Exercise 1 Usage of free production capacity
A factory has ended a non-profitable production line. As a result, there is a reasonable amount
of free production capacity available. The management team considers to use this capacity for
manufacturing one or more of the products A, B and C. Before a product can be sold it has to be
treated by 3 machines. The table below shows the available capacity per machine and the amount
of hours required to manufacture a product:
Machine type Available capacity Product A Product B Product C
(hours per week)
Machine 1
500
9
3
5
Machine 2
350
5
4
0
Machine 3
150
3
0
2
It is expected that each unit of product A and B that is manufactured can be sold, while the
number of sales of product C is at most 20 units per week. The profit per unit is 50, 20 and 25 Euro
for product A, B and C, respectively. The manufacturing team wants to maximize total profit.
Formulate this problem as a linear programming problem and explain which decision variables are
used.

Exercise 1 Usage Of Free Production CapacityA Factory Has Ended A Non-profitable Production Line. As

Answers

Answer 1

Answer:

Step-by-step explanation:


Related Questions

The ages of MBA students at a university are normally distributed with a known population variance of 10.24. Suppose you are asked to construct a 95% confidence interval for the population mean age if the mean of a sample of 36 students is 26.5 years. If a 99% confidence interval is constructed instead of a 95% confidence interval for the population mean, then _______________________________________________.

Answers

Answer:

too difficult 99%(95%) fraction and decimal of 26.5 and (-36)

Find the area of the composite figure. Round to the nearest tenth.

A.92.5 sq m
B. 200.5 sq m
C. 257.1 sq m
D. 596.4 sq m

Answers

Answer:

Surface area of figure = 200.52 meter²

Step-by-step explanation:

Given:

Side of square cut = 12 meter

Diameter of semi circle = 12 meter

Find:

Surface area of figure

Computation:

Diameter of semi circle = 12 meter

Radius of semi circle = Diameter of semi circle / 2

Radius of semi circle = 12 / 2

Radius of semi circle = 6 meter

Surface area of figure = Surface area of square + Surface of cylinder

Surface area of figure = [Side x Side] + πr²/2

Surface area of figure = [12 x 12] + (3.14)(6)²/2

Surface area of figure = [144] + (3.14)(36)/2

Surface area of figure = 144 + 56.52

Surface area of figure = 200.52 meter²

The are of the triangle below is 9/20 square centimeters. What’s is the length of the base? Express your answer as a fraction in simplest form.

Answers

Answer:

6/5

Step-by-step explanation:

For this you need to clear the formula for the area which is bxh/2=A, now you need to clear the base and the formula would be b=Ax2/h, and would be (9/20)x2/ 3/4 equal to 18/20 / 3/4 and gives the result of 72/60,now you need to simplify and the simplest form is 6/5

The base of the triangle with area of 9 / 20 centimetres squared and height of 3 / 4 centimetres is 6 / 5 centimetres.

Area of a triangle

area of a triangle = 1 / 2 bh

where

b = baseh = height

Therefore,

area = 9 / 20 cm²

height = h = 3 / 4 cm

b = ?

Hence.

area of the triangle = 1 / 2 bh

9 / 20 = 1 / 2 × 3 / 4 × b

9 / 20 = 3 / 8 b

cross multiply

9 × 8 = 20 × 3b

72 = 60b

b = 72 / 60

b = 12 / 10 = 6 / 5

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50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


M

Answers

Answer:

72 miles

Step-by-step explanation:

To solve this problem, you can use the pythagorean theorem, which is a^2 + b^2 = c^2. We already have b equal to 54 miles, and since c is the hypotenuse, it equals 90 miles. We can substitute the values into the formula to get:

a^2 + 54^2 = 90^2

a^2 + 2916 = 8100

a^2 = 5184

a = 72 miles

Your gross income is
$1945.63 of which you
get to keep 86% after
taxes.

Answers

Answer: You get to keep 1,673.24

You pay 272.38 in taxes.


Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know

Answers

Answer:

Grapes are less expensive

Step-by-step explanation:

First, find how much money 1 pound of each fruit is:

Bananas: $1.47 / 3 = $0.49

Grapes: $1.18 / 2 = $0.59

Compare:

0.49 < 0.59

So grapes are less expensive

1. At an elementary school, it's picture day. Two picture packages are available. Package 1
contains one class picture and ten wallet-size pictures for a cost of $19. Package 2 contains two
class pictures and fifteen wallet-size pictures. The cost of Package 2 is $31. Find the cost of an
individual class picture and the cost of an individual wallet-size picture.

Answers

9514 1404 393Answer:

class picture: $5wallet-size: $1.40

Step-by-step explanation:

Let c and w represent the per-picture cost of the class picture and a wallet-size picture, respectively. The two packages can be described by ...

  c +10w = 19

  2c +15w = 31

Subtracting the second equation from twice the first, we get ...

  2(c +10w) -(2c +15w) = 2(19) -31

  5w = 7

  w = 1.40

Substituting into the first equation, we can find the cost of a class picture.

  c + 10(1.40) = 19

  c = 5 . . . . . . . . . . . subtract 14

A class picture costs $5; a wallet-size picture costs $1.40.

all the points i have left
k12 7th grade math answer them both thx

Answers

Answer:

Use geogebra it is a helpful website that helps you plot points, and find where things go. The second one is c. y=25x.

Step-by-step explanation:

The sides of a rectangle are in the ratio 2:5. If the longer side of the rectangle is 25.5
in., what are its width, perimeter, and area?

Answers

Answer: The width of the rectangle is 10.2 inches, the perimeter is 71.4 inches,  the area is 260.1 inches.

Step-by-step explanation:

25.5/5=5.1

5.1*2=10.2

The width is 10.2 inches

25.5*2+10.2*2=71.4

The perimeter is 71.4 inches

20.5*10.2=260.1

The area is 260.1

1) The width of the rectangle is 10.2 in.

2) The perimeter of the rectangle is 71.4 in.

3) The area of the rectangle is 260.1 sq.in.

What is perimeter of rectangle?

[tex]P=2\times(l+w)[/tex]

where, 'l' is the length of the rectangle

'w' is the width of the rectangle

What is the area of the rectangle?

[tex]A=l\times w[/tex]

For given example,

The sides of a rectangle are in the ratio 2:5

The longer side of the rectangle is 25.5 in.

This means the length of the rectangle is [tex]l=25.5~in.[/tex]

Let 'x' represents the width of the rectangle.

⇒ [tex]\frac{2}{5} =\frac{x}{25.5}[/tex]

⇒ 2 × 25.5 = 5 × 'x'

⇒ 51 = 5x

⇒ x = 51/5

⇒ x = 10.2 in.

This means the width of the rectangle is 10.2 in.

[tex]l=25.5~in,~w=10.2~in.[/tex]

Using the formula of perimeter of the rectangle,

⇒ P = 2 × (25.5 + 10.2)

⇒ P = 2 × 35.7

P = 71.4 in.

Using the formula of area of the rectangle,

⇒ A = 10.2 × 25.5

A = 260.1 sq. in.

Therefore, the width of the rectangle is 10.2 in.

The perimeter of the rectangle is 71.4 in.

The area of the rectangle is 260.1 sq.in.

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A square with a side length of 30 cm is divided into 4 triangles which expression CANNOT be used to find the area of one of the four small triangles
A. 302 divided by 4
B. 1/2(30 x 15)
C. (30 x 30) divided by 2
D. 450/2

Answers

Answer: A

Step-by-step explanation:

The first step in solving a problem is to write a let statement

Answers

Answer:

whats this? can you provide more context?

Step-by-step explanation:

i’m confused? no picture.

Simplify this please.

Answers

Answer:

The answer is in the picture I couldn't type it sorry.

Step-by-step explanation:

2
Find the lateral area and surface area of the solid. Keep answer in exact form.
7 ft
7 ft
Lateral Area =
Surface Area =

Answers

Answer:

lateral area = 308 ft

surface area = 616 ft

hey these are my grades and this weekend is the end of the school year I just need advice on getting my grades up​

Answers

Answer:

Ask you teachers if they can give you extra assignments for extra credit! Sometimes they will!

1 rod equals how many yards

Answers

Answer:

5.5

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

multiply the length value by 5.5

how many ways can 12 swimmers make it in first, second and third place

Answers

Answer:1320

Step-by-step explanation:Only one person can win first, second and third place. The total number of placers is 12 times 11 times 10.

