Results obtained from a tension test on a bar of uniform cross section 10 mm x 10 mm subjected to an axial pull of 8000 N were tabulated. The lateral dimensions of the bar were found to be changed to 9.9985 mm x 9.9985 mm while using a material having modulus of rigidity equal to 0.8 x 107 N/cm2. By determining the values for different moduli, identify the properties of material and establish the relationship between them. What changes will happen to the volume if the length of the bar is equal to 2.5 m? Based on the results obtained discuss how the elastic constants are related to the deformation of the bar?
In: Civil Engineering
In: Civil Engineering
Results obtained from a tension test on a bar of uniform cross
section 10 mm x 10 mm
subjected to an axial pull of 8000 N were tabulated. The lateral
dimensions of the bar were found
to be changed to 9.9985 mm x 9.9985 mm while using a material
having modulus of rigidity equal
to 0.8 x 107 N/cm2. By determining the values for different moduli,
identify the properties of
material and establish the relationship between them. What changes
will happen to the volume if
the length of the bar is equal to 2.5 m? Based on the results
obtained discuss how the elastic
constants are related to the deformation of the bar?
In: Civil Engineering
Results obtained from a tension test on a bar of uniform cross section 10 mm x 10 mm subjected to an axial pull of 8000 N were tabulated. The lateral dimensions of the bar were found to be changed to 9.9985 mm x 9.9985 mm while using a material having modulus of rigidity equal to 0.8 x 107 N/cm2. By determining the values for different moduli, identify the properties of material and establish the relationship between them. What changes will happen to the volume if the length of the bar is equal to 2.5 m? Based on the results obtained discuss how the elastic constants are related to the deformation of the bar?
In: Civil Engineering
Assume that GDP (Y) is 10,000. Consumption (C) is given by the equation C = 500 + 0.8(Y – T). Investment (I) is given by the equation I = 2,000 – 50r, where r is the real rate of interest in percent. Taxes (T) are 500 and government spending (G) is also 500. a. What are the equilibrium values of C, I, and r? (Show your work) (4.5 marks) b. What are the values of private saving, public saving, and national saving? (Show your work) (1.5 marks) c. If government spending rises to 1,000, what are the new equilibrium values of C, I, and r? (Show your work)
In: Economics
The chefs at a local pizza chain, strive to maintain the suggested size of their 16-inch pizzas. Despite their best efforts, they are unable to make every pizza exactly 16 inches in diameter. The manager has determined that the size of the pizzas is normally distributed with a mean of 16 inches and a standard deviation of 0.8 inch.
a. What are the expected value and the standard error of the sample mean derived from a random sample of 2 pizzas?
b. What are the expected value and the standard error of the sample mean derived from a random sample of 4 pizzas?
c. Compare the expected value and the standard error of the sample mean with those of an individual pizza.
In: Math
SIU is a university in the UK catering for international students. There are currently 950 students. Fees were £16,000 for the last year and the president is concerned that adverse changes in the economic and educational environment are threatening the university’s future. The income of the market is expected to decline next year by 2%, and it is also expected that the average fee of competitive institutions will fall from £14,000 to £12,000. 10% of revenue is currently spent on promotion. The president does some research and estimates that the relevant demand elasticities are as follows:
PED = -1.6, YED = 2.2, AED = 1.8, CED = 0.8.
In: Economics
SIU is a university in the UK catering for international students. There are currently 950 students. Fees were £16,000 for the last year and the president is concerned that adverse changes in the economic and educational environment are threatening the university’s future. The income of the market is expected to decline next year by 2%, and it is also expected that the average fee of competitive institutions will fall from £14,000 to £12,000. 10% of revenue is currently spent on promotion. The president does some research and estimates that the relevant demand elasticities are as follows:
PED = -1.6, YED = 2.2, AED = 1.8, CED = 0.8.
In: Economics
There is an old drug for a certain disease. The cure rate of the old drug (the proportion of patients cured) is 0.8.
