There are 5 jobs that have to be scheduled in a two-machine job shop system. The processing time and the sequence of the required operations of these jobs on the two machines are shown in the table below. For example, job A needs 6 hours on machine 1 (M1) and 4 hours on machine 2 (M2), and it has to be processed on M1 and then M2. You have to use the shortest processing time (SPT) rule to schedule the waiting jobs at either M1 or M2. Assume that all jobs are available at time zero and the material handling time is negligible compared to the processing time. Develop the Gantt chart of scheduling these jobs on both machines using the SPT rule and estimate the makes pan of the developed schedule and the average flow time. The processing time and the sequence of the jobs Job Processing time (hours) Sequence of operations M1 M2 A 6 4 M1-M2 B 4 7 M2-M1 C 3 6 M1-M2 D 4 5 M2-M1 E 7 8 M1-M2 There are 5 jobs that have to be scheduled in a two-machine job shop system. The processing time and the sequence of the required operations of these jobs on the two machines are shown in the table below. For example, job A needs 6 hours on machine 1 (M1) and 4 hours on machine 2 (M2), and it has to be processed on M1 and then M2. You have to use the shortest processing time (SPT) rule to schedule the waiting jobs at either M1 or M2. Assume that all jobs are available at time zero and the material handling time is negligible compared to the processing time. Develop the Gantt chart of scheduling these jobs on both machines using the SPT rule and estimate the makes pan of the developed schedule and the average flow time. The processing time and the sequence of the jobs

Job Processing time (hours) Sequence of operations

M1 M2

A 6 4 M1-M2

B 4 7 M2-M1

C 3 6 M1-M2

D 4 5 M2-M1

E 7 8 M1-M2

Activity 1: How far can a soccer player kick a soccer ball down field? Through the application of a linear function and a quadratic function and ignoring wind and air resistance one can describe the path of a soccer ball. These functions depend on two elements that are within the control of the player: velocity of the kick (v k ) and angle of the kick (?). A skilled high school soccer player can kick a soccer ball at speeds up to 50 to 60 mi/h, while a veteran professional soccer player can kick the soccer ball up to 80 mi/h. Vectors Gravity The vectors identified in the triangle describe the initial velocity of the soccer ball as the combination of a vertical and horizontal velocity. The constant g represents the acceleration of any object due to Earth’s gravitational pull. The value of g near Earth’s surface is about ?32 ft/s2 . v x = v k cos ? & v y = v k sin ?

1. Use the information above to calculate the horizontal and vertical velocities of a ball kicked at a 35° angle with an initial velocity of 60 mi/h. Convert the velocities to ft/s. (2 pts) Project 2 368 MTHH 039 2. The equations x(t) = v x t and y(t) = v y t + 0.5 gt2 describe the x- and y- coordinate of a soccer ball function of time. Use the second to calculate the time the ball will take to complete its parabolic path. (4 pts) 3. Use the first equation given in Question 2 to calculate how far the ball will travel horizontally from its original position. (2 pts)

Activity 2: How far can a soccer player kick a soccer ball down field? Through the application of a linear function and a quadratic function and ignoring wind and air resistance one can describe the path of a soccer ball. These functions depend on two elements that are within the control of the player: velocity of the kick (v k ) and angle of the kick (?). A skilled high school soccer player can kick a soccer ball at speeds up to 50 to 60 mi/h, while a veteran professional soccer player can kick the soccer ball up to 80 mi/h.

1. Use the technique developed in Activity 1 to calculate horizontal distance of the kick for angle in 15° increments from 15° to 90°? Make a spreadsheet for your calculations. Use the initial velocity of 60 mi/h. (8 pts)

I want to know the answer of the last question that I write bold and italic. Let me know the answer of this questions!!!

Suppose there are three stocks with the same expected returns of 10% per year and the same risk (standard deviation) of 100%. The correlation between any two of them is 50%.

a. What is the risk of the equal-weighted portfolio of two stocks?

b. What is the risk of the equal-weighted portfolio of three stocks?

c. What is the minimum possible risk of the portfolio of the three stocks?
  
d. If the third stock has a correlation of -50% instead of 50% with the rest, what is the risk of the equal-weighted portfolio of three stocks, and what is the minimum possible risk?

A 52-year-old man went to his physician for a physi- cal examination. The patient had been a district manager for an automobile insurance company for the past 10 years and was 24 pounds overweight. He had missed his last two appointments with the phy- sician because of business. The urinalysis dipstick finding was not remarkable. His blood pressure was elevated. The blood chemistry results are listed

Questions 1. Given the abnormal tests, what additional information would you like to have?

2. If this patient had triglycerides of 100 mg/dL (1.1 mmol/L) and an HDL-C of 23 mg/dL (0.6 mmol/L), what would be his calculated LDL-C value?

3. If, however, his triglycerides were 476 mg/dL (5.4 mmol/L), with an HDL-C of 23 mg/dL (0.6 mmol/L), what would be his calculated LDL-C value?

