Big Retailer (BR) follows a moderate current asset investment policy, but is now considering a change, perhaps to a restricted or maybe to a relaxed policy. BR’s annual sales are $1,400,000; its fixed assets are $950,000; its target capital structure calls for 40% debt and 60% equity; its EBIT is $500,000; the interest rate on debt is 8%; and its tax rate is 20%. With a restricted policy, current assets will be 20% of sales, while under a relaxed policy, current assets will be 35% of sales. What is the difference in the projected ROEs between the restricted and relaxed policies?

Whitson Co. is looking for ways to shorten its cash conversion cycle. It has annual sales of $45,625,000, or $125,000 a day on a 365-day basis. The firm's cost of goods sold is 65% of sales. On average, the company has $7,500,000 in inventory, $5,750,000 in accounts receivable, and $2,750,000 in accounts payable. Its CFO has proposed new policies that would result in a 25% reduction in both average inventories and accounts receivable, and a 10% increase in average accounts payable. She also anticipates that these policies would reduce sales by 5%. What effect would these policies have on the company's cash conversion cycle?

Solve the congruence: 1287x ≡ 447 (mod 516)

Please explain what we mean by Time Complexity and Space Complexity. Please provide a short survey of Complexity classes.

Suppose we use the ElGamal signature scheme with p = 65539, ?=2,?=33384. We send signed messages (m, r, s): (809, 18357, 1042) = hi and (22505, 18357, 26272) = bye. (a). Show that the same value of k was used for each signature. (b). Use this fact to find this value of k and to find the value of “a” such that ?≡?? (??? ?).

Make up a Bayes example from DAILY life(Create your own exaample)

First write question and analyze your question.

Explain the differences between conditional probabilities;explain the meaning of those conditional probabilities.

You may assign probabilities to events in the question or may use historical observations for empirical probabilities.

PharmaPlus operates a chain of 30 pharmacies. The pharmacies are staffed by licensed pharmacists and pharmacy technicians. The company currently employs 100 full-time-equivalent pharmacists (combination of full time and part time) and 175 full-time-equivalent technicians. Each spring management reviews current staffing levels and makes hiring plans for the year. A recent forecast of the prescription load for the next year shows that at least 280 full-time-equivalent employees (pharmacists and technicians) will be required to staff the pharmacies. The personnel department expects 10 pharmacists and 30 technicians to leave over the next year. To accommodate the expected attrition and prepare for future growth, management states that at least 15 new pharmacists must be hired. In addition, PharmaPlus’s new service quality guidelines specify no more than two technicians per licensed pharmacist. The average salary for licensed pharmacists is $35 per hour and the average salary for technicians is $15 per hour.

1. Determine a minimum-cost staffing plan for PharmaPlus. How many pharmacists and technicians are needed

1. Let P	=	number of full-time equivalent pharmacists
   T	=	number of full-time equivalent technicians

Min or Max ___P+____T

____P+____T _____ (less than or equal to, greater than or equal to, equal) ____ Full-time -equivalent employees_

____P- ____T _____ (less than or equal to, greater than or equal to, equal) ____ Quality Guideline

____P ____ (less than or equal to, greater than or equal to, equal) ____ Number of pharmacists

The optimal solution requires ____ full-time equivalent pharmacists and ____ full-time equivalent technicians. The total cost is $ ____ per hour.

b. Given current staffing levels and expected attrition, how many new hires (if any) must be made to reach the level recommended in part (a)?

What will be the impact on the payroll?

The payroll cost will ____ by $ ____ per hour.

Hello!

If possible can you please teach me in excel formulas?

Thank you!

Autumn

1. If Indiana stayed the same size in area, but had the same population density as Alaska, how many people would we expect to live in Indiana? How does this compare to the actual population of Indiana?

2. If Alaska stayed the same size in area, but had the same population density of Illinois, how many people would you expect to live in Alaska? How does this compare the Alaska’s actual population?

3. If France had the same ratio of museums to population as the US, what would you expect France to have as the total museums in their country?

3. In this section we have said that the Richter scale and other logarithmic scales are compressed. Explain in a way that a fellow student could understand what is meant by a compressed scale, and use a couple of examples to show how the compression works in practice.

Numerical Analysis:

Make a matlab code that computes the Midpoint rule/method for a given function f'(t,y) = y' =  t + y from 0 < t < 4 (inclusive) with h=0.5 and with initial condition y(0) = 0.
Please make output display in tabular form and not in a plot, that doesn't help show the actual values.

Solve the following non-monic quadratic problems:

a) Rick's driving speed was measured over a 10.minute period and the following relationship was found to exist: s = -4t² + 31t, what s is the speed in kilometres per hour after t minutes. When was Rick travelling at 60 km/h?

b) The temperature inside a tent was measured over a period of time and the following quadratic relationship was found to exist: T = -2h² + 11h + 21, where T is the temperature in degrees Celsius after h hours. When was the temperature 0 degrees and when was the temperature 26 degrees?

c) A tourist, high above the ground enjoying the sights from a hot-air balloon, unfortunately drops a camera and watches it fall to the ground. The height of the camera above the ground , h (in metres) t seconds after it has been dropped can be represented by the relationship: h = -5t² + 192. At what height above the ground was the camera dropped and how long does it take for the camera to fall to the ground?

d) A policeman on a motorbike is following a car along a highway. After a short time, the driver of the car notices the policeman and starts to slow down, finally stopping on the side of the road. The speed of the car during this time can be represented by the quadratic function S = -3t² + 17t + 70, where S is the speed of the car in kilometres per hour, t minutes after the policeman started following. Calculate how long the car was under surveillance for until it stopped and figure out if during this time, did the driver break the speed limit of 100km/h?

e) Hayden's owners are going to build a dog kennel for him. It will be 1m high and twice as long as it is wide, and it will have an opening at one end. The opening has an area of 0.5m². When they are finished, they are going to paint the outside of it, including the base of the kennel, to keep it waterproof. Write an algebraic expression for the area of the kennel that is to be painted.

(a) Design an algorithm that reveals some secret integer number from the set {1, 2, ... , n} by guessing random numbers within the given range until the secret number has been guessed. Numbers should be replaced after being guessed such that ​it is possible to guess 2 and then 2 again​, assuming 2 is in the given range. The algorithm should return both the secret number as well as the number of guesses taken.

(b) If possible, calculate the tightest Big-​O​ approximation for the average runtime complexity of the algorithm from part (a). If it is not possible, explain why not. Note: assume that choosing a random number takes ​O(1)​ time.

(c) If possible, calculate the tightest Big-​O​ approximation for the worst case runtime complexity of the algorithm from part (a). If it is not possible, explain why not. Note: assume that choosing a random number takes ​O(1)​ time.

(d) In a single run, is it possible that of the algorithm from part (a) finds the secret number in fewer guesses than a standard binary search algorithm? If so, please provide a concrete example of one such situation.

A device consists of 100 independent modules of equal functionality. Zk is the event that the kth group works reliably. a) What is the probability that the device will work reliably at P (Zk) = 99%?

There are four independently operating machines in a hall, which do not fail within a certain period of time with the probabilities 0.9, 0.95, 0.8 and 0.85, respectively. Calculate the probability that in this period a) all four machines work b) no machine works c) exactly one machine works d) exactly two machines work e) exactly three machines work f) at least one machine works