Pharma Co has developed a new drug for this disease. The company is conducting a small field trial (trial with real patients) of the new drug and the old drug. Assume that patient outcomes are independent. Also, assume the probability that any one patient will be cured when they take the drug is p. For the old drug, p = 0.8. The random variable X is the number of patients who are cured when the drug is given to n patients.
A. The old drug is given to 16 randomly-chosen patients. What is the expected number of patients who will be cured? One decimal.
B. The old drug is given to 16 randomly-chosen patients. What is the probability that all 16 will be cured? Four decimals.
C. Pharma Co thinks the answer to the previous question is too big. They want the probability that all of the patients will be cured to be less than 0.01. (We mean “all of the patients who get the old drug in the field trial”.) What is the smallest number of patients that Pharma Co must give the old drug to? HINT: You can do this either by trial and error (increasing n above 16), or by setting up an inequality with n as an unknown, and taking the natural logarithm of it to solve for n. Integer.
D. Alternatively, suppose Pharma Co uses a sample size of 35. The old drug is given to 35 randomly-chosen patients. What is the probability that all 35 will be cured? Four decimals.
E. Pharma Co thinks the answer to the previous question is too small! They want P(X a) 0.01 , and they want the smallest value of “a” where P(X a) 0.01. In other words, they don’t necessarily want to use a = 35. What about a = 34? Is P(X 34) 0.01? Is P(X 33) 0.01. Find the smallest value of “a” where P(X a) 0.01. NOTE: We are not changing n. We are still giving the old drug to 35 patients. We are just calculating P(X a), when n = 35 and p = 0.8, for different values of “a”, to find the value of “a” that we want. Integer.
F. For the new drug, p = 0.95. Go back to your answer to the third question in this set (“smallest number of patients …”). Suppose Pharma Co gives the new drug to this many patients. What is the probability they all will be cured? Four decimals.
G. Go back to your answer to the question E in this set (“find the smallest value of a where …”). Use the value of “a” that you calculated in that question. What is P(X ≥≥ a) if the new drug (p = 0.95) is given to 35 patients? Four decimals
In: Statistics and Probability
Rural County has a population of 15,000, a small primary care
hospital, and ten
physicians, including seven general and family practitioners, an
obstetrician, a pediatrician,
and a general surgeon. All the physicians are solo practitioners.
The nearest urban area is
about 60 miles away in Big City, which has a population of 300,000,
and three major
hospitals to which patients from Rural County are referred or
transferred for higher levels
of hospital care. However, Big City is too far away for most
residents of Rural County to
use for services available in Rural County.
Insurance Company, which operates throughout the state, is
attempting to offer
“managed care” programs in all areas of the state, and has asked
the local physicians in
Rural County to form an IPA to provide services under the program
to covered persons
living in the county. No other managed care plan has attempted to
enter the county
previously.
Initially, two of the general practitioners and two of the
specialists express interest in
forming a network, but Insurance Company says that it intends to
market its plan to the
larger local employers, who need broader geographic and specialty
coverage for their
employees. Consequently, Insurance Company needs more of the local
general practitioners
and the one remaining specialist in the IPA in order to provide
adequate geographic,
specialty, and backup coverage to subscribers in Rural County.
Eventually, four of the
seven general practitioners and the one remaining specialist join
the IPA and agree to
provide services to Insurance Company’s subscribers under contracts
providing for
capitation. While the physicians’ participation in the IPA is
structured to be nonexclusive,
no other managed care plan has yet entered the local market or
approached any of the
physicians about joining a different provider panel. In discussing
the formation of the IPA
with the Insurance Company, a number of the physicians have made
clear their intention
to continue to practice outside the IPA and have indicated they
would be interested in
contracting individually with other managed care plans when those
plans expand into Rural
County. Insurance Company requests your legal advice about whether
this network
formation is likely to be challenged by the federal government.
Discuss whether the network described in the Problem would likely be challenged by the federal government.
Why? On what legal basis?
What would be your response to a challenge?
Would factors increase or decrease your changes of a federal challenge?
In: Operations Management