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attashe74 [19]
2 years ago
5

The following linear programming problem has been written to plan the production of two products. The company wants to maximize

its profits. LaTeX: X_1=X 1 = number of product 1 produced in each batch LaTeX: X_2=X 2 = number of product 2 produced in each batch MAX: LaTeX: 150\:X_1+250\:X_2150 X 1 + 250 X 2 Subject to: LaTeX: 2\:X_1+5\:X_2\le2002 X 1 + 5 X 2 ≤ 200 LaTeX: 3\:X_1+7\:X_2\le1753 X 1 + 7 X 2 ≤ 175 LaTeX: X_1,\:X_2\ge0X 1 , X 2 ≥ 0 How much profit is earned per each unit of product 2 produced?
Mathematics
1 answer:
KonstantinChe [14]2 years ago
6 0

Answer:

  250

Step-by-step explanation:

It appears your profit function is ...

  150x1 +250x2

This tells us the profit for each unit of product 2 is 250.

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51

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


3 0
3 years ago
Write an inequality to describe the region. The region between the yz-plane and the vertical plane x = 5
madreJ [45]

The inequality will be 0 < x < 5 .

Each line plotted on a coordinate graph divides the graph (or plane) into two half‐planes.  Before graphing a linear inequality, you must first find or use the equation of the line to make a boundary line.

The y z - plane is represented by the equation x = 0 .

As the region is between the y z - plane and the vertical plane x = 5 , we will get the inequality 0 < x < 5 .

Therefore , the inequality will be 0 < x < 5 .

To learn more on inequality follow link :

brainly.com/question/24372553

#SPJ4

3 0
1 year ago
What is the simplest from of this expression? (-3x^2 + 4x) + (2x^2 - x -11)
mr Goodwill [35]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
X + 1/4x = 15. What is the solution to the equation?
Sauron [17]

Answer:

Step-by-step explanation:

hello :

X + 1/4x = 15

multiply by 4 : 4x+x = 60

5x=60

now divid by 5 you have : x=12

7 0
3 years ago
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