is conservative if we can find a scalar function 
such that 
. This is equivalent to solving the system of PDEs,
Integrate both sides of the first PDF with respect to 
:
where 
is some function independent of . Then differentiatng with respect to 
, we have
and so is indeed conservative, with
Answer:
Kilogram of chicken = 1
Kilogram of tilapia = 3
Step-by-step explanation:
Cost of chicken = 150 per kilo
Cost of tilapia = 100 per kilo
Number of kilos of each if total cost should not exceed 450
Let :
Number of kilo of chicken = x
Number of tilapia kilo = y
The constraint :
150x + 100y ≤ 450
We could choose some reasonable values of x and y then, test the constraint ;
If x = 1 and y = 3
150(1) + 100(3) = 450
Hence,
1 kilo of chicken with 3 kilos of tilapia offers the greatest combination of Number of kilograms of tilapia and chicken that could be purchased and still satisfy the maximum cost constraint.
2 - 3 (2x - 5) = 6x + 1
2 -6x +15 = 6x +1 distribute the -3 to (2x -5)
-6x + 17 = 6x + 1 add 2 + 15
16 = 12x add the -6x to the positive 6x and subtract the 1 from 17
1 1/3 = x divide 16/12
