3- The owner of a car wash is trying to decide on the number of people to employ based on the following short production function: Q = 6 L – 0.5 L² Where Q = No. of car washes per hour L = No. of workers a- Generate a schedule showing TP‚AP‚MP.‚ then graph it. L | TPL | MPL | APL | 0 | 0 | 0 | - | 1 | 5.5 | 5.5 | 5.5 | 2 | 10 | 4.5 | 5 | 3 | 13.5 | 3.5 | 4.5 | 4 | 16 | 2.5 | 4 | 5 | 17.5 | 1.5 | 3.5 | 6 | 18 | 0.5 | 3 | 7 | 17.5 | -0.5 | 2.5 |
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Institutional Set-up ◦ ◦ ◦ ◦ Road Safety Department (2005) MIROS (2007) National Road Safety Council (50 years ago) Annual Budget Allocated for Road Safety Programs Malaysia Road Safety Facts (1996-2006) Year Registered Vehicles Road Length (Km) Number of accidents Death 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 7‚686‚684 8‚550‚469 9‚141‚357 9‚929‚951 10‚589‚804 11‚302‚545 12‚068‚144 12‚868‚934 13‚801‚297 14‚816‚407 15‚790‚732 60‚734 63‚382 63‚382 64‚981 64‚981 64‚981 64‚981 71‚814
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DEPARTMENT OF ARTS AND COMMUNICATION CAS‚ UP Manila BACHELOR OF ARTS IN PHILIPPINE ARTS (Cultural Heritage/Arts Management) (Effective First Semester‚ 2011- 2012) ARTS MANAGEMENT FIRST YEAR FIRST SEMESTER GE (AH) Kom I GE (SSP) SocSci I GE (MST) Math I GE (SSP) History I Forms: Performing Arts PE (1) NSTP PRE-REQUISITE Total UNITS 3 3 3 3 3 (2) (3) -----15 PRE-REQUISITE Kom I Total UNITS 3 3 3 3 3 (2) (3) ----15 SECOND SEMESTER GE (AH) Kom II GE (SSP)* GE (MST) Nat.Sci. I Survey: PhilArts
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History of imaginary numbers I is an imaginary number‚ it is also the only imaginary number. But it wasn’t just created it took a long time to convince mathematicians to accept the new number. Over time I was created. This also includes complex numbers‚ which are numbers that have both real and imaginary numbers and people now use I in everyday math. I was created because everyone needed it. At first the square root of a negative number was thought to be impossible. However‚ mathematicians soon
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the imaginary land of numbers… Yes‚ numbers! I bet that would’ve never come to mind. Which brings me to the question: Who thought of them and why? In 50 A.D.‚ Heron of Alexandria studied the volume of an impossible part of a pyramid. He had to find √(81-114) which‚ back then‚ was insolvable. Heron soon gave up. For a very long time‚ negative radicals were simply deemed “impossible”. In the 1500’s‚ some speculation began to arise again over the square root of negative numbers. Formulas for solving
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Abstract A complex number is a number that can be written in the form of a+bi where a and b are real numbers and i is the value of the square root of negative one. In the form a + bi‚ a is considered the real part and the bi is considered the imaginary part. The goal of this project is show how the use of complex numbers originates in the history of mathematics. Introduction Complex numbers are very important component of mathematics. They enable us to solve any polynomial equation of degree
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Real Number Properties In this assignment we were asked to solve three expressions using the properties of real numbers in order to do so. Each of the real number properties are essential in solving algebraic expressions. Although you may not need to use all of them in the same expression to solve you will need to use at least one. In this paper I will demonstrate the use of the properties and show the steps needed to solve each part of an expression. Understanding the properties of algebra
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January Exam Timetable 2014 Department ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANCIENT CLASSICS ANTHROPOLOGY ANTHROPOLOGY ANTHROPOLOGY ANTHROPOLOGY APPLIED SOCIAL STUDIES APPLIED
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0 1 6 7 13 3 1 4 6 7 13 5 5 10 6 6 12 6 1 7 3 7 10 3 6 9 3 6 9 0 0 0 2 2 4 1 5 6 6 3 9 2 3 5 2 2 4 2 0 2 3 3 6 5 3 8 2 3 5 2 3 5 6 7 13 1 5 6 7 7 14 3 0 3 2 6 8 3 5 8 3 6 9 5 3 8 6 7 13 0 6 6 6 2 8 5 1 6 7 3 10 2 5 7 7 2 9 Frequency Dice number game 1 game 2 sum game 3 game 4 sum 0 18 18 2 0 0 0 1 21 18 9 0 0 0 2 14 9 8 24 23 0 3 16 26 12 23 25 0 4 2 1 10 0 0 5 5 21 15 12 0 0 12 6 5 8 14 25 26 7 7 0 0 5 22 21 0 8 13 11 9 2 25 10 4 7 11 1 0 12 1 6 13 0 11 14 0
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PRODUCTION PLANNING TERM PROJECT | | | Course Lecturer: Prof.Dr.Selim Zaim Öğr.Gör.Dr.Hüseyin Selçuk Kılıç | | | | | Project Members: Elif Duygu Bağatırlar 150308045 Merve Ağaoğlu 150308026 İbrahim Ahıskalı 150308006 QUESTION 1 * Moving Average Method | | MA(2) | MA(3) | MA(4) | MA(5) | MA(6) | MA(2) | MA(3) | MA(4) | MA(5) | Month | Demand | one-step ahead | one-step ahead | one-step ahead | one-step ahead | one-step ahead | two
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