presence of weak base. However‚ for RH-PY‚ the stearic hindrance of pyrene slows the reactivity‚ and the reaction does not go to completion. Therefore‚ the reaction procedure was modified as follows. First‚ HATU and DIPEA were used to activate the carboxyl group of rhodamine B‚ then the activated rhodamine B was reacted with 1-aminopyrene. By introducing this method‚ the reaction completed‚ affording the target product in high yield (70%). The structure of RH-PY was analyzed by 1H-NMR and ESI-TOF. Figure
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MBA MANAGERIAL ECONOMICS Arcadia IMBA Module 2 University Wide Individual Assignment (UWIA) 12th July 2013 PROBLEM SET #1 1. Complete the following table and answer the accompanying questions. a. At what level of the control variable are net benefits maximized? Net Benefit is also profit. The formula for this is MB = MC. As seen in the table completed above‚ after applying the formula then net benefit is maximized where Q = 106. b
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Marks): Solve the Dilemma Mrs. Acres Homemade Pies Shelly Acres‚ whose grandmother gave her a family recipe for making pies‚ loved to cook so she decided to start a business she called Mrs. Acres Home-made Pies. The company produced specialty pies and sells them in local supermarkets and select family restaurants. In each of the first six months‚ Shelly and three part-time employees sold 2‚000 pies for $4.50 each‚ netting $1.50 profit per pie. The pies were quite successful and Shelly could not keep
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wishes to maximize utility‚ denoted U (x‚ y). Her problem is then to Maximize: U = U (x‚ y) subject to the constraint B = p x x + py y Unless there is a Corner Solution‚ the solution will occur where the highest indifference curve is tangent to the budget constraint. Equivalent to that is the statement: The Marginal Rate of Substitution equals the price ratio‚ or px M RS = py This rule‚ combined with the budget constraint‚ give us a two-step procedure for finding the solution to the utility maximization
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technology we will have the capacity to produce greatest 400 pies for every day (theoretical working capacity). However the ordinary working capacity‚ which takes into account the typical breaks and the unmoving periods‚ is just 300 pies for each day‚ or 73 percent (as a rule 10 working hours for each day). That implies that the normal projected 176 pies for each day would be reached at just 60 percent of ordinary working capacity (176 pies/300 pies = .58)‚ which is a sensible target. In times of top sales
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Assumptions: - Production Rate 1‚000 dozen pies every 20 minutes - Monthly Production – 60‚000 dozen pies - Yearly production - 720‚000 dozen pies - Thrift store demand – 240 dozens per month - Thrift store storage max - 1000 dozen pies - Rejected batches are first sold at the Thrift Store and excess donated to charity - The threat of situation similar to energy crisis period is minimal and fines for substantially underweight pie is nonexistent - Five samples taken from QC during manufacturing
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produce 40 pies OR 400 cakes‚ whilst Liam can produce 100 pies OR 200 cakes. a. Calculate Kim’s and Liam’s opportunity costs of producing one pie. Kim’s opportunity cost of producing a pie is 400/40 = 10 cakes per pie. Liam’s opportunity costs of producing a pie is 200/100 = 2 cakes per pie b. If Kim and Liam spend 30 minutes of each hour producing pies and 30 minutes producing cakes‚ how many pies and cakes does each of them produce? Kim produces 20 pies and 200 cookies. Liam produces 50 pies and 100 cookies
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UTILITY MAXIMIZATION We will examine the nature of consumer choices by working with a simple model in which the consumer DM chooses how to allocate their income M between two good X and Y. The kinds of choices we examine with this model can be quire general with X and Y varying from subjects as diverse as income versus leisure‚ consumption today versus consumption tomorrow‚ and different classes of consumption goods. The utility model has proven quire useful in a number of real world applications
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Date of Birth (dd/mm/yyyy) First Name: Last Name: Passport Number: Expiry Date: Type: ☐Ordinary ☐ Official ☐Female ☐ Male Age ☐Ex-PY of SSEAYP (Year:) ☐Ex-NL of SSEAYP (Year:) ☐Ex-Facilitator of SSEAYP (Year:) ☐Spouse of Ex- PY /NL/ Facilitator of SSEAYP (Name:) ☐Family of SSEAYP (Name:) ☐Host Family of SSEAYP ☐Ex-PY of INDEX (Year:) ☐Ex-PY of SVVY (Year:) ☐Friends of Ex-PY ☐ Member ☐ Board Members‚ position: ___________________ ☐ Other: ___________________________ Address: Phone: Mobile: Email: Name
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2 EI L2 e Le EI Pcr Page 5 CVEN 9802 Stability Effective Length Recall the solution for a simply supported column: x A y(x) B P EI Buckled Shape L Page 6 CVEN 9802 Stability Solution d y EI Py 0 2 dx y 0 0 y L 0 Unstable if det.=0 2 y A sin x B cos x P A‚ B constants‚ EI 2 0 sin L det . A 0 cos L B 0 1 sin L 0 L n Page 7 Pcr n
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