Answer:

Usig their skills by:

Step-by-step explanation:

Using their strengh, force, move your feet, and arms with strong force to push you ahead faster and faster, if u are really tired I would keep going,

A survey asks students who walk or ride a bike to school whether they live more than one
mile from school. The results are shown in the table. Based on the results, which conclusion is
best?
Way to Get
to School
Walk
Bike
Total
Live More Than 1 Mile from School
Yes
No
Total
10
31
41
32
27
59
42
58
100
of the students who ride a bike, about 27% live
more than one mile away.
of the students who ride a bike, about 76% live
more than one mile away.
of the students who live more than one mile
away, about 32% ride a bike.
of the students who live more than one mile
away, about 76% ride a bike.

Answers

Answer:

of the students who live more than one mile

away, about 76% ride a bike.

Step-by-step explanation:

comments favorite math problem​

Answers

You want math problems???

Answer:

Hᴇʏᴀᴀᴀ!! ᴍʏ ɴᴀᴍᴇ ɪꜱ ᴘɪɴᴋʏ ᴀɴᴅ ɪ ᴀᴍ ʜᴇʀᴇ ᴛᴏ ᴀɴꜱᴡᴇʀ ʏᴏᴜʀ Qᴜᴇꜱᴛɪᴏɴ!!ʕ ꈍᴥꈍʔ☆

Step-by-step explanation:

ɪ ᴅᴏɴ'ᴛ ʀᴇᴀʟʟʏ ʟɪᴋᴇ ᴍᴀᴛʜ ʙᴜᴛ ɪꜰ ɪ ʜᴀᴅ ᴛᴏ ᴄʜᴏᴏꜱᴇ ᴀ ꜰᴀᴠᴏʀɪᴛᴇ ɪᴛ ᴡᴏᴜʟᴅ ʙᴇ ᴀʟɢᴇʙʀᴀ!!  (◕ᴗ◕✿)

  ʜᴀᴠᴇ ᴀɴ ᴀᴍᴀᴢɪɴɢ ɴɪɢʜᴛ ᴏʀ ᴅᴀʏ!

      *:・゚✧*:・゚ꜰʀᴏᴍ ʏᴏᴜʀ ᴏɴᴇ ᴀɴᴅ ᴏɴʟʏ ᴘɪɴᴋʏ  ʕ ゚ ● ゚ʔ✧✧・゚: *✧・゚:* *:・゚✧*:・゚

A parabola y=x^2 is what type of function?

an even function
an odd function
an asymmetric function
a one to one function

Answers

Step-by-step explanation:

The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.

What is the value of p(24)?

Answers

Answer:

24p

Step-by-step explanation:

I'm pretty sure that this is the answer because the question was "What is the value P(24)?" which means you have to use the commutative property to reorder the terms.

Hope this helped!

What two numbers multiply into (-24) and adds up to (-11)?

Answers

Answer:

-3 and -8

Step-by-step explanation:

Let the two numbers be called a and b respectively. We can say that ab=-24, and a+b=-11.

If a+b=-11, a=-11-b.

ab=-24

(-11-b)b=-24

b²+11b+24=0

(b+3)(b+8)=0

b=-3, b=-8

a=-11-b=-11+3=-8

a=-11-b=-11+8=-3

So the numbers are -3 and -8

The buu in knees are -3 and -8

A person invests $4000: part of the investment is at 10% interest and the rest at 12% interest. If she received $460 at the end of the year in interest, how much was invested at each rate?(whole number in dollars)

Answers

Let x be the amount invested at 10%;

SO we have;

.10x=amount invested at 10%

(4000-x).12=amount invested at 12%

So our equation would be;

.10x+(4000-x).12=460

Distribute the 12%;

.10x+480-.12x=460

Put like terms together so you can see them better;

.10x-.12x+480=460

-.02x+480=460;

subtract 480 from both sides;

-.02x=-20

Multiply each side by -.02;

x=1000

Now that we know what was invested at 10% we can subtract that from $4000 to get what was invested at 12%;

$4000-$1000=$3000

Hope you understand

=)

Joey opened a bank account 5 years ago with $100.
Today he has $1,000 in the account.
What is the percentage of increase?
_____%

Answers

$200 a year, for the last 5 years, equal $1,000. That is a 20% increase.

