Optimization Note Examples 1. Farmer McDonald has 800 m of fencing and wishes to enclose a rectangular field. One side of the field is against a river and does not need fencing. Find the dimensions of the field if the fenced area is to be a maximum. A county fair has a holding area for prize sheep that are entered in a contest. The holding area is made up of 12 identical pens arranged in a two by six grid. If 100 m of fencing is available‚ what dimensions of each pen would maximize the total holding
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PROBLEM NUMBER 1 A farmer can plant up to 8 acres of land with wheat and barley. He can earn $5‚000 for every acre he plants with wheat and $3‚000 for every acre he plants with barley. His use of a necessary pesticide is limited by federal regulations to 10 gallons for his entire 8 acres. Wheat requires 2 gallons of pesticide for every acre planted and barley requires just 1 gallon per acre. What is the maximum profit he can make? SOLUTION TO PROBLEM NUMBER 1 let x = the number of acres of wheat
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MGT 326 Financial Accounting Fall Term 2009 Professor: Dr. Peter M. (Pete) Bergevin Telephone Number: Cell – 951-288-5996 E-mail: peter.bergevin@cgu.edu Office: Burkle Building—Room 228 Office Hours: Tuesday 6:00 - 7:00 p.m. and by appointment Required Text Financial Accounting for Executives‚ K.R. Ferris and J.S. Wallace‚ Cambridge Business Publishers‚ 2009 ((ISBN 0-97-87279-8-3) Recommended Reading: The Wall Street Journal or the Financial Times
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Jaquavia Jacques Ms. Cordell 1st period December 9‚ 2014 Quadratics is used to help to determine what is on a graph. There are many formulas that are used to put points on a graph to create parabolas. Parabolas are “U” shaped figures on a graph. Parabolas are examples of quadratics on a graph. Parabolas can be positioned up or down‚ which means if the arrows are going up it has a minimum point‚ and if the arrows are going down that means it has a maximum point. When graphing using the vertex formula:
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Data Table: ln(k) Uncertainty of ln(k) 1/T Uncertainty of 1/T 0.26136 6% 0.003309 0.0034% -0.10536 6% 0.003301 0.0033% 0.139762 4% 0.003288 0.0032% 0.34359 4% 0.003279 0.0031% 0.625938 3% 0.003266 0.0029% 1.011601 2% 0.003259 0.0029% 1.105257 2% 0.003256 0.0029% 1.348073 1% 0.00325 0.0028% 1.824549 0.81% 0.003213 0.0026% 1) Calculating the uncertainty i) Uncertainty for ln(k) Eg: ln(k)= 0.26136 Uncertainty= ((0.05)/ (0.26136))100 Uncertainty=>
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Student Activity A Generic Function Use the generic graph of f(x) with domain [–6‚ –3] and [–2‚ 6] to answer the questions below. 7 Y 6 5 4 3 2 1 X -7 -6 -5 -4 -3 -2 -1 0 -1 1 2 3 4 5 6 7 -2 -3 -4 -5 -6 -7 1. What is the range of f(x)? 2. What is the domain? 3. On what intervals is f(x) decreasing? 4. On what intervals will the following statements be true? a) As x increases‚ y increases. b) As x increases
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An extract and clarifications of changes in rules and systems of Lovely Professional University (Applicable w.e.f. Session 2013-14) Lovely Professional University has always valued feedback from its different stakeholders – especially from students and teachers. We can boast of a formal system of feedback in the University which supplements the informal mechanisms for feedback on issues such as curriculum‚ pedagogy‚ evaluation and other rules and systems of the University. Feedbacks on some key
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Student Answer form Unit 2 1. a. x-4x=-6 A) 1 B) -10 C) -6 X^2-10x-24=0 (X-4) (x+6) X-4=0 x=4 X+6=0 x+-6 b. x=7+4=5.5 x=7-4=1.5 x=-b±b2-4ac2a x= (-7) ± (-7)2-4(3) (20)2a x=7±64-802a x=7±-16 x=7+4/2=5.5 x=7-4/2=1.5 c. 10x^2+x-3=0 x=-b±b2-4ac2a x=-1± (1)2-4(10) (-3)2(10) x=1±1-12020 x=1±10 x=1+320 = 5 x=1-320= 10 2. a. (-2.3‚ 0)‚ (0‚ 6.3) b. This is a maximum function.
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XLSTAT&2014.4.08&-&Histograms&-&on&2014-09-18&at&5:27:23&PM Data:&Workbook&=&Math&1p98&final.xlsx&/&Sheet&=&Sheet1&/&Range&=&Sheet1!$A:$A&/&40&rows&and&1&column Intervals:&&Number&=&10 Summary&statistics: Variable Data Observations Obs.&with&missing&data Obs.&without&missing&data Minimum Maximum 40 0 40 4.100 13.500 Histogram)(Data)) 12& 10& Frequency) 8& 6& 4& 2& 0& 2& 4& 6& 8& Data) 10& 12& 14& & Descriptive&statistics&for&the&intervals&:
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Smbd – Assignment 4 Submitted to Prof. Ishwar Murthy 1 Introduction Mr. Debashish Chatterjee‚ owner of hotel Aria‚ is working on room booking policy to maximize the revenues. And specifically‚ he is working on the weekend operations in which the number of bookings are maximum. There are two types of bookings‚ Class I – One day bookings which start from SAT noon to SUN noon or SUN noon to MON noon and Class II – Two day bookings which start from SAT noon to SUN noon. The tariff of Class I booking
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