1) The following data shows the yearly production data collected from firms in XYZ state and ABC state.
|
Yearly production in tons |
Number of Firms in XYZ |
Number of Firms in ABC |
|
50 - 150 |
9 |
35 |
|
150 - 250 |
10 |
40 |
|
250 - 350 |
11 |
56 |
|
350 - 450 |
40 |
62 |
|
450 - 550 |
56 |
78 |
|
550 - 650 |
68 |
55 |
|
650 - 750 |
110 |
53 |
|
750 - 850 |
125 |
52 |
|
850 - 950 |
98 |
44 |
|
950 - 1050 |
105 |
42 |
|
1050 -1150 |
25 |
48 |
|
1150 -1250 |
20 |
57 |
|
1250 -1350 |
18 |
40 |
|
1350 - 1450 |
5 |
38 |
1) Calculate:
In: Economics
The Morton Supply Company produces clothing, footwear, and accessories for dancing and gymnastics. They produce three models of pointe shoes used by ballerinas to balance on the tips of their toes. The shoes are produced from four materials: cardstock, satin, plain fabric, and leather. The number of square inches of each type of material used in each model of shoe, the amount of material available, and the profit/model are shown below:
|
Material (measured in square inches) |
Model 1 |
Model 2 |
Model 3 |
Material Available |
|---|---|---|---|---|
|
Cardstock |
12 |
10 |
14 |
1,200 |
|
Satin |
24 |
20 |
15 |
2,000 |
|
Plain fabric |
40 |
40 |
30 |
7,500 |
|
Leather |
11 |
11 |
10 |
1,000 |
|
Profit per model |
$50 |
$44 |
$40 |
Identify the decision variables, objective function, and constraints in simple verbal statements.
Mathematically formulate a linear optimization model.
Please show Step 2 in Excel
In: Operations Management
5. Maglie Company manufactures two video game consoles: handheld and home. The handheld consoles are smaller and less expensive than the home consoles. The company only recently began producing the home model. Since the introduction of the new product, profits have been steadily declining. Management believes that the accounting system is not accurately allocating costs to products, particularly because sales of the new product have been increasing.
Management has asked you to investigate the cost allocation problem. You find that manufacturing overhead is currently assigned to products based on their direct labor costs. For your investigation, you have data from last year. Manufacturing overhead was $1,273,000 based on production of 340,000 handheld consoles and 106,000 home consoles. Direct labor and direct materials costs were as follows:
| Handheld | Home | Total | |||||||
| Direct labor | $ | 1,213,250 | $ | 378,000 | $ | 1,591,250 | |||
| Materials | 770,000 | 708,000 | 1,478,000 | ||||||
Management has determined that overhead costs are caused by three cost drivers. These drivers and their costs for last year are as follows:
| Activity Level | ||||||
| Cost Driver | Costs Assigned | Handheld | Home | Total | ||
| Number of production runs | $ | 495,000 | 35 | 10 | 45 | |
| Quality tests performed | 570,000 | 13 | 17 | 30 | ||
| Shipping orders processed | 208,000 | 100 | 60 | 160 | ||
| Total overhead | $ | 1,273,000 | ||||
Required:
a. How much overhead will be assigned to each product if these three cost drivers are used to allocate overhead? What is the total cost per unit produced for each product? (Round "Total cost per unit" to 2 decimal places.)
| overhead | total cost per unit | |
| handheld | $ 8.07 | |
| home | $ 15.07 |
b. How much overhead will be assigned to each product if direct labor cost is used to allocate overhead? What is the total cost per unit produced for each product? (Do not round intermediate calculations. Round "Total cost per unit" to 2 decimal places.)
| overhead | total cost per unit | |
| handheld | ||
| home |
In: Accounting
A piece of wire of length 50 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) minimize and (b) maximize the combined area of the circle and the square?
a) To minimize the combined area, the wire should be cut so that a length of ____ is used for the circle and a length of ____is used for the square. (Round to the nearest thousandth as needed.)
b) To maximize the combined area, the wire should be cut so that a length of ____is used for the circle and a length of ____is used for the square. (Round to the nearest thousandth as needed.)
In: Math
In JAVA
Make a separate post (50 words or more for each) on two of the following topics before the Initial Post due date.
