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.
Answers
Answer:
Step-by-step explanation:
Related Questions
What are the zeros of the function y = 2x2 + 9x+4 ?
Help pls! ;-;
Answers
Answer:
x = {-4, -1/2}
Step-by-step explanation:
2x² + 9x + 4 = 0
Factor
(2x + 1)(x + 4) = 0
2x + 1 = 0
x = -1/2
x + 4 = 0
x = -4
x = {-4, -1/2}
I don’t know what to do please don’t give me files I don’t get it
Answers
Answer:
i believe its dependent
Step-by-step explanation:
5-64 =
A. -8
B. -4
C. 4 or -4
O D. -16
Answers
Help me please, I need this
Answers
321,300,0
Multiply 20x17x15x18x35
20×17= 340
5×18= 90
340+90= 430
answer 430 km
i hope this helps ^^
What is the measure of ZGMII?
Answers
Answer:
answer is A
Step-by-step explanation:
50+90=140
180-140=40
brainliest plz
HMP is isosceles triangle with base MP, also NP⊥OM and NM = OP Name the postulate or theorem you can use to prove NHM = OHP
Answers
Answer:
HL theorem
Step-by-step explanation:
since NP⊥OM, so, L H is a right angle.
and NM = OP as hypotenuse
HL theorem
NP is perpendicular to OM
<NHO=90°NM =OP given
So the triangles are congruent
slope of a line that goes through points (-8,0) and (0,6)
Answers
Answer:
3/4
Step-by-step explanation:
slope = rise / run
slope = ∆y/∆x
slope = (y2 - y1) / (x2 - x1)
slope = (6 - 0) / ( 0 - -8)
slope = 6/8
slope = 3/4
When you sunbathe nine feet from the swimming pool, your distance to a point of
tangency with the pool is twelve feet. Find the radius of the pool.
Answers
Answer:
[tex]9.5 \sqrt{?} [/tex]
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Below is a computer output for linear regression of amount of fertilizer versus yield for the 10 plots of land.
Predictor Coef SE Coef T P
Constant 10.100 0.7973 12.67 0.000
Fertizer 1.50 0.1879 6.12 0.000
S= 0.8404; R-Sq= 82.4% R-Sq(adj) = 80.28%
Required:
What is the equation of the least squares regression line from this sample?
Answers
Answer:
Y = 10.1 + 1.50x
Step-by-step explanation:
From the data contained in the computer output for linear regression
The coefficient of intercept = 10.1
coefficient of fertilizer = 1.50
Sample of an Equation of least squares regression line
y = a + bx
where : a = intercept , b = slope
hence the required equation will be
Y = 10.1 + 1.50x
y = yield , x = fertilizer
Which could be the function graphed below?
Answers
Answer:
The answer is f(x) =√x+4. It would be last one.
Find the probability of two persons being born on the same day?
Answers
Answer:
1/365
Step-by-step explanation:
The probability of being born any day of the year is 1 or more specifically: 365/365. Since Person B must be born on the same day as Person A their probability is 1/365
Answer:
Person A can be born on any day of the year since they’re the first person we’re asking. The probability of being born any day of the year is 1 or more specifically: 365/365.
Since Person B must be born on the same day as Person A their probability is 1/365.
We want both of these events to happen so multiply the probabilities:
365[tex] \frac{365}{365} . \frac{1}{365} = 0.0027[/tex]So you have a 0.27% chance of walking up to a stranger and discovering that their birthday is the same day as yours.
I think you are happy with this answer
The mean temperature for the first 7 days in January was 6 °C.
The temperature on the 8th day was 3 °C.
What is the mean temperature for the first 8 days in January?
Answers
Answer:
GIME SOME POINTS
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is 4.5
If y varies jointly as x and z and y = 24 when x = 2 and z = 1, find y when x is 12 and z is 2.
A. 288
B. 48
C. 576
D. 144
Answers
Answer:
288
Step-by-step explanation:
y= xkz
K= y/xz
= 24/2×1
= 24/2
= 12
y= xkz
= 12×12×2
= 288
Hence the value of y is 288
Elijah has
2
1
2
2
2
1
bags of candy. A bag of candy weighs
5
5 pounds. How many pounds of candy does Elijah have?
pounds of candy.1 in3 (3 is above inches)
Answers
Answer:
50 pounds
Step-by-step explanation:
HELPP can someone give me the answer to this questions?
Answers
Answer:
Step-by-step explanation:
(21+13/74-18x3)x10=17
rad3/ 2=0.86
ad 281^r2-160^2=231
2^10-2^9=512
ultima= 4
PLEASE HELP!!!! I would really appreciate it!!! :)
Answers
Complete the congruence statement.
Answers
Answer:
∠K ≅ ∠N
Step-by-step explanation:
Since you are given ΔJKL ≅ ΔMNO, you can say the corresponding angles are congruent:
∠J ≅ ∠M
∠K ≅ ∠N
∠L ≅ ∠O
So, the answer is ∠N
1 poin
5. A company that makes boxes finds that 60 out of 150 boxes are
damaged. *
What percent of boxes are damaged?
Answers
what is the volume of the cylinder?
