Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Find the relative maximum and minimum values of f(x,y) = x3/3 + 2xy + y2 - 3x + 1. 3
The critical point (1, -1) represents a relative minimum of f(x, y) with a value of -1/3 and (1, -1) is the only extremum or relative maximum of the function.
To find the relative maximum and minimum values of the function f(x, y) = (\(x^3\))/3 + 2xy +\(y^2\) - 3x + 1, we need to analyze its critical points and classify them using the second partial derivative test.
To find the critical points, we need to compute the partial derivatives of f with respect to x and y and set them equal to zero:
∂f/∂x = \(x^2\) + 2y - 3 = 0
∂f/∂y = 2x + 2y = 0
Solving these equations simultaneously, we find x = 1 and y = -1.
Thus, the critical point is (1, -1).
Next, we need to compute the second partial derivatives and evaluate them at the critical point:
∂²f/∂x² = 2
∂²f/∂y² = 2
∂²f/∂x∂y = 2
Now, we can use the second partial derivative test to classify the critical point.
The discriminant D = (∂²f/∂x²) × (∂²f/∂y²) - \(\left(\frac{{\partial^2 f}}{{\partial x \partial y}}\right)^2\) = (2)(2) - \((2)^2\) = 0.
Since D = 0, the test is inconclusive.
To determine the nature of the critical point, we can examine the function near the critical point.
Evaluating f at the critical point (1, -1), we find f(1, -1) = \((1^3)\)/3 + 2(1)(-1) + \((-1)^2\) - 3(1) + 1 = -1/3.
Hence, the critical point (1, -1) represents a relative minimum of f(x, y) with a value of -1/3.
There are no other critical points to consider, so we can conclude that (1, -1) is the only extremum of the function.
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0.283 + 35 =
adding decimals
Answer:
35.283
Step-by-step explanation:
Let's put it in a vertical format;
35
0.283
35 plus 0 = 35, and the rest will remain same, so the answer is 35.283
7) 43 is 31% of what number?
8) 105 is 42% of what number?
Answer:
7.) 138.71
8.) 250
Step-by-step explanation:
Was this the answer you were looking for?
Answer:
7)13.33
8)44.1
Step-by-step explanation:
43*31/100=1333/100
=13.33
105*42/100=4410
=44.1
Determine whether each expression represents the statement divide the sum 15 and 6 by the difference of 10 and 3.
Answer:
\(\frac{15+6}{10-3}\)
Step-by-step explanation:
Sum of 15 and 6 = 15 + 6
Difference of 10 and 3 = 10 - 3
So, the expression is
\(\frac {15 + 6}{10-3}\)
This is the required expression.
PLEASE HELP ME WITHIN 30 MINUTES ; - ;
Admission to a zoo costs $10 for adults and $6 for children. A group of 29 people attending the zoo paid a total of $222 in admission fees.
Part A
Write a system of equations to represent the situation. Let a represent the number of adult admissions, and let c represent the number of child admissions.
Answer:
a + c = 29
10a + 6c = 222
Step-by-step explanation:
Admission for each adult costs $10. Admission for each child costs $6.
A group of 29 people attended the zoo.
The total admission fees paid by the group was $222.
Answer:
$222=a x $10 + c x$6
Step-by-step explanation:
I don't think the question is complete though
6. What is the value of −3 • (7 + (-3)²) ÷ 3? (1 point)
O13
0-2
O-16
O-48ہے
Answer:
\(-16\)
Step-by-step explanation:
\(-3 \cdot (7+(-3)^2) \div 3\)
To simplify this expression, use the order of operations (PEMDAS):
P arentheses
E xponents
M ultiplication
D ivision
A ddition
S ubtraction
First, simplify what is in the parentheses.
\(7 + (-3)^2\)
Remember that any number squared ( \(\Box ^2\) ) is positive, so:
\((-3)^2 = 9\)
Therefore,
\(7 + (-3)^2\)
\(= 7 + 9\)
\(= 16\)
We can now replace the parentheses in the original expression with 16.
