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Maximize the product (arithmetic level)

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Posted (edited) · Report post

You will use exactly twelve of the numbers 0.7 and exactly four of the numbers 0.6.

Or, you can just type ".7" and ".6," respectively, if you wish.

Concatenation of the sevens and sixes (mixed or matched) is not allowed).

No other numbers are to be used.

You can use unlimited plus signs. An unlimited number of

parentheses can be used for both grouping and for

multiplication. No other symbols or operations may be used.

Put these together to form an expression that gives the maximum

value.

Here are two examples of the forms:

Example 1)

(0.7 + 0.7 + 0.7 + 0.7 + 0.7 + 0.7)(0.7 + 0.7 + 0.7 + 0.7 + 0.7 + 0.7)(0.6 + 0.6 + 0.6 + 0.6) =

(4.2)(4.2)(2.4) =

42.336

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Example 2)

(.7 + .7)(.7 + .7)(.7 + .7)(.7 + .7)(.7 + .7)(.7 + .7)(.6 + .6)(.6 + .6) =

[(1.4)^6](1.2)(1.2) =

10.843 (approximately)

(Let me know if I made any errors, please.)

Edited by Perhaps check it again
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3 answers to this question

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Posted (edited) · Report post

(.7+.7+.7+.6)(.7+.7+.7+.6)(.7+.7+.7+.6)(.7+.7+.7+.6) = 53.1441

Edited by Pickett
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Posted · Report post

I believe Pickett has it

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Posted · Report post

Pickett has my vote

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