Answers
Answer:
[tex]\pi {r}^{2} h[/tex]
r=5
h=4
What is the converse of the statement below?
“If today is Friday, then tomorrow is Saturday."
Answers
Answer:
C (Sorry if its incorrect)
Step-by-step explanation:
I believe its C
Becuase a converse is switching the hypothis and conclusion around
Which measure of variability is the most appropriate for this set of values?
13, 42, 104, 36, 28, 6, 17
A.
range
B.
interquartile range
C.
mean absolute deviation
D.
absolute deviation
E.
either interquartile range or mean absolute deviation
Answers
Answer:
The answer is 100% NOT absolute deviation,
My first guess was range but their is a chance it's wrong.
Answer:
B.interquartile range
Step-by-step explanation:
Got correct on eedmentum...
A study is done to find the 95% confidence interval for the difference in means between the ACT scores between two schools in a given city. One school had a random sample of 39 students had a sample mean of 25.90 with a sample standard deviation of 3.49. The second school had a random sample of 37 students had a sample mean 27.70 with a sample standard deviation of 2.47. What is the lower bound of the 95% confidence interval for the difference in means
Answers
Solution :
95% confidence interval for the difference between the means of ACT scores between two schools, is given by :
[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]
[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]
[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]
[tex]$n_1=39, \ \ n_2=37$[/tex]
M.E. , Margin of error,
[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]
[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]
[tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]
= 9.222
s = 3.03
[tex]$t_{74,0.05} = 1.99$[/tex]
[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]
= 1.4
Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]
= [-3.2, -0.4]
Therefore, the lower bound is -3.2
Plz help me well mark brainliest if correct!!.....
Answers
hope this helps
Answer:
12 inches
Step-by-step explanation:
All you have to do is divide 72 by 6.
72 divided by 6 equals 12.
So your answer would be D.12 inches
Can someone help me with this math problem
Answers
Answer:
$1,545
Step-by-step explanation:
3% of 1500 is 45
1500 + 45 = 1545
Select the correct answer.
Which expression gives the area of triangle QRS?
s
15
20°
R
9
O A £19)(15)cos(209)
O B. (11)(15)cos(209)
oc. (9)(15)sin(20°)
OD. £(11)(15)sin(209)
Answers
Area of ΔQRS is 1/2×9×15×sin20° which is correct option (C)
What is area of triangle?
Area of triangle is half the product of any two sides and the sine of the included angle.
Area = 1/2.ab.sinC
Area of ΔQRS = 1/2×9×15×sin∅
∵ ∅ = 20°
Area of ΔQRS = 1/2×9×15×sin20°
Hence, area of ΔQRS is 1/2×9×15×sin20°
Learn more about area of triangle
https://brainly.com/question/27683633
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Help me
Brandee wants to add new wallpaper to her wall around the window. The inner light blue rectangle represents the window and the outer orange rectangle represents the wall around the window. What is the area of the wall around the window, or the orange rectangle around the blue rectangle? Select the correct number from the drop down menu to show the area of the wall around the window.
A= Choose... ft2
Answers
Answer:
What are the answer choices?
Please help i really need the points on this test ill give u brainliest if ur right!!
Answers
Answer:
13 and 16 for the first question and the second part i dont know sorry
Step-by-step explanation:
The median is the line in the center of the box
ANSWER THIS ASAP NO FILE AT ATT!!
Answers
Answer:
option B
Step-by-step explanation:
Have a great day!
Answer: C
Step-by-step explanation:
I did the test and it was right
Find the values of m and n.
Answers
Answer:
[tex]m=46^{\circ},\\n=22^{\circ}[/tex]
Step-by-step explanation:
From the isosceles-base theorem, the base angles of two equal legs in a triangle must be equal. Thus, we can set the up the following equation to solve for [tex]n[/tex]:
[tex]136+n+n=180,\\136+2n=180,\\2n=44,\\n=\boxed{22^{\circ}}[/tex]
Now that we've found [tex]n[/tex], we can set up the following equation with respect to the largest triangle:
[tex]90+n+m+n=180,\\90+22+m+22=180,\\134+m=180,\\m=\boxed{46^{\circ}}[/tex]
Answer:
M = 46°
N = 22°
Step-by-step explanation:
Value of M:
Sum of angles in triangle = 180°
180° - 90° - (180° - 136°) = m
90° - 44° = m
m = 46°
Value of N:
The triangle is isosceles (marked by the two congruent lines with the tick)
That means that the other two angles, are the same
180° - 136° = 2n
44° = 2n
n = 22°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.
annual premium: $
quarterly premium: $
Answers
Answer:
Annual premium = $1,500 per year
Quarterly premium = $375 per quarter
Step-by-step explanation:
Given:
Insured amount of term insurance plan = $15,000
Number of year = 10 year
Find:
Annual premium
Quarterly premium
Computation:
Annual premium = Insured amount of term insurance plan / Number of year
Annual premium = $15,000 / 10
Annual premium = $1,500 per year
Quarterly premium = Insured amount of term insurance plan / Number of quarter in 10 year
Quarterly premium = 15,000 / (10 x 4)
Quarterly premium = 15,000 / 40
Quarterly premium = $375 per quarter