Dual-energy X-ray absorptiometry (DXA) is a technique for measuring bone health. One of the most common measures is total body bone mineral content (TBBMC). A highly skilled operator is required to take the measurements. Recently, a new DXA machine was purchased by a research lab, and two operators were trained to take the measurements. TBBMC for eight subjects was measured by both operators. The units are grams (g). A comparison of the means for the two operators provides a check on the training they received and allows us to determine if one of the operators is producing measurements that are consistently higher than the other. Here are the data.

(a)

Take the difference between the TBBMC recorded for Operator 1 and the TBBMC for Operator 2. (Use Operator 1 minus Operator 2. Round your answers to four decimal places.)

x=

s=

Use a significance test to examine the null hypothesis that the two operators have the same mean. Give the test statistic. (Round your answer to three decimal places.)

t =  

Give the degrees of freedom.

Give the P-value. (Round your answer to four decimal places.)

The sample here is rather small, so we may not have much power to detect differences of interest. Use a 95% confidence interval to provide a range of differences that are compatible with these data. (Round your answers to four decimal places.)

( , )

The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four Aces, four Kings, four Queens, four 10s, etc., down to four 2s in each deck.

You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second.

You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second.

(a) Are the outcomes on the two cards independent? Why?

No. The probability of drawing a specific second card depends on the identity of the first card.

Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.  

  No. The events cannot occur together.

Yes. The events can occur together.

(b)Find P(ace on 1st card and king on 2nd). (Enter your answer as a fraction.)

(c)Find P(king on 1st card and ace on 2nd). (Enter your answer as a fraction.)

(d)Find the probability of drawing an ace and a king in either order. (Enter your answer as a fraction.)

Compute C5,3. (Enter an exact number.)

1. In this assignment, you will use MARS(MIPS Assembler and Runtime Simulator) to write and run a program that reads in a string of ASCII characters and converts them to Integer numbers stored in an array.

There are two different ways to convert the number into ASCII, subtraction and “masking”.

If your student ID ends in an odd number, then use subtraction.

If your student ID ends in an even number, then use masking.

Write a program that:

1.Inputs a 1x8vector of single-digit integers

2.Storestheminto an 8-entry 32-bit Integer array, “V”.

It is not completely trivial to do this given the Syscalls available and the desired input format.

Hint: Use Read String and not Read Integer, then convert from ASCII to integer before storing into the integer array, “V”. Use the ASCII table in the book to determine how to convert from ASCII to integer (there are two ways, both very easy, select the method as per the introduction).

After storing the integers in the array:

1.Read the same values using Read Integer and store them in a 32-bit integer array, “VPrime”.

2.Subtract the two arrays integer by integer and put the results into a third 32-bit integer array, “VCheck”.

3.Sum all the values in VCheck and using Write Integer, display the result.

When you run the program, the input should look something like this with a space between numbers:

Input V: 1 4 0 2 7 3 8 4 (this is just an example vector; it can be any string of single digit integers)

Input VPrime:

1

4

0

2

7

3

8

4

(Where the integers: 0 1 2 3 4 ... 8 9 or whatever vector values the user wants to input are input by the user on the “console.”)

And the output will look like:

Check Result: 0

Consider the following data for a dependent variable y and two independent variables, x2 and x1.

x1 x2 y

30 12 94

46 10 109

24 17 113

50 17 179

41 5 94

51 19 175

75 8 171

36 12 118

59 13 143

77 17 212

Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary.

a. Develop an estimated regression equation relating y to x1 . Predict y if x1=45.

b. Develop an estimated regression equation relating y to x2. Predict y if x2=25.

c. Develop an estimated regression equation relating y to x1 and x2. Predict y if x1=45 and x2=25.

Consider the following data for a dependent variable and two independent variables, and . x1= 30 46 24 50 41 51 74 36 60 77. x2 = 13 11 17 17 6 20 8 12 13 16. y = 95 109 112 178 94 176 170 117 142 212 Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary. a. Develop an estimated regression equation relating to y to x1 . Predict y if x1=35 . b. Develop an estimated regression equation relating y to x2 . Predict y if x2=25 . c. Develop an estimated regression equation relating y to x1 and x2 . Predict if x1=35 and x2=25 .

Ltd produces four modes of Air Pods as follows: Air Pods standard, Air Pods Pro, Air Pods Galaxy and Air Pods Ultra. All products go through three Departments (D1, D2 and D3) but the time needed for each product at different departments varies. Data regarding the total demand for each product, the time needed for each product in each department, selling prices, fixed and variable costs for each product as well as available capacity (in terms of time) in each department (for last month) are presented as follows:

The total time available in each department for the month is 40,003 minutes. This is the same for all three departments.

1. Assume Ltd wanted to fulfil total demand for at least three products. What would be the maximum price that Arya Corp would pay to outsource one minute of production time for each of the three departments? Assume that one minute of outsourced time increases the capacity of the relevant department by one minute.

2. Assume Ltd wanted to fulfil total demand for all products. What would be the maximum price that Arya Corp would pay to outsource one minute of production time for each of the three departments? Assume that one minute of outsourced time increases the capacity of the relevant department by one minute.