The diagram shows a sphere with center O and a radius of 4 Inches that has been cut by a plane. The cross-section
formed by the plane is shaded.
Which shape is a possible representation of the cross section?

Answers

Answer:

A circle.

Step-by-step explanation:

Ok, any plane has a vector normal to it.

Then the plane that cuts the sphere, has a normal vector.

If we draw that normal vector such that it passes through the center of the circle, we can think of this as the "axis" of a cylinder.

Such that when we step on any point of that vector, all the points of the spere that can be reached with a perpendicular line to the vector (like the radius in polar coordinates) are at the same distance of the vector.

Then we can conclude that when we cut a sphere with a plane, the cross-section will be always a circle.

Then the shape that is a representation of the cross-section is a circle.

If event A is certain to occur, what is P(A)?

Answers

Answer:

Unless I'm misunderstanding it should be 100% or 1/1  because something that is 100% likely to happen will always happen.

Step-by-step explanation:

If there is anything else that may change my understanding of this please send it otherwise I hope this helps.

The value of P(A) is 1 where A is the event that is certain to occur because the probability of any event is 1 which means that event is certain to occur.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

If event A is certain to occur.

As we know,

From the definition of probability, the ratio of the number of favorable outcomes to the total number of outcomes

The value of the probability lies between 0 to 1 or [0, 1]

If the probability of any event is 0 that means that event cannot happen.

If the probability of any event is 1 that means that event is certain to occur.

Event A is certain to occure.

P(A) = 1

Thus, the value of P(A) is 1 where A is the event that is certain to occur because the probability of any event is 1 which means that event is certain to occur.

Learn more about the probability here:

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The freight charge on a shipment of 1200 kg is $84.00.
Which is the rate per 100 kg?
A. $0.78
B. $4.00
C. $5.70
D. $7.00
d
E. $10.08

Answers

Answer:

d

Step-by-step explanation:

The freight charge on a shipment of 1200 kg is $84.00. So, the rate per 100 kg would be $7.00. option D is correct.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that the freight charge on a shipment of 1200 kg is $84.00. we need to find the rate per 100 kg.

So, by the unitary method,

The freight charge on a shipment of 1200 kg = $84.00.

The freight charge on a shipment of 1 kg = 84/ 1200

The freight charge on a shipment of 100 kg = 84/ 1200

                                                                           = 84 x 100/ 1200

                                                                            = $7.00

Learn more about the unitary method;

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A flagpole casts a 40 foot shadow. The angle of elevation grom the tip of the shadow to the tip of the flagpole is 36". How tall is the flagpole

Answers

Answer:

45/22

Step-by-step explanation:

Please help me I’m so lost PLEASE NO SCAMMING

Answers

Answer:

the buttons are alredy on the calculator.

Step-by-step explanation:

7. You press and hold down the Alt button on your keyboard and then type 251 on your number pad located to the right of your keyboard. Or if it’s a hand held calculator you switch to secondary function and locate the symbols in red/blue underneath the original key.
8. Plug in your answer back into the the problem or invert the question so like instead of addition you subtract the product from one of the subjects in the original equation.
9. You can type a fraction into a calculator by placing the numerator first then inserting a forward slash and then your denominator.
I hope that helps, let me know if you have any more questions. Have a good day!

Gabriel servers 80 glasses for fruit juice for a party. He pours 2/3 cup of fruit juice into each glass. How many cups of fruit juice in fractions does Gabriel pour in all?

Answers

Answer:

53 1/3 cups

Step-by-step explanation:

if there are 80 glasses and each glass has 2/3 of juice in it, there will be 53 1/3 cups in total because 80 x 2/3 = 53 1/3

help me, please this is kinda hard

Answers

Answer:

[tex]x = 4.8[/tex]

Step-by-step explanation:

[tex] \frac{3}{4} = \frac{3.6}{x} [/tex]

[tex]3x = 14.4[/tex]

[tex]x = 4.8[/tex]

4.8 hope this helped tell me if I got it wrong please
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