Create an array of 10,000 elements, use sorted, near sorted, and unsorted arrays. Implement find the kth smallest item in an array. Use the first item as the pivot. Compare sets of results using a static call counter. Reset counter before running another search. Create a Test drive to exhaustively test the program.

// Assume all values in S are unique.

kSmall(int [] S, int k): int (value of k-smallest element)

pivot = arbitrary element from S:  let’s use the first element.

S1 = < all elements from S less than pivot > // these two steps will require some thought

S2 = < all elements from S greater than pivot > //  and need to be implemented

if k <= S1.length

    return kSmall(S1, k)

else if k == S1.length + 1

    return pivot

else

    return kSmall(S2, k – S1.length – 1)

The Yum and Yee food truck near the business school serves customers during lunch hour by taking orders and making fresh batches of stir-fry. Customers have only one choice during the lunch hour so that Y&Y can maximize the number of customers served. Assume that each customer places just one lunch order, and all lunch orders are the same size: one unit of stir-fry. The stir-fry cooking works in this manner. First, one person cooks a batch of orders in a wok. The cooking depends upon the number of orders in the batch. The time to cook just one order is 3.4 minutes. For each additional order in the batch, it takes 0.4 minute more to cook. Thus, cooking two orders in a batch takes 3.8 minutes, cooking three orders takes 4.2 minutes, and so on. The other process is bagging and accepting payments (done by a separate person), which takes 0.7 minute per order.

a.What is the Setup time

b.If Y&Y operates with bath sizes of 7 units, what is their process capacity (in orders per minute)?

c.If Yum an Yee operates with batch sizes of 12 units, what is the utilization of the wok?

d. Calculate the batch size (in orders) that maximizes the overall flow rat (assume there is ample demand)? Do NOT round the batch size (i.e., assume for this calculation that a noninteger batch size is possible.

The Yum and Yee food truck near the business school serves customers during lunch hour by taking orders and making fresh batches of stir-fry. Customers have only one choice during the lunch hour so that Y&Y can maximize the number of customers served. Assume that each customer places just one lunch order, and all lunch orders are the same size: one unit of stir-fry. The stir-fry cooking works in this manner. First, one person cooks a batch of orders in a wok. The cooking depends upon the number of orders in the batch. The time to cook just one order is 3 minutes. For each additional order in the batch, it takes 0.5 minute more to cook. Thus, cooking two orders in a batch takes 3.5 minutes, cooking three orders takes 4 minutes, and so on. The other process is bagging and accepting payments (done by a separate person), which takes 0.80 minute per order.

a. What is the setup time of this process?

b. If Y&Y operates with batch sizes of 6 units, what is their process capacity (in orders per minute)?

c. If Yum and Yee operates with sizes of 10 units, what is the utilization of the work (assume there is sample demand)?

d. Calculate the batch size (in orders) that maximizes the overall flow rate (assume these is sample demand)?

The Yum and Yee food truck near the business school serves customers during lunch hour by taking orders and making fresh batches of stir fry. Customers have only one choice during the lunch hour, since the objective is to maximize the number of customers served. Assume that each customer places just one lunch order, and all lunch orders are the same size –one unit of stir-fry. The stir fry cooking works in this manner. First, a batch of orders is cooked in a wok by one person. The cooking depends upon the number of orders in the batch. The time to cook just one order is 3 minutes. For each additional order in the batch, it takes 0.5 minutes more to cook. Thus, cooking two orders in a batch takes 3.5 minutes, cooking three orders takes 4 minutes, and so on. The other activity is bagging and accepting payments (done by a separate person), which takes 0.80 minutes per order.

If Yum and Yee operates with batch sizes of 9 units, what is their process capacity (in orders per miute)?

Low concentrations of Ni-EDTA near the detection limit gave the following counts in a mass spectral measurement: 184, 148, 148, 148, 136, 170., 196, 152, 156, 175. Ten measurements of a blank had a mean of 45 counts. A sample containing 1.00 µM Ni-EDTA gave 1797 counts.