\(-3 \cdot (7+(-3)^2) \div 3\)
\(= -3(16) \div 3\)
Finally, simplify by multiplying and dividing.
\(-3(16) \div 3\)
\(= -48 \div 3\)
\(= -16\)
please help with problem 22
I am writing this because the app says the answer is to short :)))
Answer:
Step-by-step explanation:
-2x+3y
Consider these functions:
f(x)=r² + 4
g(r)=9r - 12
What is the value of g(f(x))?
The value of g(f(x)) is 9r² + 24.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given are two functions.
f(r) = r² + 4
g(r) = 9r - 12
Composition of two functions f and g is the third function h such that f(g(x)) = h(x).
g(f(x)) = g(r² + 4)
= 9 (r² + 4) - 12
= 9r² + 36 - 12
= 9r² + 24
Hence the new function which is the composition of the two given function is 9r² + 24.
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Option A: $75 for 5 CDs
Option B:
First quadrant of a coordinate plane with X axis labeled Number of C D’s and Y axis labeled Cost in dollars. The line Y equals twelve X is graphed.
Option B is represented by the equation Y = 12X on a Coordinate plane with X representing the number of CDs and Y representing the cost in dollars. The cost per CD for Option B is $12, which is less than the cost per CD for Option A ($15). Therefore, Option B is the better deal
Option A: $75 for 5 CDs
Option B:
First quadrant of a coordinate plane with X axis labeled Number of CDs and Y axis labeled Cost in dollars. The line Y equals twelve X is graphed.
To determine which option is the better deal, we need to compare the cost per CD for each option.
Option A costs $75 for 5 CDs, so the cost per CD can be found by dividing $75 by 5 CDs:
Cost per CD = $75 ÷ 5 = $15/CD
Option B is represented by the equation Y = 12X, where Y is the cost in dollars and X is the number of CDs. To find the cost per CD for Option B, we need to substitute X = 1 (since we want to know the cost for 1 CD) into the equation:
Y = 12X
Y = 12(1)
Y = 12
So Option B costs $12 for 1 CD.
Comparing the cost per CD for each option, we see that:
Cost per CD for Option A = $15/CD
Cost per CD for Option B = $12/CD
Therefore, Option B is the better deal as it costs less per CD than Option A.
Option B is represented by the equation Y = 12X on a coordinate plane with X representing the number of CDs and Y representing the cost in dollars. The cost per CD for Option B is $12, which is less than the cost per CD for Option A ($15). Therefore, Option B is the better deal.
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The option which is cheapest include: B. Option B: $12 for 1 CD.
What is the unit rate?In Mathematics, the unit rate is sometimes referred to as unit price or unit ratio and it can be defined as the quantity of material that is equivalent to a single unit of product or quantity.
In order to determine the unit rate, we would use the following mathematical equation (formula);
Unit rate = Total cost/number of CDs
Unit rate for Option A = 75/5
Unit rate for Option A = $15.
Unit rate for Option B = 12/1 = 24/2 = 36/3 = 48/4 = 60/5
Unit rate for Option B = $12.
In conclusion, we can logically deduce that $12 for 1 CD is much cheaper than $75 for 5 CDs i.e $12 < $15.
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Complete Question;
Which of the following is the cheapest option?
Option A: $75 for 5 CDs
Option B: First quadrant of a coordinate plane with X axis labeled Number of C D’s and Y axis labeled Cost in dollars. The line Y equals twelve X is graphed.
Option A
Option B
Find the area of the given shape?
Answer:
28
Step-by-step explanation:
Area for a triangle is
1/2(bxh) B-Base H-Height
So
1/2(7x8)
1/2(56)
=28
A cone has volume 3. If the cone's radius is 1. what is its height?
2.87 units
The volume of a cone is found by using the formula, V = (1/3)(pi)(h)r^2
Substituting values:
3 = (1/3)(3.14)(h)(1)
2.87 = h
What conjecture can you make about the tangent of complementary angles?
Answer:
Step-by-step explanation:
If the sum of two angles is one right angle or 90°, then one angle is said to be complementary of the other. Thus, 25° and 65°; θ° and (90 - θ)° are complementary to each other.
