Answer:
P = 9 is the max value
Step-by-step explanation:
Sketch
2x + 4y = 10
with x- intercept = (5, 0) and y- intercept (0, 2.5)
x + 9y = 12
with x- intercept = (12, 0) and y- intercept = (0,
)
Solve
2x + 4y = 10 and x + 9y = 12 to find the point of intersection at (3, 1)
The region corresponding to the solution of the system of constraints
Has vertices at (0,
), (0, 0) , (5, 0) and (3, 1)
Now evaluate the objective function at each vertex.
(0, 0) can be excluded as it will not give a maximum
(5, 0) → P = 5 + 0 = 5
(0,
) → 0 + 8 = 8
(3, 1) → 3 + 6(1) = 3 + 6 = 9 ← maximum value
Thus the maximum value is 9 when x = 3 and y = 1
Answer:
Vertical angles are congruent.
Step-by-step explanation:
Vertical angles are opposite angles formed by intersecting lines, and are always congruent.
Answer: 22+23+24+25
A for edg
Step-by-step explanation:
Just took the quiz
Answer:
21
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define expression</u>
3 × 3 + 3 + 3 × 3
<u>Step 2: Evaluate</u>
- Multiply: 9 + 3 + 3 × 3
- Multiply: 9 + 3 + 9
- Add: 12 + 9
- Add: 21