You are a manager in a large manufacturing company. The board of directors has asked
you to find out why there has been a considerable drop in the number of items produced
in the last financial quarter.
Explain what you will do to find out the cause of the problem and recommend a solution
to the problem.

at least two ways of gathering
information and one valid approach to
problem solving

2) (10 point question) Many people love colorful and tasty tomatoes and an ambitious student in horticulture wants to breed such a tomato variety. He searched all the available tomato genetic resources, and found the two inbred lines he needed. One line produces the tomatoes with a colorful red-green-yellow mosaic pattern (rrTT), and the other strain is 'very tasty' (RRtt).

When the student crossed the two strains together, he made the following observations:

In the F1 generation, all the ripe tomatoes have a regular red color and a regular flavor. The student tasted tomatoes from over 40 individual plants, and was sick with regular tasting tomatoes.

In the F2 progeny, the student sampled 1000 tomato plants: 498 had red-color tomatoes with normal taste, 248 colorful tomatoes with normal taste, and 254 red-color tomatoes with great taste. He was disappointed not to find any colorful tomatoes with great taste. He then sampled another 2000 F2 plants: 998 had red-color tomatoes with normal taste, 511 colorful tomatoes with normal taste, 488 red-color tomatoes with great taste, and 3 colorful tomatoes with great taste; he was so happy to find what he wanted!!!

Based on these experimental results, he realized that the alleles he needs are recessive and the two genes are linked.  

C) (2 points) The tomato genome has now been sequenced and genes on the chromosome are in the following order OPQRSTU. The respective physical distances on the chromosome between these seven genes are very similar. But we now know that there is a 'cold spot' between genes RT and 'hot spots' between PQ and TU. Draw a representation of the genetic map relative to the physical map (both maps are needed here) for this part of the tomato genome. Show the relative (approximate) locations of the genes on the two maps.

D) (2 points) What can you predict about the chromosome chromatin structure between the R and T genes?

NPV. Miglietti Restaurants is looking at a project with the following forecasted​ sales: ​ first-year sales quantity of 33,000​,with an annual growth rate of 4.00​% over the next ten years. The sales price per unit will start at $44.00 and will grow at 2.00% per year. The production costs are expected to be 55​% of the current​ year's sales price. The manufacturing equipment to aid this project will have a total cost​ (including installation) of $2,200,000. It will be depreciated using​ MACRS, and has a​ seven-year MACRS life classification. Fixed costs will be $330,000 per year. Miglietti Restaurants has a tax rate of 38​%. What is the operating cash flow for this project over these ten​ years? Find the NPV of the project for Miglietti Restaurants if the manufacturing equipment can be sold for ​$140,000 at the end of the​ ten-year project and the cost of capital for this project is 7​%.

1: What is the operating cash flow for this project for the first five years of the​ 10-year period??

2: for the last five years of the​ 10-year period?

3: What is the book value?

4: Calculate the gain or loss at disposal of the manufacturing equipment.

5: What is the after-tax cash flow at disposal?

6: What is the net present value?

MACRS Fixed Annual Expense Percentages by Recovery Class:         

Let us divide the odd positive integers into two arithmetic progressions; the red numbers are 1, 5, 9, 13, 17, 21, ... The blue numbers are 3, 7, 11, 15, 19, 23,....

(a) Prove that the product of two red numbers is red, and that the product of two blue numbers is red.

(b) Prove that every blue number has a blue prime factor.

(c) Prove that there are infinitely many blue prime numbers. Hint: Follow Euclid’s proof, but multiply a list together, multiply the result by four, then subtract one.

1. (13pt) The U.S. Census Bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical areas. The following data are the rental vacancy rates in percentage (%) grouped by region for the last quarter of 2018 using a sample of 4 statistical metropolitan areas.

                                     Vacancy rates (%)

1. (10pt) You are hired as statistician to test whether there are any differences among the regions regarding vacancy rates and you should allow for 10% error.

2. (3pt) Do you think that the mean vacancy rate is the same for these regions? Why?

HW 1-6 (please explain) greatly confused

1. At a price of $50 a ticket, the local hockey team discovers that there are many empty seats. This is evidence that: A the current price should be raised. B a shortage exists at the current price. C the equilibrium price is higher than $50. D the current price is higher than the equilibrium price.

2. Larry, Curly, and Moe each like funny movies. The current movie costs $7. Larry values it at $12, Curly at $10, and Moe at $8. Suppose that if the government taxes books at $2 each, the selling price will rise to $9. A consequence of the tax is that A consumer surplus shrinks by $9 and tax revenues increase by $6, so there is a deadweight loss of $3. B consumer surplus shrinks by $6 and tax revenues increase by $6, so there is no deadweight loss. C consumer surplus shrinks by $5 and tax revenues increase by $6, so there is no deadweight loss. D consumer surplus shrinks by $5 and tax revenues increase by $4, so there is a deadweight loss of $1. E consumer surplus shrinks by $6 and tax revenues increase by $4, so there is a deadweight loss of $2.

3. Suppose that deforestation in Alaska has led to dangerously low numbers of Sitka spruce trees. Taylor guitars are made with solid Sitka spruce tops. Deforestation in Alaska will cause prices to and consumer surplus to in the market for Taylor guitars. A increase; increase B decrease; increase C increase; decrease D decrease; decrease

4. Consider a market characterized by the following supply and demand equations: P = 130 − 6QD P = 9 + 5QS The government imposes a price floor of $60 in this market. What are the equilibrium price and quantity? (Round to the nearest tenth if necessary.) A P=$60, Q=10.2 B P=$60, Q=11 C P=$60, Q=11.7 D P=$64, Q=10.2 E P=$64, Q=11

5. Harvey, Cleo, and Jack each like pet treats. The current treat costs $2. Harvey values it at $5, Cleo at $4, and Jack at $3. Suppose that if the government taxes treats at $1.50 each, the selling price will rise to $3.50. A consequence of the tax is that A consumer surplus shrinks by $4 and tax revenues increase by $3, so there is a deadweight loss of $1. B consumer surplus shrinks by $4 and tax revenues increase by $4, so there is no deadweight loss. C consumer surplus shrinks by $1.50 and tax revenues increase by $1.50, so there is no deadweight loss. D consumer surplus shrinks by $1.50 and tax revenues increase by $4.50, so there is a deadweight loss of $3. E consumer surplus shrinks by $4 and tax revenues increase by $6, so there is a deadweight loss of $2.

6. Supply and demand for Carolina basketball tickets can be characterized by the equations P = 21 + 11QS and P = 51 − 4QD. In equilibrium, consumer surplus is and producer surplus is . A) $18 ... $8 B) $15 ... $15 C) $43 ... $30 D) $8 ... $22 E) $16 ... $44

You have a market portfolio and the risk premium for holding it is 5% per year. rf = 5%. There are two new stock issues: A or B. A stock has a standard deviation of 40%, a beta of 0.5, and an expected return of 8.0%. B stock has a standard deviation of 30%, a beta of 1.0, and an expected return of 9.0%. If you can add at most one stock to your portfolio, which one do you choose?

A car insurance company has determined that 7% of all drivers were involved in a car accident last year. Among the 11 drivers living on one particular street, 3 were involved in a car accident last year. If 11 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? Group of answer choices 0.0317 0.0370 0.9683 0.481