Suppose a rotating line rotates about O in the anti-clockwise sense and starting from its initial position
There is 13 of a gallon of water in a small fish tank. To clean the tank, Ray pours the water into two smaller bowls. How many gallons of water does Ray pour into each bowl?
Answer:
6.5 gallons
Step-by-step explanation:
if u see we have to divided 13 by 2 to see how much each bowl will have
13/2= 6.5 gallons
PLEASE HELP ME!!! I WILL GIVE YOU 15 POINTS
Answer:
gl with that
Step-by-step explanation:
Answer:
the correct answer is option B. x=2, y=0
hope it helps you
If 6 times a certain number is added to 8, the result is 32.
Which of the following equations could be used to solve the problem?
a. 6 x + 8 = 32
b. 6 x = 32
c. 6 x = 8 + 32
d. 6( x + 8) = 32
Answer:
a) 6x + 8 = 32
Step-by-step explanation:
Forming algebraic equation:
Let the number be 'x'.
6 times x = 6 * x = 6x
6x is added to 8: 6x + 8
6x + 8 = 32
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
Order the following events in terms of likelihood. Start with the least likely event and end with the most likely.*You randomly select an ace from a regular deck of 52 playing cards.*There is a full moon at night.*You roll a die and a 6 appears.*A politician fulfills all his or her campaign promises.*You randomly select the queen of hearts from a regular deck of 52 playing cards.*Someone flies safely from Chicago to New York City, but his or her luggage may or may not have been so lucky.*You randomly select a black card from a regular deck of 52 playing cards.
Starting with the least likely event, the chances of a politician fulfilling all his or her campaign promises can be quite low due to the complexities of politics and the potential for unforeseen circumstances.
Next, while full moons are relatively common, they occur approximately once a month, making it more likely than the politician's scenario but less likely than the other events.
Rolling a die and getting a 6 has a higher likelihood as there is a 1 in 6 chance of rolling a 6 on a fair six-sided die. The safe arrival of a person in New York City from Chicago is more probable than the previous events but still has an element of uncertainty regarding the fate of their luggage.
Randomly selecting an ace from a regular deck of 52 playing cards has a higher probability compared to the previous events, as there are four aces in a deck. The likelihood increases further when randomly selecting the queen of hearts, which is only one specific card out of the 52-card deck.
Finally, selecting a black card from a regular deck has the highest probability among the listed events since there are 26 black cards in the deck, including all the clubs and spades.
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(461065) João Augusto lança uma bola para cima e ela descreve uma trajetória vertical. Os instantes de tempo em que a bola sai e retorna à mão de João Augusto são representados pelas raízes da equação – 5t² + 40t = 0. Durante quantos segundos a bola permaneceu no ar?
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Esse e o site em Ingles, pergunta no em portugues, eles vao responder em portugues, boa sorte
6y−3=57 what does y equal
Answer:
y = 10
Step-by-step explanation:
6y−3=57
6y = 60
y = 10
How do you know if an ordered pair is a solution to a linear equation by looking at the graph?
If the ordered pair is located on the graph of the linear equation, then it is a solution to the equation.
If you are looking at the graph of a linear equation, you can determine whether an ordered pair is a solution by seeing if the point representing the ordered pair is on the line of the equation. If the point is on the line, then the ordered pair is a solution to the equation. If the point is not on the line, then it is not a solution to the equation. The line of the equation will pass through all of the points that are solutions to the equation and all other points will not be on the line. This means that if you have an ordered pair and you want to know if it is a solution, you can look at the graph and see if it is on the line. If it is on the line, then it is a solution.
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Convert the mixed number to an improper fraction 3 1/3
Answer: 10/3
Step-by-step explanation:
multiply the denominator, "3", by the mixed number "3", then add the numerator "1". So 3*3+1=10/3 (the denominator stays the same)
Answer: \(\frac{10}3}\)
1. What is the mean of the number set?
11, 3, 9, 12, 2, 11
O 10
9
O 11
Answer:
78
Step-by-step explanation:
add them all
A set of cards is numbered 1,2,3,4,5,6,7,8,9,10,11,12. Suppose you pick a card at random without looking. Find the probability of each event. Write as a fraction in simplest form for each questions.
