MAXI PRODUCT
Title: MAXI PRODUCT
Category: Literature / English
Details: Words: 1810 | Pages: 7.7 (approximately 235 words/page)
MAXI PRODUCT
The objective of this coursework is to find the formula that gives the maximum product of any given number when split into parts.
For the first part of the coursework I am going to investigate the splitting of a number into two parts, then three parts and four Parts. For each number of parts, This will result with a formula that gives the maximum product.
Pairs
Starting number 12,
PAIRS WHICH TOTAL 12 & PRODUCT OF THE PAIR
12,0 = 0 11,1 = 11 10,2 = 20 9,3 = 27 8,4 = 32 7,5 = 35 6,6 = 36 5,7 = 35 4,8 = 32 3,9 = 27 10 = 20 1,11 = 11 0,12 = 0
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…showed last 75 words of 1810 total…as it is the highest.
Starting number 14
QUADRUPLES WHICH TOTAL 14 & PRODUCT
14,0,0,0 =0 11,1,1,1 =11 10,1,1,2 =20 9,1,2,2 =36 8,2,2,2 =64 7,2,4,1 =56 6,6,1,1 =36 5,4,4,1 =80 4,4,4,2 =128 3,4,6,1 =72 2,3,3,6 =108
TEST FOR THE MAXI PRODUCT
3.75 x 3.25 x 3 x 4= 146.25 I am going to try a different combination 3.5 x 3.5 x 3.5 x 3.5=150.06 That is the maxi product.
STARTING NUMBERS QUADRUPLES THAT GIVE MAXI PRODUCT VALUE
12, 3x 3 x 3 x3 =81 16, 4 x 4 x 4 x 4 =256 14, 3.5 x 3.5 x 3.5 x 3.5 =150.06
M= n/4 x n/4 x n/4 x n/4 = (¨ù)4
M again represents the Maxi Product and n represents the Starting number.
The formula is (¨ù)3 .
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