Answer:
z - 2*x - 1.5*y = 0 maximize
subject to:
3*x + 5*y ≤ 800
8*x + 3*y ≤ 1200
x, y > 0
Step-by-step explanation:
Formulation:
Kane Manufacturing produce x units of model A (fireplace grates)
and y units of model B
quantity Iron cast lbs labor (min) Profit $
Model A x 3 8 2
Model B y 5 3 1.50
We have 800 lbs of iron cast and 1200 min of labor available
We need to find out how many units x and units y per day to maximiza profit
First constraint Iron cast lbs 800 lbs
3*x + 5*y ≤ 800 3*x + 5*y + s₁ = 800
Second constraint labor 1200 min available
8*x + 3*y ≤ 1200 8*x + 3*y + s₂ = 1200
Objective function
z = 2*x + 1.5*y to maximize z - 2*x - 1.5*y = 0
x > 0 y > 0
The first table is ( to apply simplex method )
z x y s₁ s₂ Cte
1 -2 -1.5 0 0 0
0 3 5 1 0 800
0 8 3 0 1 1200
Answer:
Step-by-step explanation:
Given that a study was conducted to find out if a new exercise program was more effective than an old one at improving cardiovascular fitness.
Subjects were randomly selected to participate and then randomly assigned to one of the two programs. After six months of exercising, they were given a score based on their fitness performance. Scores ranged from 19 to 73, with higher scores indicating higher performance.
Here there are two groups one for each program. After recording the scores groupwise, mean, std deviation of each group to be calculated.
Then independent sample test (option B) to be done.
Paired data set is not right because same person cannot be in two programs.
Here proportion is not recorded so D is wrong. Since variance is not checked anova is not right. Independence is not checked so E is wrong. Regression is wrong because there is no estimate for regression line here
B) is right.
Answer:
16-11-13-5-10 => P-K-M-E-J
2-15-18 => B-O-R
13-23 = > M-W
8-11-17 => H-K-Q
11-12 => K-L
22-11-12-19 => V-K-L-S
Step-by-step explanation:
Given
See attachment for code key
Required
Decode
16-11-13-5-10
2-15-18
13-23
8-11-17
11-12
22-11-12-19
From the code key, we can see that each number represent the alphabet at that position;
To do this, we simply replace each number with the alphabet they represent.
So, we have:
16-11-13-5-10 => P-K-M-E-J
2-15-18 => B-O-R
13-23 = > M-W
8-11-17 => H-K-Q
11-12 => K-L
22-11-12-19 => V-K-L-S
It is 2.226 X 10(Exponent is 11)
Answer:
Step-by-step explanation:
Set up hypotheses as
(Left tailed test at 5% level)
Sample mean = 53.4
Sample std dev s = 4.4
Sample std error = 4.4/sqrt 50 = 0.6222
Mean diff = 3.4
Test statistic = Mean diff/std error = 0.5464
(t test only can be used as population sigma is not known)
df = 50-1 =49
p value = 0.2939
Since p>0.05 we accept null hypothesis
Specification has not been met.
