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Carpenter's pricing (Posted on 2018-02-05) Difficulty: 2 of 5
I've found out that our carpenters consider two parameters when asked to quote a customized table's price: the cost is composed of 2 parts. One part is proportional to the area and the other to the square of the larger length.

Then he adds 15% profit and 17% VAT, rounding up to the next integer value divisible by 50.
If the price of 1.2m by 1.8m is  ₪2000 and 1m*3.75m is  ₪5600 what is the price for 2.4m*2.6m dimensions?

Name the price, no discounts, no haggling!

Rem: ₪ stands for NIS, New Israeli Shekel (1$ about 3.5 ₪.)

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: 4 systems solution doubts | Comment 3 of 5 |
(In reply to 4 systems solution by Jer)

Since it is my puzzle and a priori  the offical solution might be one provided by the solver I do not want just post mine without referring to yours.  

You are wrong by calculating x and y  -  separately for 4 extreme shapes- the x and y are constant fixed  a priori by my carpenter out of his pactical considerations.
My answer is 5050 NIS -  looks reasonable,.
I  got the estimates of x and y assuming the prices before rounding were 1975 and 5575 for the tables quoted.
My result: x,y were    395.99 , 189.05 ;
final price before rounding  5039.
Clearly it is not carved in stone, but sounds as A logical estimate.

PLEASE COMMENT, and check my process.

Edited on February 13, 2018, 1:29 pm
  Posted by Ady TZIDON on 2018-02-11 04:52:34

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