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3 years ago

Find the minimum value of P=5x+6y subject to the following constraints. Please help me!!

Mathematics

1 answer:

Rashid [163]3 years ago

5 0

Answer:

The maximum value of P is 34 and the minimum value of P is 0

Step-by-step explanation:

we have the following constraints

$x+y \leq 6$ ----> constraint A

$2x+3y \leq 16$ ----> constraint B

$x\geq 0$ ----> constraint C

$y\geq 0$ ----> constraint D

Solve the feasible region by graphing

Using a graphing tool

The vertices of the feasible region are

(0,0),(0,5.33),(2,4),(6,0)

see the attached figure

To find out the maximum and minimum value of the objective function P, substitute the value of x and the value of y for each of the vertices in the objective function P, and then compare the results

we have

$P=5x+6y$

For (0,0) ----> $P=5(0)+6(0)=0$

For (0,5.33) ----> $P=5(0)+6(5.33)=31.98$

For (2,4) ----> $P=5(2)+6(4)=34$

For (6,0) ----> $P=5(6)+6(0)=30$

therefore

The maximum value of P is 34 and the minimum value of P is 0

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What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.

Zanzabum

Hi there!

The general formula of A line in slope-intercept form is the following:
$y = mx + n$

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
$y = \frac{2}{5} x + n$

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

$- 1 = \frac{2}{5} \times - 3 + n$

Multiply first.
$- 1 = - 1\frac{1}{5} + n$

And finally add 1 1/5 to both sides of the equation.
$\frac{1}{5} = n$

We can now switch sides.
$n = \frac{1}{5}$

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
$y = \frac{2}{5} x + \frac{1}{5}$

7 0

3 years ago

Rearrange the formula C = 5/9 (F − 32) for F.

shtirl [24]

The answer is (9c/5)+32=F

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3 years ago

Read 2 more answers

What is a geometric sequence and arithmetic sequence?<br><br> ~MUST EXPLAIN~

Vadim26 [7]

A geometric sequence is one that involves addition or subtraction. One example would be "In an auditorium, the 1st row has 25 seats. The 2nd has 30. The 3rd has 35. How many does the 4th have? Take the formula, x + 5. All you do is simply add 5.

An arithmetic sequence is one that involves multiplication or division. For example, "Jon receives 5 dollars each week. If he waits for 5 months, how much money will he have? Honestly, all you have to do is think about the formula. x * 5. x would be the number of weeks.

I know my answer is not as good as the verified one, but it is simpler and easier to understand. I apologize if it isn't good enough.

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2 years ago

Roblem #7

gtnhenbr [62]

Answer:

no solution.

Step-by-step explanation:

1) in order to explain, the given system should be resolved:
$\left \{ {{2y=6x+4} \atop {y=3x-4}} \right. \ < = > \ \left \{ {{y=3x+2} \atop {y=3x-4}} \right.$

2) the both equations have the same slope (it is 3), it means the given lines are parallel, then no solution.

3 0

2 years ago

I need help asap plz

IgorC [24]

Answer:light blue

Step-by-step explanation:

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2 years ago