The probability of winning a stake is $5. The chance of winning each stake is 50%. You plan to bet in increments of $5, $10, $20, $40, $80, $160 ($315 in total) for each consecutive loss. For each win, you start back at $5 and continue betting following the incremental bet scheme. This means you would need to win 64 times without losing 7 in a row. What is the probability of this happening?

A new office building has been constructed at a cost of $3,000,000. It is estimated to have a life of 50 years with a value at that time of $200,000. It will have maintenance costs of $10,000 per year. It will also have major repairs costing $80,000 that occur at years 10, 20, 30 and 40. It will have additional repairs at the end of year 25 costing $250,000. Determine the equivalent uniform annual cost if the rate of interest of the firm is 7%

A new office building has been constructed at a cost of $3,000,000. It is estimated to have a life of 50 years with a value at that time of $200,000. It will have maintenance costs of $10,000 per year. It will also have major repairs costing $80,000 that occur at years 10, 20, 30 and 40. It will have additional repairs at the end of year 25 costing $250,000. Determine the equivalent uniform annual cost if the rate of interest of the firm is 7%

Johnny C. has two divisions. East division sells a component (L689) to West division. West then assembles a product, CAGE, using L689 and sells it to customers. East division incurs $50 of variable cost per unit of L689 and allocates $80 of fixed cost to each unit. East’s factory has limited space, so every unit of L689 it produces means one less unit of L690 is made. While L689 is only sold to West division, East division sells L690 to outside customers for $150 per unit while incurring $40 in variable cost per unit. In addition to the cost of L689, West division incurs $90 in variable cost and $100 in allocated fixed cost to make each unit of CAGE, which sells for $502. If necessary, West could contract with an outside supplier for a slightly different part, M777, that costs $200 per unit and would require an additional $25 in cost to convert it into an equivalent of L689. It will be in the best interest of Johnny C for the transfer to occur.

a) What is the lowest transfer price that will ensure that both divisions will voluntarily participate in the transfer (ie, if the price was lower than this level, one of the divisions would refuse to participate)?

b) What is the highest price that ensures both divisions will voluntarily participate in the transfer (ie, if the price was higher than this level, one of the divisions would refuse to participate)?

c) The manager of Johnny C decides to impose a transfer price since the two divisions cannot agree. He chooses the highest feasible price. His reasoning is that selling for a high price is better for Johnny C's profit. Is the manager's reasoning sound? Explain why or why not. (Limit of 25 words.)

Students completed a high school senior level standardized algebra exam. Major for students was also recorded. Data in terms of percent correct is recorded below for 32 students. We are interested to see if there is any difference between students' high-school algebra test scores and subsequent declared college major.

These students have now also just completed the same college-level calculus class and received a grade. We are therefore now also interested to see if there is any relationship between the students' algebra test scores and their calculus course grades: On average, did students who tended to score higher on the high-school algebra test also finish the course with higher grades? Conveniently, only one student of each major received the same grade (see table - for example, there is only one Education major who received a grad of A).

Use the Microsoft Excel "Anova Single-Factor" Data Analysis tool to conduct a 2-way ANOVA test for the data in the following table:

1. What are your two null hypotheses in this study?
2. What are your two corresponding alternate hypotheses? Use the phrase "at least one" in each of your hypothesis statements.
3. What level of significance did you choose and why?
4. What are your F_crit values?

