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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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re(2): agreement-----------------CAN'T AGREE Comment 5 of 5 |
(In reply to re: agreement-----------------CAN'T AGREE by Ady TZIDON)

I have some time so I'll do both.

I think I used 2-digit precision before.  I'll use 4 digits here.  The parameter values change slightly but the final cost isn't affected.

((1.2)(1.8)x + (1.8)(1.8)y)*(1.15)*(1.17) = 2000
((1)(3.75)x + (3.75)(3.75)y)*(1.15)*(1.17) = 5600

2.16x + 3.24y = 2000/(1.15)(1.17)
3.75x + 14.0625y = 5600/(1.15)(1.17)

Multiply the first equation by 3.75 and the second by 2.16 and subtract the first from the second.

y*(2.16*14.0625 - 3.75*3.24) = (2.16*5600 - 3.75*2000)/(1.15*1.17)

18.225y = 3415.8305

y=187.4255, x=407.0267

Then the sought for price is 5122, rounded up to 5150.

  Posted by xdog on 2018-02-13 09:29:46
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