Example The following equations shows the effect of time (x) in year and salt concentration (y) in ppm on the total cost due to corrosion failure for a particular operation 12500 CT = 4x +- + 2.5 y+ 500 ху Determine the optimum value of x and y, and calculate the total cost. Solution 12500 = 0 x?y 12500 3125 4y and 12500 2.5- ду ху? 12500 5000 2.5 y2 Then (3125 2 y 5000 y=20 ppm And x= 0.625 year The total cost will be 20505 at the optimum point H.W Repeat the previous example if the total cost equation is Cr = x? + xy + 2y² + 200

Survey Of Economics
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Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Proudction Costs
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Example
The following equations shows the effect of time (x) in year and salt concentration
(y) in ppm on the total cost due to corrosion failure for a particular operation
12500
CT = 4x +
+ 2.5 y + 500
ху
Determine the optimum value of x and y, and calculate the total cost.
Solution
12500
= 0
x?y
12500
3125
x2 =
4y
and
ac,
= 2.5
ду
12500
= 0
xy2
12500
5000
2.5 y2
Then
5000
(3125
y?
у-20 рpm
And x= 0.625 year
The total cost will be 20505 at the optimum point
Н.W
Repeat the previous example if the total cost equation is
C, = x? + xy + 2y² + 200
Transcribed Image Text:Example The following equations shows the effect of time (x) in year and salt concentration (y) in ppm on the total cost due to corrosion failure for a particular operation 12500 CT = 4x + + 2.5 y + 500 ху Determine the optimum value of x and y, and calculate the total cost. Solution 12500 = 0 x?y 12500 3125 x2 = 4y and ac, = 2.5 ду 12500 = 0 xy2 12500 5000 2.5 y2 Then 5000 (3125 y? у-20 рpm And x= 0.625 year The total cost will be 20505 at the optimum point Н.W Repeat the previous example if the total cost equation is C, = x? + xy + 2y² + 200
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