Answer:
1st - c
2nd - d
Step-by-step explanation:
jere is your answer
Y is increased by 6 because if you imagine x being 3 then y would = 16 but if you increase x by 3 making 6 then y would = 22 and 16 increased by 6 is 22
Answer:
The following are the answer to this question:
Step-by-step explanation:
In the given question the numeric value is missing which is defined in the attached file please fine it.
Calculating the probability of the distribution for x:

The formula for calculating the mean value:




use formula for calculating the Variance:
![\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7B%5Ctext%7BVariance%7D%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%7D)

calculating the value of standard deivation:
Standard Deivation (SD) =

Answer:
a) Objective function (minimize cost):

Restrictions
Proteins per pound: 
Vitamins per pound: 
Non-negative values: 
b) Attached
c) The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.
d) The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.
Step-by-step explanation:
a) The LP formulation for this problem is:
Objective function (minimize cost):

Restrictions
Proteins per pound: 
Vitamins per pound: 
Non-negative values: 
b) The feasible region is attached.
c) We have 3 corner points. In one of them lies the optimal solution.
Corner A=0 B=0.75

Corner A=0.5 B=0.5

Corner A=0.75 B=0

The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.
d) If the company requires only 5 units of vitamins per pound rather than 6, one of the restrictions change.
The feasible region changes two of its three corners:
Corner A=0 B=0.625

Corner A=0.583 B=0.333

Corner A=0.75 B=0

The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.
D. Size and shape. Congruent essentially means that they’re the same in all ways.