Topics (choose two, separate post for each)
In: Computer Science
Suppose, for simplicity, that there are two kinds of used cars in the market. Exactly 50% of the cars are good cars worth $10,000, and 50% are bad cars (lemons) worth only $5,000. Also suppose that only the car owner truly knows the type of car that it is.
A.If both kinds of cars are sold, what is your expected value from buying a used car?
B.Now suppose that current owners of good cars (i.e., the sellers) have a reservation value of $8,500 (i.e., they’d rather keep a good quality car than sell it for less than $8,500). The sellers of bad cars value their cars at only $4,500. You know the reservation prices exist; however, you cannot distinguish the good sellers from the bad ones. If someone offers you a car at $6,500, do you buy it? Why or why not? C
C.What problem of asymmetric information is this exercise related to (be specific)?
In: Economics
Find the magnitude and direction of the resultant of two concurrent forces of 50 and 75 N acting on a body at angle of 50 degrees with each other Use the graphical method and the algerbraic method
In: Physics
complete a multiple regression and select the best mix of IV to explain game attendance. Once you have the best mix of variables, accept or reject the nulls, create the formula for predicting the regression, lower 95% Confidence Interval and upper 95% Confidence Interval
| Game Number | Game Attendance | Team Win/Loss Percentage | Opponent Win/Loss Percentage | Games Played | Temperature |
| 1 | 14,502 | 33.3 | 80 | 6 | 47 |
| 2 | 12,459 | 25 | 50 | 4 | 56 |
| 3 | 15,600 | 80 | 66.6 | 5 | 55 |
| 4 | 16,780 | 75 | 100 | 8 | 60 |
| 5 | 14,600 | 60 | 80 | 10 | 55 |
| 6 | 19,300 | 100 | 60 | 10 | 49 |
| 7 | 14,603 | 66.6 | 25 | 3 | 67 |
| 8 | 15,789 | 50 | 50 | 6 | 55 |
| 9 | 17,800 | 80 | 40 | 10 | 53 |
| 10 | 19,450 | 75 | 100 | 8 | 48 |
| 11 | 13,890 | 20 | 75 | 5 | 65 |
| 12 | 15,097 | 70 | 70 | 10 | 56 |
| 13 | 17,666 | 83.3 | 66.6 | 6 | 60 |
| 14 | 12,500 | 20 | 20 | 5 | 59 |
| 15 | 16,780 | 80 | 100 | 8 | 46 |
| 16 | 17,543 | 80 | 70 | 10 | 50 |
| Football Attendance at State University | ||||||
| File: Football.xlsx | ||||||
| Column A: Game Number | ||||||
| Column B: Game Attendance | ||||||
| Column C: Win/Loss Percentage | ||||||
| Column D: Opponent Win/Loss Percentage | ||||||
| Column E: Games Played | ||||||
| Column F: Temperature | ||||||
In: Statistics and Probability
Baker premium is a company producing buns in a rented factory with the rental cost of $100 per day. The wage per worker is $40 per day. The table below shows the daily amount of buns produced with a different number of workers employed in the factory
| Workers | Buns |
1 | 30 |
| 2 | 70 |
| 3 | 130 |
| 4 | 210 |
| 5 | 260 |
| 6 | 300 |
| 7 | 320 |
| 8 | 330 |
(a) Compute and explain the minimum price per bun for Baker Premium to operate in the short-run and in the long-run
(b) If the price per bun is $1.50, determine the optimal output and compute the daily profit or loss incurred by Baker Premium. Explain why this ouput is optimal
(c) Consider the utility company in a city which is the only licensed water supplier in the city. The demand for water is given by P = 10 - 0.006Q and the marginal cost of the company is given by MC = 2 + 0.004Q. Identify the optimal output, the market price, the consumer surplus, the producer surplus and the deadweight loss in the water market.
In: Economics
Two parallel rectangles having emissivities of 0.6 and 0.9 are
each 1.2 meters wide and 2.4
meters high. They are positioned 0.6 meters apart. The plate with ?
= 0.6 is at 1000 K while the other is
420 K. The surroundings are at 290 K and may be assumed to absorb
all energy that escapes the two plates.
(a) What is the total energy lost (Watts) from the hotter plate
(radiosity)?
(b) What is the radiant energy exchange (Watts) between the two
plates?
In: Mechanical Engineering