have to pay the first 190 of her medical bills plus 35% of the rest. under plan b, giselle would pay the first $230, but only 25% of the rest. For what amount of medical bill will plan b save giselle money? Assume she has over $230 in bills

Answer 1

this is not for the OS Feedback group

Answer 2

Let's try and view this problem as 2 different sides of a divide. On one side, where plan A shines, we have the dollar values between $190 and $230, a total of $40 that plan B pays full price for and plan A only pays 35%, or $14. This saves $26 for Giselle. However, from here on out plan B takes over. For every dollar spent, plan A pays 35% and plan B pays 25%. So we need to know:
.25x + 26 = .35x
26 = .10x
260 = x
And don't forget this was 260 + where plan B takes over, the assumed $230. Everything over $490 with plan B saves Giselle money.

Answer 3

G pays = constant + (bill-constant)%
= constant + bill(%) - constant(%)
= bill% + constant(1) - constant(%)
= bill(%) + constant(1-%)



planA: = Bill(.35) +190(.65)
= Bill(.35) +123.50

planB = Bill(.25) +230(.75)
= Bill(.25) +172.50


Bill(.35) +123.50 = Bill(.25) +172.50
-Bill(.25) - 123.50 -Bill(.25) - 123.50
-------------------------------------
Bill(.10) = 49

Bill = 49/.1 = $490