10. The Wearever Carpet Company manufactures two brands of carpet—shag and sculptured—in 10-yard lots. It requires 8 hours to produce one lot of shag carpet and 6 hours to produce one lot of sculptured carpet. The company has the following production goals, in prioritized order:
(1) Do not underutilize production capacity, which is 480 hours.
(2) Achieve product demand of 40 (100-yard) lots for shag and 50 (100-yard) lots for sculptured carpet. Meeting demand for shag is more important than meeting demand for sculptured, by a ratio of 5 to 2.
(3) Limit production overtime to 20 hours.
a. Formulate a goal programming model to determine the amount of shag and sculptured carpet to produce to best meet the company’s goals.
b. Solve this model by using the computer.
In: Statistics and Probability
|
Temperature |
61 |
70 |
50 |
65 |
48 |
75 |
53 |
|
Attendance |
10 |
16 |
12 |
15 |
8 |
20 |
18 |
__________________________________________________________________________
_________________________________________________________________________
In: Statistics and Probability
The SAT and the ACT are the two major standardized tests that
colleges use to evaluate candidates. Most students take just one of
these tests. However, some students take both. The data data91.dat
gives the scores of 60 students who did this. How can we relate the
two tests?
(b) Find the least-squares regression line and draw it on your
plot. Give the results of the significance test for the slope.
(Round your regression slope and intercept to three decimal places,
your test statistic to two decimal places, and your
P-value to four decimal places.)
| ACT = | ___+ __ (SAT) |
| t = | |
| P = |
(c) What is the correlation between the two tests? (Round your
answer to three decimal places.)
obs sat act 1 1203 28 2 827 17 3 622 15 4 712 16 5 1069 30 6 984 22 7 1172 26 8 963 20 9 848 15 10 1028 16 11 778 17 12 623 12 13 1110 22 14 740 15 15 1023 19 16 1077 23 17 1225 26 18 804 13 19 1307 32 20 933 20 21 737 17 22 1210 29 23 1024 24 24 1077 22 25 1077 26 26 714 16 27 496 10 28 1140 23 29 961 25 30 587 16 31 521 9 32 891 13 33 704 17 34 1153 22 35 1189 32 36 968 22 37 1016 26 38 663 14 39 776 20 40 1092 26 41 682 14 42 1288 30 43 937 25 44 876 16 45 955 23 46 1143 26 47 841 23 48 1251 32 49 765 20 50 1067 16 51 1215 28 52 1040 25 53 655 11 54 894 20 55 1011 24 56 926 18 57 838 23 58 1078 24 59 962 24 60 795 20
In: Statistics and Probability
Three LEDs (one red, one green, one blue) turn on when a number 0–7 is passed through. Red turns on with even numbers, green turns on with odd numbers, blue turns on with multiples of 3. Zero means they are all off, seven means they are all on. Set–up the appropriate truth table, simplify using K–maps. Implement, using LogiSim, the simplified logic circuit with optimal number of logic gates.
can someone please explain how to do the logisim?? i am having trouble taking the simplified kmaps answer into logisim
i got everything but the last part
In: Computer Science
Implement the dynamic algorithm of 0-1 knapsack problem in Java. The following table shows 10 items, their values and weights. The maximum weight capacity of the knapsack is 113. What could be the maximum value of the knapsack and the most valuable set of items that fit in the knapsack?
| Item | Weight | Value |
| 1 | 32 | 727 |
| 2 | 40 | 763 |
| 3 | 44 | 60 |
| 4 | 20 | 606 |
| 5 | 1 | 45 |
| 6 | 29 | 370 |
| 7 | 3 | 414 |
| 8 | 13 | 880 |
| 9 | 6 | 133 |
| 10 | 39 | 820 |
In: Computer Science
Traditionally, wine has been sold in glass bottles with cork stoppers. The stoppers are supposed to keep air out of the bottle because oxygen is the enemy of the wine. Particularly red wine. Recent research appears to indicate that metal screw caps are more effective in keeping air out of the bottle. However, metal caps are perceived to be inferior and usually associated with cheaper brands of wine. A random sample of 130 people who drink at least one bottle per week on average was asked to participate in an experiment. All were given the same wine in two types of bottles. One group was given a corked bottle, and the other group of people was given a bottle with a metal cap and asked to taste the wine and indicate what they think the retail price of the wine should be.
