For the following provide (a) algebraic formulation, (b) optimized model using Excel-Solver, and (c) statement of the optimal solution.

Paper Company plant produces rolls of paper of various types for its customers. One product type is rolls of wrapping paper in several different standard widths, as follow: 12, 15, 20, 24, 30, or 40 inches. The various-width rolls are produced by slicing 60-inch wide rolls in plant. For a given week, company waits for all its customer orders to come in and then decides how to slice its 60-inch rolls to satisfy that week’s orders, to minimize the waste (i.e., the part of the rolls sliced that’s not used for customers’ orders that week). [For example if customer orders in a particular week totaled six 15-inch wide rolls and two 40-inch wide rolls, the orders could be satisfied by appropriately slicing three 60-inch wide rolls, leaving only two 5-inch waste rolls.]

company wants to use the minimum number of 60-inch rolls to meet each week’s customer orders, minimizing waste – with waste being defined as any part of rolls that is not being shipped out to meet that week’s customer orders for which rolls were sliced.

company needs to determine how many 60-inch rolls are to be used to meet this week’s customer orders, totaling 48 12-inch wide rolls, 19 15-inch wide rolls, 22 20-inch wide rolls, 32 24-inch wide rolls, 14 30-inch wide rolls, and seven 40-inch wide rolls

3. A sample of 25 freshmen and senior students at a major university completed a survey that extent of satisfaction with the parking situation on the campus (the higher the score, the greater the satisfaction).

Compute the median, mean and standard deviation scores for these data. Based on the measures of central tendency and dispersion, describe the change in the satisfaction with the parking service between freshman and seniors. Make sure that you make a reference to the possible shape of the underlying distributions for the two groups and the change in them over the period of four years?                                                       5 Points

Mohammed LLC Trading Company has produced 15,000 units which is 50% capacity level in the factory. The company has used raw material to make the production worth of RO 65 per unit. The company has incurred direct labour cost at RO 32 per unit along with direct expenses RO 25 per unit. The company spent RO 150,000 on fixed expenses in the factory with per unit cost of RO 10. Other factor expenses for the total production of 15,000 units has arrived at RO 8 per unit. Administration expenses were incurred RO 5 per unit and fixed expenses belongs to 65%. Company has appointed a salesman for selling the products produced in the company at RO 9 per unit produced out of which 20% belongs to fixed. The company has also incurred distribution expenses of RO 7 per unit out of which 40% are variable.

Requirements: The company has approached the you and ask to prepare the flexible budgets for two more required capacity levels; -

1-20,000 units and   

2-30,000 units                                                                                                     

Create a Java program that asks a user to enter two file names. The program will read in two files and do a matrix multiplication. Check to make sure the files exist.

first input is the name of the first file and it has
2 (length)

• 4 5
• 6 7
• Second input is the name of the second file and it has
• 2 (length)
• 6 7
• 8 9

try catch method

A mass m₁ = 5.6 kg rests on a frictionless table and connected by a massless string to another mass m₂ = 5.7 kg. A force of magnitude F = 44 N pulls m₁ to the left a distance d = 0.88 m. Initally both blocks are at rest.

1)

How much work is done by the force F on the two block system?

J

2)

How much work is done by the normal force on m₁ and m₂?

J

3)

What is the final speed of the two blocks?

m/s

4)

How much work is done by the tension (in-between the blocks) on block m₂?

J

5)

What is the tension in the string?

N

6)

The net work done by all the forces acting on m₁ is:

positive

zero

negative

7)

What is the NET work done on m₁?

Assume the average stock price for companies making up the S&P 500 at certain time period is $40, and the standard deviation is $10. Assume the stock prices are normally distributed. Assume the stock prices are normally distributed. From Table 1: Cumulative Probabilities for the Standard Normal Distribution, what is the probability company will have a stock price of at least $50?

0.9332

0.8413

0.1583

0.0068

None of the above

2.

Let Z be the standard normal random variable. What is P(Z>1.38)?

3.

A researcher has collected the following sample data.

  

The 25th percentile from manual work is

Jiminy’s Cricket Farm issued a bond with 30 years to maturity and a semiannual coupon rate of 7 percent 6 years ago. The bond currently sells for 96 percent of its face value. The company’s tax rate is 25 percent. The book value of the debt issue is $60 million. In addition, the company has a second debt issue on the market, a zero coupon bond with 9 years left to maturity; the book value of this issue is $35 million, and the bonds sell for 73 percent of par.

What is the after-tax cost of debt?

The question below is fill-in-the-blank. Be sure that you follow the instructions since it is computer graded. Either fill in the exact value you get from StatCrunch (no rounding) OR write your answer selection exactly as it is written.

A soft-drink company is conducting research to select a new design for the can. A random sample of participants has been selected. Instead of a typical taste test with two different sodas, they gave each participant the same soda in two different cans. One can was predominantly red, and the other predominantly blue. The order was chosen randomly. Participants were asked to rate each drink on a scale of 1 to 10. The data are recorded below and α=0.05.

Does this sample indicate that there is a difference in the ratings based on can color?  Test an appropriate hypothesis. Assume conditions have been met and that µ_{d = red - blue}

Hypotheses:

H₀: µ_d=0; The mean difference of ratings is zero.

H₀: µ_{d  (<, >, not equal to)} 0; The mean difference of ratings is  (greater than, less than, different than) zero.

Calculations: Type each value EXACTLY as they are given in StatCrunch

Mean:

Std. Err.:

DF:

T-Stat:

P-value:

Conclusion:

Since the P-value is  (low, high), we  (reject, fail to reject) the null hypothesis. There  (is/is not) sufficient evidence to suggest that can color  (increases, reduces, changes) the average rating of the soda.

Tom Nook Inc. is selling brand new island homes to customers of Dodo Airlines. Operating data for the company and its absorption costing income statements for the last two years are presented below. Monetary units have been converted from Bells to US Dollars.

For both years: $85,000 Variable manufacturing costs are $4,000 per unit. Fixed manufacturing overhead was $100,000 in each year. This fixed manufacturing overhead was applied at a rate of $2,000 per unit. Variable selling and administrative expenses were $1 per unit sold.

a) Compute the unit product cost in Year 2 under variable costing.

b) Compute the unit product cost in Year 1 under absorption costing.