Ask question

Ask question

All categories

2 years ago

7

Linear programming: You're making fruit baskets. Each day you have 240 oranges, 270 bananas, and 320 apples. Arrangement A earns

a profit of $10 per basket and arrangement B earns a profit of $8 per basket. How many of each basket should you make per day to maximize your profit?
Arrangement A: 4 oranges, 6 bananas, and 8 apples.
Arrangement B: 6 oranges, 6 bananas, and 6 apples.

1 answer:

8_murik_8 [283]2 years ago

5 0

Answer:

知りません

Step-by-step explanation:

You might be interested in

This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

h(x,y,z)=4 x² + 4 y² + 4 z² - 36

From Lagrange multipliers

Δf = λ Δh

Δf = < 8 ,8 , 4>

Δh = < 8 x ,8 y , 8 z>

Δf = λ Δh

So

< 8 ,8 , 4> = < 8 λ x ,8 λ y , 8 λ z>

8 = 8 λ x -------------1

8 = 8 λ y ---- ------2

4 = 8 λ z ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

4 x² + 4 y² + 4 z² = 36

$4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{\lambda^2 }+4\times \dfrac{1}{(2\lambda)^2 }=36$

$\dfrac{4}{\lambda^2 }+ \dfrac{4}{\lambda^2 }+ \dfrac{1}{\lambda^2 }=36$

So the value of λ is

$\lambda =\pm \dfrac{1}{2}$

When λ = 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= 2 , y = 2 , z=1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ , y=1 / λ , z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(-2, -2, -1) = 8 x (-2) + 8 x (-2) + 4 x (-1)

f(-2, -2, -1) = - 36

The maximum value= 36

Minimum value = - 36

7 0

2 years ago

Read 2 more answers

Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correc

DerKrebs [107]

we are given

differential equation as

$y'''-9y''+20y'=0$

we are given

$y=e^{rx}$

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

$y'=re^{rx}$

Second derivative is

$y''=r*re^{rx}$

$y''=r^2e^{rx}$

Third derivative is

$y'''=r^2*re^{rx}$

$y'''=r^3e^{rx}$

now, we can plug these values into differential equation

and we get

$r^3 e^{rx}-9r^2 e^{rx}+20re^{rx}=0$

now, we can factor out common terms

$e^{rx}(r^3 -9r^2 +20r)=0$

we can move that term on right side

$(r^3 -9r^2 +20r)=0$

now, we can factor out

$r(r^2 -9r +20)=0$

$r(r-5)(r-4)=0$

now, we can set them equal

$r=0$

$r-5=0$

$r=5$

$r-4=0$

$r=4$

so, we will get

$r=0,4,5$ ...............Answer

4 0

2 years ago

Find the area<br> cant solve

Alex73 [517]

Answer:

36in²

Step-by-step explanation:

<h3>Area of the White Region: </h3>

A = l * w

The rectangle is 3 by 2.

A = 3 * 2

A = 6

The white part of the rectangle is 6in².

<h3>Area of the blue region:</h3>

A = l * w

The rectangle is 6 by 7.

A = 6*7

A = 42

The blue part of the rectangle is 42in².

<h3>Area of the shaded region:</h3>

[area of the blue part] - [area of the white part]

42 - 6 = 36

The area of the shaded region should be 36in².

8 0

2 years ago

72 is what percent of80

snow_lady [41]

72/80=0.9

0.9*100=9

9%

7 0

2 years ago

Read 2 more answers

What is the answer please I need help if you send a link I will report because your just trying to scam someone

madam [21]

Answer:

The median is 6.

Step-by-step explanation:

8 0

2 years ago