Answer:
8.5
Step-by-step explanation:
Bayes factor is the ratio of the likelihood of one particular hypothesis against the likelihood of the another hypothesis. Bayes factor can be interpreted as a measure of strength of evidence in favor of one theory among two competing theories.
Bayes Factor is defined as below:

H1 = alternative hypothesis
H0 = null hypothesis
Bayes Factor = 0.85/0.1 = 8.5
If we let x as candy A
y as candy B
a as dark chocolate in candy a
b as dark chocolate in candy b
c as caramel
d as walnut
P as profit
we have the equations:
a + c = x
2b + d = y
a + 2b ≤ 360
c ≤ 430
d ≤ 210
P = 285x + 260y
This is an optimization problem which involves linear programming. It can be solved by graphical method or by algebraic solution.
P = 285(a + c) + 260(2b +d)
If we assume a = b
Then a = 120, 2b = 240
P = 285(120 + 120) + 260(240 + 120)
P = 162000
candy A should be = 240
candy B should be = 360
3x - 2y + 2 = 0 → -2y + 2 = -3x → -2y = -3x - 2 → y =
x + 1
x - y + 3 = 0 → -y + 3 = -
x → -y = -
x - 3 → y =
x + 3
These two equations have the same slope but different y-intercepts so they are parallel lines. (aka inconsistent).
Answer: Inconsistent, (0, 1), (0, 3)