The maximum value of the objective function is 26 and the minimum is -10
<h3>How to determine the maximum and the minimum values?</h3>
The objective function is given as:
z=−3x+5y
The constraints are
x+y≥−2
3x−y≤2
x−y≥−4
Start by plotting the constraints on a graph (see attachment)
From the attached graph, the vertices of the feasible region are
(3, 7), (0, -2), (-3, 1)
Substitute these values in the objective function
So, we have
z= −3 * 3 + 5 * 7 = 26
z= −3 * 0 + 5 * -2 = -10
z= −3 * -3 + 5 * 1 =14
Using the above values, we have:
The maximum value of the objective function is 26 and the minimum is -10
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Answer:
4 7/8
Step-by-step explanation:
3 1/4 / 2/3
convert mixed numbers to improper fractions: 3 1/4 / 2/3
13/4 / 2/3
apply the fraction rule: a/b / c/d = a/b * d/c
= 13/4 * 3/2
multiply fractions: a/b * c/d = (a * c)/(b * d)
= (13 * 3)/(4 * 2)
multiply the numbers: 13 * 3 = 39
= 39/(4 * 2)
multiply the numbers: 4 * 2 = 8
= 39/8
convert improper fractions to mixed numbers: 39/8 = 4 7/8
= 4 7/8
Answer:
Step-by-step explanation:
Answer: A B
Group 1 0.25 0.75
Group 2 0.44 0.56
Step-by-step explanation:
Since we have given that
Number of people of A in group 1 = 15
Number of people of B in group 1 = 45
Total number of people in group 1 is given by
Relative frequency of people of A in Group 1 is given by
Relative frequency of people of B in Group 1 is given by
Similarly, Number of people of A in group 2 = 20
Number of people of B in group 2 = 25
Total number of people in group 2 is given by
Relative frequency of people of A in Group 2 is given by
Relative frequency of people of B in Group 2 is given by
Hence, A B
Group 1 0.25 0.75
Group 2 0.44 0.56
Answer:
6.
Step-by-step explanation:
This is [p(2+h)) - p(2) ] / ((2 + h - 2)
= [ 6(2) + h) + 7 - (6(2) + 7)] / h
= ( 12 + 6h + 7 - 12 - 7) / h
= 6h / h
= 6.
