A craftsman builds two kinds of birdhouses, one for wrens and one for bluebirds. Each wren birdhouse takes 3 hours of labor and 4 units of lumber. Each bluebird house requires 2 hours of labor and 10 units of lumber. The craftsman has available 80 hours of labor and 100 units of lumber, and he wants to build at least 6 wren houses. Wren houses profit $8 each and bluebird houses profit $16 each. How many of each kind of birdhouses should be built in order to maximize total profit?  Formulate this as a linear programming problem (i.e., DO NOT solve it.)

Black Diamond, Inc., a manufacturer of carbon and graphite products for the aerospace and transportation industries, is considering several funding alternatives for an investment project. To finance the project, the company can sell 1,000 15-year bonds with a $1,000 face value, 7% coupon rate. The bonds require an average discount of $50 per bond and flotation costs of $40 per bond when being sold. The company can sell 5,000 shares of preferred stock that will pay a $2 dividend per share at a price of $40 per share. The cost of issuing and selling preferred stocks is expected to be $5 per share. To calculate the cost of common stock, the company uses the dividend discount model. The firm just paid a dividend of $3 per common share. The company expects this dividend to grow at a constant rate of 3% per year indefinitely. The flotation costs for issuing new common shares are 7%. The company plans to sell 10.000 shares at a price of $50 per share. The company's tax rate is 40%. a) Calculate the company's after-tax cost of long-term debt b) Calculate the company's cost of preferred equity c) Calculate the company's cost of common equity d) Calculate the company's weighted average cost of capital e) What is the company's weighted average cost of capital without flotation costs?

Many types of identification numbers, including credit card numbers, must satisfy the Luhn Algorithm in order to be considered "valid". This algorithm verifies the number by performing the following operation: starting from the right-most digit, double every 2nd digit. If this doubling causes that digit to be greater than 9, subtract 9 from it. Now add up all the new digits of the number (including the digits that weren't doubled). If the sum is evenly divisible by 10, then the number is valid, otherwise it is not. For example, for the number 2395129857 this would be:

2 3 9 5 1 2 9 8 5 7

2x2 3 9x2 5 1x2 2 9x2 8 5x2 7 (doubling every 2nd digit from right)

4 3 18 5 2 2 18 8 10 7

4 3 9 5 2 2 9 8 1 7 (subtract 9 from any digit greater than 9)

4 + 3 + 9 + 5 + 2 + 2 + 9 + 8 + 1 + 7 = 50

Since 50 is divisible by 10, this number satisfies the Luhn criteria, and is therefore valid.

a) Write a C function called check_luhn that takes a single integer as input, and returns 1 if the number is valid according to the Luhn algorithm, or 0 if not. HINT: Start from the right-most digit, and use simple C operators to find both the digit and the remaining number once that digit is removed. Then process that number if necessary and add it to the sum.

b) Using the function written in part (a), write a C program to print all of the "valid" numbers between 10000000 and 99999999

c) Please provide a short description (in bullet points) of an explanation of how the program works

Case 1 Instruction (Accounting Application) Use the MS Excel tabular graphical methods of descriptive statistics to summarize the sample data in the data set named PelicanStores in Case 1 folder. The managerial report should contain summaries such as:

1. A frequency and relative frequency distributions for the methods of payment (different cards). (20%)

2. Mean, median, first quartile, third quartile, and sample standard deviation for net sales from regular customers. (20%)

3. Mean, median, first quartile, third quartile, and sample standard deviation for net sales from married female. (20%)

4. Apply the location method to calculate the 60th percentile manually of net sales for each method (card) of payment. Please indicate which card has the highest 60th percentile and show the process. (20%)

5. Apply Chebyshev’s Theorem to calculate the range (i.e. $ to $) of at least 75% of the net sales must fall within for the Proprietary Card payment. (20%) (Hint: What is the z-score for at least 75% of data range?)

Case 1 Instruction (Accounting Application) Use the MS Excel tabular graphical methods of descriptive statistics to summarize the sample data in the data set named PelicanStores in Case 1 folder. The managerial report should contain summaries such as:

1. A frequency and relative frequency distributions for the methods of payment (different cards). (20%)

2. Mean, median, first quartile, third quartile, and sample standard deviation for net sales from regular customers. (20%)

3. Mean, median, first quartile, third quartile, and sample standard deviation for net sales from married female. (20%)

4. Apply the location method to calculate the 60th percentile manually of net sales for each method (card) of payment. Please indicate which card has the highest 60th percentile and show the process. (20%)

5. Apply Chebyshev’s Theorem to calculate the range (i.e. $ to $) of at least 75% of the net sales must fall within for the Proprietary Card payment. (20%) (Hint: What is the z-score for at least 75% of data range?)

