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 into four and five parts. For each number of parts, I am going to come up with a formula that gives the maximum product. Starting number 12PAIR WHICH TOTAL 12PRODUCT OF THE PAIR12, 0011,11110,2209,3278,4327,5356,6365,7354,8323,9272,10201,11110,120TEST FOR THE MAXI PRODUCTI will assume my maxi product is in the range between 7,5 and 5,7 because this where the arch is at it’s highest. So,6.9 5.1=35.19 5.9 6.1=35.99Neither of these are higher than 36. So for my starting number 12, I have used the pairs 6 and 6 and my maxi product is 36.Starting number 10PAIR WHICH TOTAL 10PRODUCT OF THE PAIR10,009,198,2167,3216,4245,5254,6243,7212,8161,990,100TEST FOR THE MAXI PRODUCTAgain, I am looking in the range between 6,4 and 4,6.6 4=244.5 5.5=24.755 5=25Neither of the products are higher than 25. For my starting number 10, I have used the pair 5,5 and my maxi product is 25.Starting number 14PAIR WHICH TOTAL 14PRODUCT OF THE PAIR14,0013,11312,22411,33310,4409,5458,6487,7496,8485,9454,10403,11332,12241,13130,140TEST FOR THE MAXI PRODUCTBetween 8,6 and 6,8 as this is where the number is highest.7 7=497.9 6.1=48.196.9 7.1=48.99 For my starting number 14, I have used 7,7 and my maxi product is 49.Starting number 16PAIR WHICH TOTAL 16PRODUCT OF THE PAIR16,0015,11514,22813,33912,44811,55510,6609,7638,8647,9636,10605,11554,12483,13392,14281,15150,160TEST FOR THE MAXI PRODUCTBetween 9,7 and 7,9 as this is where the number seems highest.7.9 8.1=63.198 8=648.9 7.1=63.99For my starting number 16, I have used the pair 8,8 and my maxi product is 64.Starting number 9PAIR WHICH TOTAL 9PRODUCT OF THE PAIR9,008,187,2146,3185,4204,5203,6182,7141,880,90TEST FOR THE MAXI PRODUCTThe maxi product li...