P(3) =
P(a number that starts with the letter T) =
P(odd number) =
P(multiple of 4) =
P(3 or 5) =
P(13) =
Answer:
3= 1/12
a number with the letter T= 1/3
odd number= 1/2
multiple of 4= 1/6
3 or 5= 1/6
13= 0
Answer:
p(3)=1/3
p(a number that starts with the letter T)=1/3
p(odd number)=1/2
p(multiple of 4)=1/4
p(3 or 5)=1/6
p(13)=0
Which functions have a horizontal asymptote? y = f(x) y = h(x) y = g(x) y = k(x)
Each function out of the given 4 functions has a horizontal asymptote.
What is an asymptote?An asymptote is a straight line that continually approaches a given curve but does not meet it at any finite distance.
Mathematically, if y=k is a horizontal asymptote for a function x=f(y) the limiting value of the function is infinity as y→k.
Out of the given curves, for every curve limiting value of the function tends to infinity as y→0
So, each function out of the given 4 functions has a horizontal asymptote.
Therefore, each function out of the given 4 functions has a horizontal asymptote.
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Answer:
All of them
Step-by-step explanation:
Alice ran 2 miles in 12 minutes. Jonathan ran 5 miles in 40 minutes. If both were traveling at a constant speed, who
was going faster?
Answer:
Alice
Step-by-step explanation:
If Alice was running 2 miles in 12 minutes then in two hours she would have ran 20 miles. If Jonathan was running 5 miles in 40 minutes then in two hours he would've ran 15 miles. In conclusion Alice would go faster if she was traveling at a constant speed
64x+60 simplified expression
Answer:
4(16x+15)
Step-by-step explanation: They both have the common factor of 4
Which is the last operation performed when evaluating (8 minus 2 x) squared + 4 for x = 3?
addition
multiplication
subtraction
applying the exponent
Answer:
Adding 4
Step-by-step explanation:
Pemdas
Answer:
Addition!
Step-by-step explanation:
Hope it helps <3
What is the sample space of rolling a 6 sided number cube?
The sample space of rolling a 6 sided number cube is the set of all possible outcomes of rolling the number cube. The sample space for a 6 sided number cube is the set of numbers 1,2,3,4,5, and 6.
When rolling a 6 sided number cube, the sample space is the set of all possible outcomes, which are the numbers from 1 to 6. This means that the sample space includes each of the six numbers, with no bias towards any particular number. Each of the six numbers has an equal chance of being obtained when rolling the number cube.
The sample space of a 6 sided number cube is also known as a discrete sample space, since all of the possible outcomes are predetermined and known. The sample space of a 6 sided number cube is finite and can be easily calculated by listing all the possible outcomes. Since there are 6 possible outcomes, the sample space consists of 6 elements.
The sample space of a 6 sided number cube can be easily visualized by imagining a six-sided die being rolled and each side being labeled with a number from 1 to 6. This demonstrates that the sample space of a 6 sided number cube is a discrete sample space, and each of the six numbers has an equal chance of being obtained.
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The teacher has 125 pencils they want to arrange in y amount of containers in the class. Write an expression to show how many pencils will be in each container.
Answer:
125/y
Step-by-step explanation:
Answer:
\(\frac{125}{y}\)
Step-by-step explanation:
If you have 125 pencils and you have \(y\) amount of containers, then you want to get an equal number of pencils in each container.
What operation do we know of that finds an equal distribution across a certain number of groups? Division! That can help us equally split a number into how many parts we need.
Division can be represented in two ways: with a division sign \(\div\) or as a fraction \(\frac{x}{y}\).
You'll find the that the division sign will be used a lot less during Algebra and you'll mainly stick to fractions.
If we are dividing 125 into \(y\) groups, then our fraction is \(\frac{125}{y}\).
Hope this helped!