What point in the feasibility region maximizes the objective function?Objective Function: C = 5x - 4y
Answers
In general, you solve a problem like this by identifying the vertices of the feasible region. Graphing is often a good way to do it, or you can solve the equations pairwise to identify the x- and y-values that are at the limits of the region.
In the attached graph, the solution spaces of the last two constraints are shown in red and blue, and their overlap is shown in purple. Hence the vertices of the feasible region are the vertices of the purple area: (0, 0), (0, 1), (1.5, 1.5), and (3, 0).
The signs of the variables in the contraint function (+ for x, - for y) tell you that to maximize C, you want to make y as small as possible, while making x as large as possible at the same time. The solution space vertex that does that is (3, 0).
To solve a problem like this, we can identify the vertices of the feasible region.
The vertex that satisfies this is (3, 0). Therefore, the maximum value of C is 3.
What is the Feasible Region?
The feasible region is the area where all the constraints are satisfied. In this case, the feasible region is the purple area in the graph. The vertices of the feasible region are (0, 0), (0, 1), (1.5, 1.5), and (3, 0).
To maximize C, we want to make y as small as possible and x as large as possible. The vertex that satisfies this is (3, 0). Therefore, the maximum value of C is 3.
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Andy is scuba diving.He starts at sea level and then descends 10 feet in 2 1/2 minutes. a. how would you represent Andy's descend as a unit rate? Express your answer as an integer. b. How much feet can he descend in 6 minutes?
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Answers
f(x) = -2(x - 3)(x - 3) + 2
f(x) = -2[x(x - 3) - 3(x - 3)] + 2
f(x) = -2[x(x) - x(3) - 3(x) - 3(-3)] + 2
f(x) = -2(x² - 3x - 3x + 9) + 2
f(x) = -2(x² - 6x + 9) + 2
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f(x) = -2x² + 12x - 18 + 2
f(x) = -2x² + 12x - 16
Answers
Answer :
You can use commutative property or can not be .It is not necessary to use it for given addition of integers.
Step-by-step explanation:
We are given that an expression
By simplfy simply without using commutative property
Because minus minus is plus then all integers will be added.
Simplfy by using commutative property
(Commutative property a+b=b+a)
The answer should not change .Hence, if you want use commutative property to change the order of the integers then answer does not effected.So, you can use it or can not be .
Answers
Answers
hope it helped!
hit the brainiest button pleaseee!
Answers
Hey there!
4^3 * 5^3 = ?
4^3
= 4 * 4 * 4
= 16 * 4
= [64]
5^3
= 5 * 5 * 5
= 25 * 5
= [125]
125 * 64
= [8,000]
20^3
= 20 * 20 * 20
= 400 * 20
= 8,000
8,000 = [8,000]
Therefore, this statement is TRUE so your answer is: [YES]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
Yes
Step-by-step explanation:
4³ × 5³
(4 × 5)³
=20³
Both are equivalent
Answers
Answer:
f(4) = (4)² + 5(4) = 36.
g(9) = [3(9) - 4]/2 = 23/2.
f(-3) = (-3)² + 5(-3) = -6.
g(-6) = [3(-6) - 4]/2 = -11.
Set f(x) = 14.
=> x² + 5x = 14
=> x² + 5x - 14 = 0
=> (x + 7)(x - 2) = 0
=> x = -7 or x = 2.
Set g(x) = -28.
=> (3x - 4)/2 = -28
=> 3x - 4 = -56
=> 3x = -52
=> x = -52/3.
Answer:
36
11.5
6
-11
-2, 7
-17.333 / - 17⅓
Step-by-step explanation:
f(4) = 4² + 5(4) = 16+20 = 36
g(9) = 3(9)-4 ÷ 2 = 23÷2 = 11.5
f(-3) = (-3)²+5(-3) = 9 - 15 = 6
g(-6) = 3(-6)-4 ÷ 2 = - 22 ÷ 2 = - 11
f(x) = 14
x² - 5x = 14
x² - 5x - 14 = 0
(x+2) (x-7) = 0
x = - 2 or x = 7
g(x) = -28
3x - 4 = - 56
3x = - 52
x = - 52/3 = - 17 ⅓