During a column chromatography laboratory experiment, a column is to be run with hexane first, then a hexane/ dichloromethane mixture, then 100% dichloromethane. What will happen if you mix up the hexane and dichloromethane? How can you fix the problem?

The life, in years, of a certain type of electrical switch has an exponential distribution with an average life 2 years. If 100 of these switches are installed in different systems, what is the probability that at most 2 fail during the first year?

An investor purchased a 3 year annual coupon bond one year ago. Its PAR value is $1,000 and coupon rate is 6%, paid annually. At the time you purchased the bond, its yield to maturity was 6.5%. The investor sells the bond now after receiving the first coupon payment.
(a) What is the annual Realised Compound Yield (RCY) from holding the bond for 1 year if the yield to maturity remains at 6.5%?
(b) What if the yield to maturity becomes 6.0% when the investors sells the bond?
(c) DC is attempting to construct a bond portfolio with a Macaulay duration of 9 years. He has $1,000,000 to invest and is considering allocating it between two zero coupon bonds. The first zero coupon bond is exactly 6 years, and the second zero coupon bond is exactly 16 years. Both of these bonds are currently offering at a market price of $100. If the yield curve is flat at 7.5%, duration will remain unchanged. Is it possible for DC to construct a bond portfolio having a duration of 9 years using these two types of zero coupon bonds? If possible, how? (Describe the actual portfolio on your working.) If not, why not?

Two oligopolies (Firm A and Firm B) have access to the same the same technology and have similar costs. FC = 0 MC = AVC = ATC = $100 Assume the demand of the product is given below: P=1000-Q Remember Q= q_A+ q_B Where q_(A ) is production by firm A and q_B-is production by firm B c) Now assume that the firms compete by setting quantities and they both move at the same time. Assume that the reaction functions for Firm A and B are given below. qa=450-.5qb reaction function firm AbPPposarQtS4PrK0P6AsfNa5J0CBpuMSTmpTMCGY qa=900-2qb reaction function firm BT79B8Hf9vkAAAAAASUVORK5CYII= i. Obtain the Nash-Cournot equilibrium and illustrate it in a diagram ii. Obtain the price of this product under these conditions iii. Obtain the profits of each firm. d) Now assume firm B is going to move first. Assume that once firm B moves, firm A will respond using their reaction function. i. Obtain qa and qb. ii Obtain the P of the market. iii Obtain economic profit of firm A and firm B iv. Who has the advantage the first mover or the second mover?

The Mechanical Engineering department has a student team that is designing a formula car for national competition. The time required for the team to assemble the first car is 100 hours. Their improvement (or learning rate) is 0.80 , which means that as output is doubled, their time to assemble a car is reduced by 20 %. Use this information to determine: a) The time it will take the team to assemble the 10th car b) The total time required to assemble the first 10 cars c) The estimated cumulative average assembly time for the first 10 cars Solve by hand and by spreadsheet.

Moving to a small town, you get a job as a business analyst for ABC Coffee, which happens to operate the only caffe in town. The demand for ABC's coffee is given as: Q : 100 - P, where P is the price (in cents) charged by ABC for a cup of coffee and Q is the quantity sold per day (i.e., cups per day). Furthermore, suppose total fixed cost encountered by ABC is zero, and marginal cost (MC) equals average variable cost (AVC), with both constant at 20 cents (i.e., MC : AVC :20 at all output levels). Lastly, given the demand for ABC's coffee, its marginal revenue is given by the following equation: MR : 100 - 2Q

l2l Interested in maximizing ABC's profit, you should recommend thatABC price its coffee at_cents per cup.

A. 20

B. 40

c. 60

D. 100

The option writer in Example 1.6.6 sells a digital option to a speculator. This amounts to a bet that the asset price will go up. The payoff is a fixed amount of cash if the exchange rate goes to $165 per £100, and nothing if it goes down. If the speculator pays $10 for this bet, what cash payout should the option writer be willing to write into the option? You may assume that interest rates are zero.

(Example 1.6.6 -Suppose that in the US dollar markets the current Sterling
exchange rate is 1.5 (so that £100 costs $150). Consider a European call option that
offers the holder the right to buy £100 for $150 at time T . The riskless borrowing
rate in the UK is u and that in the US is r . Assuming a single period binary model in
which the exchange rate at the expiry time is either 1.65 or 1.45, find the fair price
of this option.)

Suppose x has a distribution with a mean of 70 and a standard deviation of 51. Random samples of size n = 36 are drawn.

(a) Describe the  distribution.

has a binomial distribution.

has an approximately normal distribution.  

  has a geometric distribution.

has a normal distribution.

has an unknown distribution.

has a Poisson distribution.

(b) Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)

=

=

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 41 farming regions gave a sample mean of  = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.90 per 100 pounds.

(a) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.25 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.)

__ farming regions

Helix Corporation uses the weighted average method in its process costing system. It procuces prefabricated flooring in a series of steps caried out in production departments. All of the material that is used in the first production department is added at the beginning of processin in that department. Data for May for the first production department is added at the beginning of production deparment follow:   

Percent Complete

Units Materials Conversion

Work in Porcess inventory May 1 51,000 100% 50%

Work in Process inventory May 31 31,000 100% 30%

Materials Cost in work in Process inventory May 1 $45,000

Conversion cost in work in process inventory May 1 $11,800

Units started into production 242,400

Units transferred to the next production department 262,400

Materials cost added during May $43,020

Conversion cost added during May $170,239

1. Calculate the first production deparment's equivalent units of production for materials and conversion for May

2. Compute the first production deparment's cost per equivalent unit for materials and conversion for May.

3. Compute the first production department's cost of ending work in process inventory for materials, conversion and in total for May

4. Compute the first production deparment's cost of the units transferred to the next production department for materials, conversion and in total for May

If you could please show as much clear detail about the calculations as possible:)

Thank you!

Helix Corporation produces prefabricated flooring in a series of steps carried out in production departments. All of the material that is used in the first production department is added at the beginning of processing in that department. Data for May for the first production department follow: Percent Complete Units Materials Conversion Work in process inventory, May 1 5,000 100 % 40 % Work in process inventory, May 31 10,000 100 % 30 % Materials cost in work in process inventory, May 1 $ 1,500 Conversion cost in work in process inventory, May 1 $ 4,000 Units started into production 180,000 Units transferred to the next production department 175,000 Materials cost added during May $ 54,000 Conversion cost added during May $ 352,000