Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here:

For example, Cabinetmaker 1 estimates it will take 47 hours to complete all the oak cabinets and 64 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours available for the final finishing operation. Thus, Cabinetmaker 1 can only complete 40/47 = 0.85,or 85%, of the oak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only complete 40/64 = 0.63, or 63%, of the cherry cabinets if it worked only on cherry cabinets.

Formulate a linear programming model that can be used to determine the percentage of the oak cabinets and the percentage of the cherry cabinets that should be given to each of the three cabinetmakers in order to minimize the total cost of completing both projects. If the constant is "1" it must be entered in the box.

Solve the model formulated in part (a). What percentage of the oak cabinets and what percentage of the cherry cabinets should be assigned to each cabinetmaker? If required, round your answers to three decimal places. If your answer is zero, enter "0".

What is the total cost of completing both projects? If required, round your answer to the nearest dollar.

Total Cost = $  

If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Explain.

because Cabinetmaker 1 has of  hours. Alternatively, the dual value is which means that adding one hour to this constraint will decrease total cost by $.

If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round your answers to three decimal places. If your answer is zero, enter "0". Use a minus sign to indicate the negative figure. Explain.

because Cabinetmaker 2 has a of  . Therefore, each additional hour of time for cabinetmaker 2 will reduce total cost by $  per hour, up to a maximum of hours.

Suppose Cabinetmaker 2 reduced its cost to $38 per hour. What effect would this change have on the optimal solution? If required, round your answers to three decimal places. If your answer is zero, enter "0".

What is the total cost of completing both projects? If required, round your answer to the nearest dollar.

Total Cost = $  

The change in Cabinetmaker 2’s cost per hour leads to changing objective function coefficients. This means that the linear program

The new optimal solution the one above but with a total cost of $  .

Isle Royale, the islands of Cape Hatteras National Seashore, Nantucket, California's Channel Islands, and Elliott Key in Biscayne National Park are all islands, but they all formed in different ways. Describe the different geological processes that created these different islands.

A random group of thirty customers at a local theater was interviewed regarding their movie viewing habits. The following responses were obtained for the question, “How many times during the past month did you go to the movies?” Number of movies attended 0 1 2 3 4 Number of customers 3 10 8 6 3 a. b. Find the probability that a customer selected at random went to the movies:

1) more than one time, 2) two times, 3) at least two times, 4) no more than three times.

The supply and demand for labor

For each event described below: (1) State whether the demand or the supply of labor will change, (2) Explain why the supply or demand for labor changed, (3) State what happens to the equilibrium wage and quantity of labor employed in the market. (4) Illustrate your answer with a graph. Assume that the market is perfectly competitive with a market wage of $20 per hour. Assume that each event occurs independently.

1. The demand for new housing increases as more people move into the community.
2. Changes in societal attitudes lead to more women wanting to work in construction.
3. Improved training makes construction workers more productive.
4. New technology allows much of the framing used in housing construction to be built by robots at a factory and then shipped to construction sites.
5. Construction workers unionize. The union is successful increasing wages above the equilibrium wage to $25 per hour.

The information in this question is based on the previous question except that ABC Co. borrowed $1,500,000 and not $3,000,000 specifically for the construction of the complex. The facts are: ABC Co. would like to construct a new office complex. On January 1, 2017 ABC Co. borrowed $1,500,000 at 10% payable annually to finance the construction of the new complex. During 2017, ABC Co. made the following expenditures directly related to the construction project: April 1, $400,000 July 1, $1,800,000 October 1, $2,000,000 December 31, $1,000,000 The construction was completed in March, 2018. There were other debts outstanding during 2017 as follows: 10-year, 12% note payable, dated January 1, 2015. $2,000,000 5 year, 8%, $4,000,000 bond payable, January 1, 2010, interest payable annually. Determine the amount of interest to be capitalized in 2017 for the construction project

XYZ Corp began construction on a building on January 1, 2016. On that date, it made its first $500,000 payment. An additional $600,000 were paid on 4/1/2016 and $300,000 was paid on 7/1/2016. A final payment of $100,000 was made on 12/31/2016, which is also the date when the construction project was finished and the building was ready to use.

To finance the project, XYZ Corp issued a $800,000 10% note. Furthermore, XYZ Corp had a $2,000,000 5% note outstanding that was not specifically related to the construction project. Both Notes were outstanding for the entire construction project.

What are the weighted average accumulated expenditures on the construction project?

How much interest should be capitalized during 2016?

What is the value of the Building on the 12/31/2016 Balance Sheet of XYZ Corp?

What is the interest expense that XYZ Corp records during 2016?

The fact that BE/A is greatest for A near 60 implies that the range of the nuclear force is about the diameter of such nuclides.

(a) Calculate the diameter of an A = 60 nucleus.
________ fm
(b) Calculate BE/A for ⁵⁶Fe and ¹⁰²Ru. The first is one of the most tightly bound nuclides, while the second is larger and less tightly bound.
⁵⁶Fe
________ MeV
¹⁰²Ru
________ MeV

Why is homelessness such an issue for San Francisco if it is an innovation hub?

San Francisco has been a technology innovation hot spot since the 1940s when William Shockley helped boost the economy through his invention of the transistor. This new technology was the seed that helped San Francisco's technology industry blossom into what it is today. As we learned from The New Geography of Jobs by Enrico Moretti, San Francisco is home to some of the biggest names in technology like, Google, Apple, Yahoo, Zynga, and Yelp. It is safe to assume that there is a significant amount of individuals with college degrees living and working here, so why is the homeless rate so high?

In 2019 San Francisco reported a population of 17,595 homeless people living in the city. This was a 30% surge since 2017 (Cowan, 2019). This is also likely to be an underestimate as calculating a homeless population is extremely difficult. One would think, if there are so many high skilled, high tech jobs, the multiplier effect would create a massive amount of lower skilled jobs. What might else might be leading to this high level of homelessness?

Prepare journal entries for capital projects fund and the government-wide governmental activities general journal for each of the following unrelated transactions. (The General Fund should not be used.) (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.)