METAL PRICE = 13 12 16 5 7 8 6 10 11 9 6 16 15 15 9 17 6 10 11 7 8 11 22 21 11 6 11 10 17 12 13 11 16 18 12 11 11
CORK PRICE = 16 10 15 10 17 11 14 13 11 14 11 16 18 16 10 17 14 14 16 7 10 12 19 15 16 14 9 12 21 13 10 16 12 16 13 17 17
QUESTION-Determine the rejection and nonrejection regions.
In: Statistics and Probability
Terry and Associates is a specialized medical testing center Denver, Colorado. One of the firm's major sources of revenue is a lot used to test for elevated of lead in the blood. Workers in auto body shops, those in the lawn care industry, and commercial house painters are exposed to large amounts of lead and thus must be randomly tested. It is expensive to conduct the test, so the kits are delivered on demand to a variety of locations throughout the Denver area.
Kathleen Terry, the owner, is concerned about setting appropriate costs for each delivery. To investigate, Ms. Terry gathered information on a random sample 0f 46 recent deliveries. Factors thought to be related to the cost of delivering a kit were:
Prep The time in minutes between when the customized order is phoned into the company and when it is ready for delivery.
Delivery
The actual travel time in minutes from
Terry"s plant to the customer.
Mileage The distance in miles from Terry's plant to the customer.
Cost Prep Delivery Mileage
32.60 10 51 20
23.37 11 33 12
31.49 6 47 19
19.31 9 18 8
28.35 8 88 17
28.17 5 35 16
20.42 7 23 9
21.53 9 21 10
27.55 7 37 16
23.37 9 25 12
17.10 15 15 6
27.06 13 34 15
15.99 8 13 4
17.96 12 12 4
25.22 6 41 14
24.29 3 28 13
22.76 4 26 10
28.17 9 54 16
19.68 7 18 8
25.15 6 50 13
20.36 9 19 7
21.16 3 19 8
25.95 10 45 14
18.76 12 12 5
18.76 8 16 5
24.49 7 35 13
19.56 2 12 8
22.63 8 30 11
21.16 5 13 8
21.16 11 20 8
19.68 5 19 8
18.76 5 14 7
17.98 5 11 4
23.37 10 25 12
25.22 6 32 14
27.06 8 44 16
21.06 9 28 9
22.63 8 31 11
19.68 7 19 8
22.76 8 28 10
21.96 13 18 9
25.95 10 32 14
26.14 8 44 15
24.29 8 34 13
24.35 3 33 12
1. Write the regression equation.
2. Interpret the regression constant and partial regression coefficients.
3. Test the overall significant of the regression model
4. Is there any indication of multicollinearity.
In: Math
Your measure of intelligence test booklet says that X= 100 (SD = 15). Using that information, match the following terms with its numerical value. Match
Mean _____ 1. 55 - 145
68% sure the true scores lies in the range of ___________ 2. 100
standard deviation _________ 3. 70 - 130
99% sure the true scores lies in the range of ________ 4. 85 - 115
95 % sure the true scores lies in the range of ________ 5. 15
In: Statistics and Probability
Gary Reynolds is a sole trader and runs his own business as an architect. Gary tried to expand the business 12 months ago by borrowing $100,000 from Rap Bank, employing two assistant architects and setting up a new office on Mitchell Street, Darwin. Gary now finds that his operational costs and debts are much higher than the revenue coming in from the architecture services he provides. A number of creditors are now pressing Gary for payment, including the landlord who wants to repossess the Mitchell St office because of unpaid rent. These creditors cannot all be paid within contractual terms. Gary, a single father, owns a house which is mortgaged to Rap Bank and various other assets such as two cars and some cash in his bank account. Explain how Gary’s situation might be different if he was a director of a company (eg, ‘GR Architecture Pty Ltd’), instead of being a sole trader. Describe the advantages and disadvantages of establishing a company?
In: Accounting
Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of cable by arranging the cable in a Y-shaped configuation. Centerville is located at (12,0) in the xy-plane, Springfield is at (0,9), and Shelbyville is at (0,−9). The cable runs from Centerville to some point (x,0) on the x-axis where it splits into two branches going to Springfield and Shelbyville. Find the location (x,0) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer.
To solve this problem we need to minimize the following function of
We find that f(x) has a critical number at x=
To verify that f(x) has a minimum at this critical number we
compute the second derivative f''(x) and find that its value at the
critical number is , a positive number.
Thus the minimum length of cable needed is
In: Advanced Math