Fire Out Company manufactures its product, Vitadrink, through two manufacturing processes: Mixing and Packaging. All materials are entered at the beginning of each process. On October 1, 2020, inventories consisted of Raw Materials $26,100, Work in Process—Mixing $0, Work in Process—Packaging $253,100, and Finished Goods $292,600. The beginning inventory for Packaging consisted of 14,100 units that were 50% complete as to conversion costs and fully complete as to materials. During October, 51,000 units were started into production in the Mixing Department and the following transactions were completed. 1. Purchased $303,000 of raw materials on account. 2. Issued raw materials for production: Mixing $211,400 and Packaging $47,400. 3. Incurred labor costs of $285,200. 4. Used factory labor: Mixing $184,800 and Packaging $100,400. 5. Incurred $1,036,000 of manufacturing overhead on account. 6. Applied manufacturing overhead on the basis of $25 per machine hour. Machine hours were 32,300 in Mixing and 7,900 in Packaging. 7. Transferred 49,300 units from Mixing to Packaging at a cost of $982,900. 8. Transferred 54,000 units from Packaging to Finished Goods at a cost of $1,320,000. 9. Sold goods costing $1,643,000 for $2,502,000 on account. Journalize the October transactions. (Credit account titles are automatically indented when amount is entered. Do not indent manually.) No. Account Titles and Explanation Debit Credit 1. 2. 3. 4. 5. 6. 7. 8. 9. (To record the sale) (To record the cost of goods sold)?

MCParts, an MRO (maintenance, repair, and operations) distributor, sources three of its products from three different suppliers in the Atlanta region. These three products serve the same basic function but have varying features, and hence different demand profiles. Demand for the fastest selling product (product 1) is 24,000 units a year, demand for the medium selling product (product 2) is 9,000 units per year, and demand for the slowest moving product (product 3) is 3,000 units per year. Product 1 costs $200 to MCParts to purchase, with a holding cost of 25%; product 2 costs $220 to purchase, with a holding cost of 30%; product 3 costs $250 to purchase, with a holding cost of 40%. Each shipment costs $500 for the truck plus $250 per pickup due to processing and handling. Each truck has a capacity of 1500 of these products.

Currently, MCParts uses full truckload (FTL) transportation to source separately from each supplier, but they are considering two alternatives to reduce inventory costs: i. use optimal lot sizes for each product instead of full truckload shipments,

ii. aggregate sourcing on a single truck, via supplier runs.

A. What is the annual transportation and holding cost of sourcing a full truckload from each supplier in each order?

B. What is the optimal order quantity of each product, sourced separately from each supplier? What is the annual transportation and holding cost of this policy? Comment on why this policy saves from inventory costs when compared to full truckload policy in part (A).

C. What is the optimal order quantity for each product if MCParts aggregates shipments from the three suppliers on every truck that arrives from Atlanta? What is the annual transportation and holding cost of this policy? Comment on why this policy saves from inventory costs when compared to separate shipments policy in part (B).

D. Using the steps described in slides, develop a tailored aggregation policy that does not necessarily pickup all products in every supplier run. Describe the tailored policy and calculate its annual transportation and holding cost. Comment on why this policy was not as effective as the complete aggregation approach in part (C).

3a. Assume that you pay $1,020 for a one-year coupon bond with a face value of $1,000 and a coupon payment of $50. Calculate the coupon rate, the yield to maturity and the current yield.

b. Assume that you pay $1,250 for a consol that has a coupon payment of $50. What is the yield to maturity? What is the current yield?

c. Assume that you hold the consol in part b for one year. When you sell it, the interest rate is equal to 4.1%. What is your rate of return?

d. Assume that you have a one-year coupon bond with a face value of $1,000 and a coupon payment of $50. What is the price of the bond if the yield to maturity is 6%?

e. Assume that you have the same bond is in part d, except instead of paying one annual payment of $50, the bond pays two semi-annual payments of $25 (one six months from now and another payment in twelve months). What is the price of this bond if the yield to maturity is 6%?

f. Use the approximation formula to calculate the yield to maturity for a ten year bond that has a coupon payment of $20, a face value of $1,000 and a price of $1,040.

g. Calculate the yield to maturity of a six-month zero coupon bond that has a price of $990 and a face value of $1,000.

1. Here are the annual numbers of deaths from tornadoes in the United States from 1998 through 2011:

130    94    40    35    550    54    35    38    67    91    125    21    45    544

Find these statistics(i.e., show the formula and show your work):

a) mean

b) median and quartiles

c) range and IQR

Typed answer please.