Complete the following journal entries for PAT Company.

1. An assembly machine was purchased for $500,000, shipping cost was $10,000, and the company incurred $5,000 installation cost and $3,000 in testing cost. The company took out a $450,000 15 year 8 percent note payable and paid the balance in cash.

2. PAT Company paid $7,500 in routine maintenance costs.

3. Improvements of $10,000 were paid on an old machine which extended its useful flie.

4. Monthly depreciation of $8000 was recorded.

5. The monthly depreciation of a $100,000 asset with a salvage value of $4,000 at the end of its useful life of 8 years was recorded. The company uses a straight line method of depreciation.

6. The monthly depreciation of a $60,000 asset with a salvage value of $6,000 at the end of its useful life of 12,000 hours of production was recorded. The production for this month was 50 hours. The company uses a unit of production method of depreciation.

7. An old machine with an original cost of $30,000, accumulated depreciation of $20,000, residual value of $3,000 and market value of $7,000 was sold for $6,000 in cash.

PLEASE TYPE LAST RESPONSE WASNT LEGIBLE

Write a function called tokenizeTelNum that inputs a telephone number as a string in the form (555) 555-5555. The function should use the function strok to extract the area code as a token, the first three digits of the phone number as a token and the last four digits of the phone number as a token. The seven digits of the phone number should be concatenated into one string. The function should convert the area code string to int and convert the phone number string to long. Both the area code and the phone number should be printed. This should be written in C and written as a FUNCTION named tokenizeTelNum that can be called later in main. You must input the telephone number from the user and use strok thank u

1. A shipping company offers various sized shipping boxes to its customers. Some of these boxes are cube-shaped, with equal height, width, and depth. As part of an upcoming sales promotion, the company will offer two cube-shaped boxes for the price of one.

a. Write an expression to represent the total volume of two different sized boxes as a sum of cubes if one of the boxes has sides with a length of 1 foot and the other has sides with a length of x feet.




b. Factor the sum of cubes.




c. Calculate the total volume of the two boxes if x = 3 feet.




2. A toy manufacturer is preparing to manufacture a puzzle cube in two different sizes. One of the puzzle cubes will have a side length of 4 centimeters, and the size of the other is yet to be determined.

a. Write an expression to represent the total volume of two different sized puzzle cubes as a sum of cubes, using m centimeters as the side lengths of the second puzzle.




b. Factor the sum of cubes.




c. Calculate the total volume of the two puzzle cubes if m = 5 centimeters.

3. A pet supply store is planning to offer cube-shaped fish tanks. The store manager decides to order one tank with a 12-inch side length but has not yet decided on the size of the other.

a. Write an expression to represent the total volume of two different sized tanks as a sum of cubes, using 2t centimeters as the length of the sides in the second tank.




b. Factor the sum of cubes.




c. Calculate the total volume of the two fish tanks if t = 7 inches.





4. Think of another real-world situation involving two different sized cube-shaped items.

a. Write a sentence to describe what the cubes represent and then write an expression to represent the total volume of the two items as a sum of cubes, using 2a to represent the side lengths in one cube and 3b to represent the side lengths in the other cube.




b. Factor the sum of cubes.




c. Choose two different values for a and b and use these values to calculate a specific total volume for the two items.

Zoe is testing to see if UCI students are more stressed out than the normal
person is. The mean stress level of the average person is 50 with a known
standard deviation of 10. Amy is going a two-tailed test with α = .10. The null
hypothesis is μ = 50. What precisely is μ the mean of?

The average UCI student commutes 6.3 miles to school, with a known standard
deviation of five miles. Amy believes that social science majors are different from
the average UCI student. She gets a sample of six social science majors and
asks them how far they commute. They answer 4, 13, 11, 7, 15, 10. Do a z-test
to see if Amy’s belief is true. Please calculate the z-statistic for this data.

Now, for the above question, state the critical value, and come to a conclusion
about Amy’s belief. Let α = .01. Make it a two-tailed test.

What is the p-value for the experiment in questions 13 and 14? Answer to
four digits past the decimal point, such as .3264.