(a) Find the mean.
___ counts

(b) Find the standard deviation.
___ counts

(c) Estimate the detection limit for Ni-EDTA.
___ counts
___ M

Near the equator, the Sun is approximately straight overhead at noon, and around 1000 W/m2 solar irradiance reaches Earth. Around this time of day, assuming ambient temperature of 40C, and a 10m x 10m x 2m-tall greenhouse with ¼”-thick glass walls that reflect away 20% of the incoming sunlight, and only thinking of conductive losses, estimate the maximum temperature reached in the interior of the greenhouse. Hint: when are losses and sources balanced?

glass conductivity is 1.05 W/(m k)

Thirty small communities in Connecticut (population near 10,000 each) gave an average of x = 138.5 reported cases of larceny per year. Assume that σ is known to be 40.9 cases per year.

(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

(c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)

The following transactions involving intangible assets of Francis Corporation occurred on or near December 31, 2020. Prepare the journal entry(ies) needed at that date to record the transaction, and at December 31, 2021 to record any resultant amortization. If no entry is required at a particular date, write "None needed."

1) Francis paid Jericho Company $ 200,000 for the exclusive right to market a particular product, using the Jericho name and logo in promotional material. The franchise runs for as long as Francis is in business. Francis decided to amortize the franchise over 25 years.

2) Francis spent $ 300,000 developing a new manufacturing process and has applied for a patent. It believes that its application will be successful and that the process will be successfully implemented and used for 10 years.

3) Francis spent $ 300,000 developing a new manufacturing process and has applied for a patent. It believes that its application will be successful and that the process will be successfully implemented and used for 10 years.

4) Francis incurred $ 90,000 in successfully defending another of its patents in an infringement suit. The patent expires during December 2024.

5) Francis incurred $ 200,000 in an unsuccessful patent defence. As a result of the adverse verdict, the patent, with a remaining unamortized cost of $ 99,000, is deemed worthless.

6) Francis paid Mexico Laboratories $ 52,000 for research work performed by Mexico under contract for Francis.

Three former college classmates decided to open a store near campus to sell wireless equipment to students. They created a public company, The Wire, and issued stock to interested investors. They plan on creating monthly financial statements.

Several transactions occurred in March. Each is described separately in this folder. For each transaction, indicate the accounts for The Wire that are affected, whether they increase or decrease, and the amount of the increase or decrease.

When you record the dollar amounts, be sure to use a minus sign to indicate a decrease in the account.

ACCOUNT OPTIONS:

Transaction 1: On March 1, the three classmates opened a checking account for The Wire at a local bank. They each deposited $25,000 in exchange for shares of stock. A few of their friends also purchased stock totaling $12,000 that was deposited in The Wire account.

Transaction 2: The company quickly acquired $38,000 in inventory, 60% of which was acquired on open accounts that were payable after 30 days. The rest was paid for in cash.

Transaction 3: A one-year store rental lease was signed on March 1 for $12,000 for the year, and rent for the first 3 months was paid in advance. [Note: Record the complete entry for the March 1 transaction first and the complete adjusting entry on March 31 second.]

Transaction 4: The owners paid $3,000 for website advertising. They were able to get a good deal because one of the company's owners also owns stock in the website company. The owners also paid $5,000 for some advertising in local newspapers. [Note: Combine both transactions into one entry].

Transaction 5: Sales were $60,000. Cost of merchandise sold was 50% of its sales price. 35% of the sales were for cash. [Note: Record the complete entry for the sales first and the complete entry for the expenses second]

Transaction 6: Wages and salaries in March were $11,200, of which $8,800 was actually paid to employees.

Transaction 7: Miscellaneous expenses were $2,000, all paid for with cash

Transaction 8: On March 1, fixtures and equipment were purchased for $5,000 with a downpayment of $1,000 and a $4,000 note, payable in one year. Interest of 6.5% per year was due when the note was repaid. The estimated life of the fixtures and equipment is 11 years with no expected salvage value. [Note:Record the complete entry for the March 1 equipment purchase first, the March 31 depreciation adjusting entry second, and the March 31 interest adjusting entry third. Also, round all answers to the nearest cent.]