3 A firm is organized as a 2person partnership Each worke.pdf

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3. A firm is organized as a 2-person partnership. Each worker has a time endowment T=24. Time can be spent either as leisure (x) or effort (e). The firm's profit function is y=3(e1+e2), where ei denotes Partner i 's effort. Partner i 's utility function is given by u=xiyi, where yi denotes his income.Suppose the firm in Problem 3 is organized as an owner and an employee. Both workers still contribute to the production of the firm, but Worker 1 is the owner and Worker 2 the employee. The owner offers the following contract to the employee: "You must exert units of effort, and you will be paid y^. If you choose any other level of effort you will be paid nothing." The owner incurs a cost of 12 for monitoring the employee's effort. What will be the value of e^ and y^ in the contract? You can assume that half of the monitoring cost is subtracted from each worker's income. What will be each person's leisure, effort, income and utility?.

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3. Caesar Cipher (1) You are given a message halloween and a key 4, please encrypt it with Caesar Cipher and show the Ciphertext. Note: We normally use lower case letters to represent plaintext and capital letters to represent ciphertext. (2) Suppose that you have intercepted a message encrypted using Caesar cipher. The ciphertext is OQTPKPI. Please find the key using the brute-force method, and show the plaintext.. Hint: You can convert the letters to the numbers like A>1,B>2,Z>26, then try to subtract each number in the ciphertext by the key value ( k=1,2.).F oreachresult, convert the numbers into letter and check whether it is a meaningful word or sentence..

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3) Bob and Kelly are business partners at the firm of Dewey Cheatham and Howe. They purchased a fishing cabin together on the St. Lawrence river. Each contributed $150,000 . Toward the price of $300,000 After they owned the property for ten years Bob passed away . The cabin was valued at 500,000 on the date of bobs death . What is included in Bob's estate? What if they are father and daughter and Bob makes 3x the money that Kelly makes ?.

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3. A tropical fish fancier produced an albino zebra fish. It lacked blue stripes characteristic of the normal zebra fish. When she crossed a normal zebra fish to the albino, all the offspring were normal. When she crossed two of the normal F1 offspring, X were albino and 1/4 were normal. When an albino was crossed to the normal offspring, half were albino and half were normal. What is the genotype and phenotype of each fish mentioned in this problem? 4. In pea plants, the appearance of flowers along the main stem is a dominant phenotype called "axial" and is controlled by an allele T. The recessive phenotype, produced by an allele t, has flowers only at the end of the stem called "terminal". Pod form displays a dominant phenotype "inflated", controlled by allele F, and a recessive "constricted" form produced by allele f. A pure-breeding axial, constricted plant is crossed to one that is purebreeding terminal, inflated. A. The F1 progeny of this cross are allowed to self-fertilize. What is the expected phenotypic distribution of the F2 progeny? List the genotypes and phenotypes of the F1 generation and the phenotypes of the F2 progeny. B. If an F1 plant from the initial cross described above, is crossed to a plant that is terminal, constricted, what is the expected phenotypic distribution among the resulting progeny?.

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3. (8 pts) Consider the Bayes Net given below. For a given expression of conditional independence, apply D-separation to show the given expression of independence is true or not. Question: Is it guaranteed that F_I_ E | B? Note: Between F and E, there are three paths. Be sure to check ALL three paths and make a conclusion. - Provide the trace of D-separation to show how you arrive at the answer. Answers without the evidence will receive 0 . - A scanned or photo taken image of your work is fine..

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3. (4 pts) Your instructor has presented you with a yery dark gray colored rock (nearly black), and you immediately notice its surface is covered with round holes (a bit like a block of Swiss cheese, except for the dark gray color). It is sparkly, so you know it is made of crystals, but they are much too small for you to recogmize what mineral (or minerals) the rock is made of. It is not noticeably layered, and water just sits on the surface of the rock, and doesn't soak in. Is this rock most likely igneous, sedimentary or metamorphie? What evidence supports your conclusion? What is the significance, if any, of it being made of tiny, almost microscopic crystals? Finally, what is the significance of the round holes?.

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3. ( 8 marks) Floating Point Error Analysis Show that if x,y,z are already floating point numbers in some floating point system F, the relative error of the floating point calculation (xy)z with respect to the true value of (xy)/z is less than or equal to 2E+E2 (where E is machine epsilon for the FP system F ) assuming no overflow/underflow errors occurs. The symbols and here represent floating point subtraction and division, respectively. Just like we saw for addition in class, they satisfy ab=fl(ab) and ab=fl(a/b), for floating point inputs a and b..

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2.La enfermera est evaluando a un recin nacido 1 minuto despus del nacimiento y observa el estado de la piel que se muestra a continuacin. (Los pies son azules) La enfermera debe entender que la condicin de la piel es causada por Hipoglucemia en el recin nacido. El recin nacido debe colocarse en una incubadora. El recin nacido requiere oxigenoterapia. Se espera una condicin de la piel en el recin nacido..

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2.Alvin, Simon and Theodore have been in partnership for many years running a vets practice.The partnership agreement states that all drugs are only to be purchased from Dave. Theodore has been suffering from ill health for a number of years and has now retired. Simon has entered into a contract to buy drugs from Brittany. The drugs have been delivered but now Alvin is refusing to pay for them. Dave is also due payment for drugs purchased by the partnership. Task 1:Which TWO of the following statements are correct? A A general partnership begins when the partnership agreement is signed B A general partnership begins when business activity commences C A general partnership must be registered at Companies House D A general partnership does not need to be registered at Companies House (5 marks) Task 2:Which TWO of the following statements are correct? A A partner has only has express authority which is set out in the partnership agreement B A partner has implied authority as set out in Partnership Act 1890 C Simon has acted within his express authority D Simon has acted within his implied authority (5 marks) Task 3:Which TWO of the following statements are correct? A Alvin and Simon are liable for the debts owed to Dave and Brittany B Alvin and Simon are not liable for the debts owed to Dave and Brittany C Theodore is liable for the debts owed to Dave and Brittany D Theodore will not be liable for the debts owed to Dave and Brittany if he has given correct notice of his retirement ( 5 marks).

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