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4 years ago

What point in the feasible region maximizes P for the objective function P = 2x + 3y? Constraints

1 answer:

4 0

Suppose 2x + y = 15 -----eq 1 . x + 3y = 20 -----eq 2. Multiplying eq (1) by 1 and (2) by 2 and subtracting the result We have: 2x + y = 15 and 2x +6y =40.If we subtract, we have y - 6y = 15 - 40. So we have -5y = -25. y is 5. Substiting into eq (1), we have 2x + 5 = 15. 2x = 15-5 =10 Hence X =5.Hence option B is the correct option.

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Step-by-step explanation:

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3 years ago

Find the slope of the line passing through the two points. (2.1, 3.8), (3.1, 7.6)

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Answer:

3.8

Step-by-step explanation:

Slope formula- m = y2 - y1

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3 years ago

A person in a casino decides to play 3 games of blackjack. let w denote a win and l denote a loss. define the event a as "the pe

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Answer: The answer is {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.

Step-by-step explanation: Given that a person in the casino is going to play 3 games of blackjack. Here, 'w' denotes a win and 'l' denotes a loss.

Also, let 'A' be the event that the person wins at least one game of blackjack. Then, the outcomes of Event 'A' are

(i) win in 1st game loss in 2nd game loss in 3rd game

(ii) win in 1st game win in 2nd game loss in 3rd game

(iii) win in 1st game loss in 2nd game win in 3rd game

(iv) win in 1st game win in 2nd game win in 3rd game

(v) loss in 1st game loss in 2nd game win in 3rd game

(vi) loss in 1st game win in 2nd game loss in 3rd game

(vii) loss in 1st game win in 2nd game win in 3rd game

Thus, the outcomes of the event A are (w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l) and (l, w, w).

Thus, A = {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.

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3 years ago

1. Find the slope of the line that goes through the points (2, 5) and (6, 7)

ella [17]

Answer:

$\displaystyle m = \frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 5)

Point (6, 7)

Step 2: Find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{7-5}{6-2}$
[Fraction] Subtract: $\displaystyle m = \frac{2}{4}$
[Fraction] Simplify: $\displaystyle m = \frac{1}{2}$

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3 years ago

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3 years ago

Read 2 more answers