How to determine the number of units?

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Guest

Delta = 1000;
Points_______Units
0___________1
1000________2 [0+1*Delta = 1000]
3000________3 [1000+2*Delta = 3000]
6000________4 [3000+3*Delta = 6000]
10000_______5 [6000+4*Delta = 10000]
15000_______6 [10000+5*Delta = 15000]
21000_______7 [15000+6*Delta = 21000]
28000_______8 [21000+7*Delta = 28000]

f(n) = Delta*[(n-1)+(n-2)+...+(n-n)]
where n = number of units, and f(n) = the minimum points to achieve the
number of units.

Does anyone know what function in excel to determine the number of units
based on certain point levels? such as if the points are 25600 in Cell A1,
then the number of units will be 7 in Cell B1?
Thank you for any suggestion
Eric
 
Hi!

Build a 2 column table like the one you've posted that lists the points in
the left column and the units in the right column.

Assume this table is in the range A6:B13 eith A5 and B5 being the headers
Points, Units.

A1 = 25600

B1 = formula:

=IF(A1="","",VLOOKUP(A1,A6:B13,2))

Biff
 
Thank you for your suggestion, could it be possible using a formula to
determine the number of units?
Thank you
Eric

Biff said:
Hi!

Build a 2 column table like the one you've posted that lists the points in
the left column and the units in the right column.

Assume this table is in the range A6:B13 eith A5 and B5 being the headers
Points, Units.

A1 = 25600

B1 = formula:

=IF(A1="","",VLOOKUP(A1,A6:B13,2))

Biff

Eric said:
Delta = 1000;
Points_______Units
0___________1
1000________2 [0+1*Delta = 1000]
3000________3 [1000+2*Delta = 3000]
6000________4 [3000+3*Delta = 6000]
10000_______5 [6000+4*Delta = 10000]
15000_______6 [10000+5*Delta = 15000]
21000_______7 [15000+6*Delta = 21000]
28000_______8 [21000+7*Delta = 28000]

f(n) = Delta*[(n-1)+(n-2)+...+(n-n)]
where n = number of units, and f(n) = the minimum points to achieve the
number of units.

Does anyone know what function in excel to determine the number of units
based on certain point levels? such as if the points are 25600 in Cell A1,
then the number of units will be 7 in Cell B1?
Thank you for any suggestion
Eric
Click to expand...
Click to expand...
 
Does anyone know what function in excel to determine the number of
Hi. It looks to me like your point level (P) sequence is based on your
units (U) with the following equation.

P = 1000*U*((U + 1)/2)

Therefore, your integer "Units" can be calculated with the following
equation based on points (P).

=CEILING((1/50)*(SQRT(5)*SQRT(P + 125) - 25),1)

When cell 'P' is 25600, the above returns 7.
--
HTH. :>)
Dana DeLouis
Windows XP, Office 2003


Eric said:
Thank you for your suggestion, could it be possible using a formula to
determine the number of units?
Thank you
Eric

Biff said:
Hi!

Build a 2 column table like the one you've posted that lists the points
in
the left column and the units in the right column.

Assume this table is in the range A6:B13 eith A5 and B5 being the headers
Points, Units.

A1 = 25600

B1 = formula:

=IF(A1="","",VLOOKUP(A1,A6:B13,2))

Biff

Eric said:
Delta = 1000;
Points_______Units
0___________1
1000________2 [0+1*Delta = 1000]
3000________3 [1000+2*Delta = 3000]
6000________4 [3000+3*Delta = 6000]
10000_______5 [6000+4*Delta = 10000]
15000_______6 [10000+5*Delta = 15000]
21000_______7 [15000+6*Delta = 21000]
28000_______8 [21000+7*Delta = 28000]

f(n) = Delta*[(n-1)+(n-2)+...+(n-n)]
where n = number of units, and f(n) = the minimum points to achieve the
number of units.

Does anyone know what function in excel to determine the number of
units
based on certain point levels? such as if the points are 25600 in Cell
A1,
then the number of units will be 7 in Cell B1?
Thank you for any suggestion
Eric
Click to expand...
Click to expand...
Click to expand...
 
Oops! Let me change that sequence slightly...

P = 1000 * (U- 1)*U/ 2
or...
P = 500*(U-1)*U

Therefore, try this equation instead given points 'P'

=INT((25 + SQRT(5)*SQRT(125 + P))/50)

--
HTH. :>)
Dana DeLouis
Windows XP, Office 2003

Points_______Units
0___________1
1000________2 [0+1*Delta = 1000]
3000________3 [1000+2*Delta = 3000]
6000________4 [3000+3*Delta = 6000]
10000_______5 [6000+4*Delta = 10000]
15000_______6 [10000+5*Delta = 15000]
21000_______7 [15000+6*Delta = 21000]
28000_______8 [21000+7*Delta = 28000]
Click to expand...
Click to expand...
Click to expand...
 
If the value of Delta changes, the following formula does not work.
U=INT((25 + SQRT(5)*SQRT(125 + P))/50) [Delta = 1000 {Default}]
Could you please give me any suggestion on how to fix the above formula
without cancelling the 1000 for delta?
I look forward to your reply
Thank you very much
Eric

Dana DeLouis said:
Oops! Let me change that sequence slightly...

P = 1000 * (U- 1)*U/ 2
or...
P = 500*(U-1)*U

Therefore, try this equation instead given points 'P'

=INT((25 + SQRT(5)*SQRT(125 + P))/50)

--
HTH. :>)
Dana DeLouis
Windows XP, Office 2003

Points_______Units
0___________1
1000________2 [0+1*Delta = 1000]
3000________3 [1000+2*Delta = 3000]
6000________4 [3000+3*Delta = 6000]
10000_______5 [6000+4*Delta = 10000]
15000_______6 [10000+5*Delta = 15000]
21000_______7 [15000+6*Delta = 21000]
28000_______8 [21000+7*Delta = 28000]
Click to expand...
Click to expand...
Click to expand...
 
See if this will work for you:
'd is Delta, and 'P is your points.

=INT((1 + SQRT(d + 8*P)/ SQRT(d))/2)

The returned value should be your integer 'Units.'
--
HTH. :>)
Dana DeLouis
Windows XP, Office 2003


Eric said:
If the value of Delta changes, the following formula does not work.
U=INT((25 + SQRT(5)*SQRT(125 + P))/50) [Delta = 1000 {Default}]
Could you please give me any suggestion on how to fix the above formula
without cancelling the 1000 for delta?
I look forward to your reply
Thank you very much
Eric

Dana DeLouis said:
Oops! Let me change that sequence slightly...

P = 1000 * (U- 1)*U/ 2
or...
P = 500*(U-1)*U

Therefore, try this equation instead given points 'P'

=INT((25 + SQRT(5)*SQRT(125 + P))/50)

--
HTH. :>)
Dana DeLouis
Windows XP, Office 2003

Points_______Units
0___________1
1000________2 [0+1*Delta = 1000]
3000________3 [1000+2*Delta = 3000]
6000________4 [3000+3*Delta = 6000]
10000_______5 [6000+4*Delta = 10000]
15000_______6 [10000+5*Delta = 15000]
21000_______7 [15000+6*Delta = 21000]
28000_______8 [21000+7*Delta = 28000]
Click to expand...
Click to expand...
Click to expand...
 
=INT((1 + SQRT(d + 8*P)/ SQRT(d))/2)

If we assume that 'D (Delta) is greater than zero, then I guess we can
shorten that equation just a little:

=INT((1 + SQRT(1 + (8*P)/D))/2)

--
HTH. :>)
Dana DeLouis
Windows XP, Office 2003

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