4 radians is the same as
1 answer:
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Answer:
9 tubes of A and 4 tubes of B.
Step-by-step explanation:
Let the number of tubes of A and B that should be supplied be represented by letters, X and Y.
For protein,
X tubes contain 4X units of protein
Y tubes contain 3Y units of protein
4X + 3Y ≥ 48
For Carbohydrates,
X tubes contain 2X units of Carbohydrates
Y tubes contain 6Y units of Carbohydrates
2X + 6Y ≥ 42
For fats,
X tubes contain 2X units of fats
Y tubes contain 1Y units of fats
2X + Y ≥ 20
And X ≥ 0, Y ≥ 0
The objective functions put together
4X + 3Y ≥ 48
2X + 6Y ≥ 42
2X + Y ≥ 20
X ≥ 0
Y ≥ 0
So, plotting the graph to obtain optimum points.
The optimal points obtained from the graph include
(6, 8), (9,4), (0,20), (21, 0)
Putting all the optimal points into the first 3 equations
(6,8) gives 48, 50 and 20 units just like in the objective functions
(9,4) gives 48, 42 and 22
(0, 20) gives 60, 120, and 20
(21, 0) gives 84, 42, and 42.
It is evident that (9,4) is the most optimal solution.
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The mean for the first month is
The standard deviation for first month is
The sale on 15th of first month is
The mean for the second month is
The standard deviation for second month is
The sale on 15th of second month is
Generally the z-score is mathematically represented as
For the first month
For the second month