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# Maximize the product (arithmetic level)

## Question

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

## Recommended Posts

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(.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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I believe Pickett has it

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Pickett has my vote

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