Answer:
30 acres of A
0 acres of B
Step-by-step explanation:
On forming the equations we get
Acres = A+B 
30 .............(1)
Seed = 5A + 10B 200 ...........(2)
Profit = 160A+50B
Upon rearranging this we get
A= 30-B sing equation (1)
A=40-2B using equation (2)
On plotting these inequalities on the cartesian planes we will get the following points of intersection (0,20) (20,30) (30,0)
Now using these coordinates (A,B) to get Maximum profit
P= $1000 for (0,20)
P=$4700 for (20,30)
P= $4800 for (30,0)
clearly for (30,0) we will get the maximum profit on the crops
Answer:
x=13
Step-by-step explanation:
Answer:
9.75
Step-by-step explanation:
See the attached picture:
Answer:
Probability that component 4 works given that the system is functioning = 0.434 .
Step-by-step explanation:
We are given that a parallel system functions whenever at least one of its components works.
There are parallel system of 5 components and each component works independently with probability 0.4 .
Let <em>A = Probability of component 4 working properly, P(A) = 0.4 .</em>
<em>Also let S = Probability that system is functioning for whole 5 components, P(S)</em>
Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;
P(A/S) = {Means P(component 4 working and system also working)
divided by P(system is functioning)}
P(A/S) = {In numerator it is P(component 4 working) and in
denominator it is P(system working) = 1 - P(system is not working)}
Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 - 
.
Hence, P(A/S) = 
= 0.434.
