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Thu 9 Feb, 2012 01:58 pm
Math, Mathematics, Algebra, Formulas
Here are the basic problem parts:
1) SP - DP(1) +FF = 4Req
2) E + DP(2) = Cur
Examples:
1) If SP = 500,000, DP(1) = 0, FF = 10,750
Req = 510,750 / 4 = 127,688
2) If E = 104,250, DP(2) = 0
Cur = 104,250
At what point will DP(1&2) be the same and Cur and Req also be the same rounded to the nearest whole number
If DP is increased by the difference between Cur and Req, the values are not accurate:
127,688 - 104,250 = 23,438
1) If SP = 500,000, DP(1) = 23,438, FF = 10,750
Req = (500,000-23,438+10,750) / 4 = 121,828
2) If E = 104,250, DP(2) = 23,438
Cur = 107,688
Ideally, 18,750 should be the result.
I tried substituting Cur for Req as the should be equal to each other, but I get the following
1) SP - DP(1) +FF = 4Req
2) E + DP(2) = Cur
500,000-DP(1) +10,750 = 4 (104,250 + DP(2))
125,000-.25(DP(1)) +2,687.50 = 104,250 + DP(2)
125,000-104250+2,687.50 = .25(DP(1)) + DP(2)
18,062.50 = 1.25DP - as DP(1) and DP(2) should be the same
18,062.50 / 1.25 = DP = 14,450
Any ideas?
@goofy78270,
You have two equations in seven variables. Even if you restrict two of them by setting them equal, you have two equations in five variables. That's not going to have a unique solution. If you set DP(1)=DP(2) and Cur=Req you can restate everything to:
SP - DP + FF = 4(E + DP)
SP + FF - 4E = 5DP
Pick any value you want for three of those variables and compute the fourth.