1 DEFINITION OF LINEAR PROGRAMMING (LP) Linear programming (LP) is a mathematical technique used in finding the best possible allocation of resources to achieve the best outcome‚ which is maximising profit or minimising cost. However‚ it is only applicable where there is a linear relationship between the variables. For example‚ the linear relationships between hours of labour and output in a textiles factory means an increase or decrease in labour force has a direct impact on production‚ which
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CD Tutorial 4 The MODI and VAM Methods of Solving Transportation Problems Tutorial Outline MODI METHOD How to Use the MODI Method Solving the Arizona Plumbing Problem with MODI VOGEL’S APPROXIMATION METHOD: ANOTHER WAY TO FIND AN INITIAL SOLUTION DISCUSSION QUESTIONS PROBLEMS T4-2 CD TUTORIAL 4 THE MODI AND VAM METHODS OF SOLVING TRANSPORTATION PROBLEMS This tutorial deals with two techniques for solving transportation problems: the MODI method and Vogel’s Approximation Method (VAM)
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per week 0 50 1 30 2 20 3 14 4 8 5 6 a. If each security guard is paid $200 a week and the cost of a stolen radio is $25‚ how many security guards should the firm hire? 2 guards: Number of Security Guards Number of radios stolen per week 0 50 (200 × 0) + (25×50)=1250 1 30 (200 x 1) + (25 x 30) =950 2 20 (200 x 2) + (25 x 20) = 900 3 14 (200 x 3) + (25 x 14) = 950 4 8 (200 × 4) +(25 × 8)=1000 5 6 (200 x 5) + (25 x 6) =1150 b. If the cost of a stolen radio is $25‚ what is the most
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a). Deadweight loss is given by A1 in the diagram And value of deadweight loss is given by ½( ΔP) Δ (Q) ½ (70 – 50) (30 – 50) = - 200 b). Cost saving in the figure is given by A2 A2 = (AC2 – AC1)Q2 Or‚ Δ(AC)Q2 = (44 – 50) 30 = -6*30 = - 180 c). Economic effect of merger will be positive if the following inequality holds [ Δ(AC)Q2 - ½ (ΔP)( ΔQ)] > 0 = - 180 –( -200) > 0 = 20 > 0 Since 20 is greater than 0 the economic effect of merger is positive thus it should be allowed. d). When P0 = $ 52
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results compare with your prediction? Your answer: Because Urea was too big to pass through the 20 MWCO membrane 3. Describe the results of the attempts to diffuse glucose and albumin through the 200 MWCO membrane. How well did the results compare with your prediction? Your answer: glucose diffused through the 200 MWCO membrane‚ while there was no diffusion of albumin. I predicted correctly. 4. Put the following in order from smallest to largest molecular weight: glucose‚ sodium chloride‚ albumin‚ and
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Account | Debit | Credit | Debit | Credit | Debit | Credit | Cash | 15200 | | | | 15200 | | Account Receivable | | | 650 | | 650 | | Advertising Supplies | 2500 | | | 400 | 2500 | 400 | Prepaid Insurance | 600 | | | 200 | 600 | 200 | Office Equipment | 5000 | | | | 5000 | 0 | Accumulated Depreciation | | | | 100 | | 100 | Notes Payable | | 5000 | | | | 5000 | Account Payable | | 2500 | | 120 | | 2620 | Salaries Payable | | | |
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produces 200 loaves of bread that sell for $ 3 each. a. Calculate nominal GDP‚ real GDP‚ and GDP Deflator for each year (Use 2005 as the base year). b. By what percentage do nominal GDP and Real GDP rise from one year to the next? c. Calculate the rate of inflation between 2005 and 2006? Answer: a. Year 2005 2006 Nominal GDP $200 $600 Real GDP 200 400 GDP Deflator 100 150 b. Percentage change in Nominal GDP(2005-6) = 600-200 x 100
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0.7 2) This household’s consumption function is A) C = 300 + 0.7Y. C) C = 200 + 0.2Y. B) C = 200 + 0.8Y. D) C = 1‚000 + 0.8Y. 3) This household saves -$50 at an income level of A) $750. B) $833.3. C) $1000. D) $890.3. 2. Assume consumption is represented by the following: C = 200 + .75Y. Also assume that planned investment (I) equals 300. (a) Given the information‚ calculate the equilibrium level of income. Y=AE=C+I=200 + .75Y+300 Y*=2000 (b) Calculate the multiplier Multiplier=1/ (1-MPC)=4
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interest rates (i) increase by 0.05 (5%)‚ and output (Y) increases by EUR 200 billion. This causes the IS curve to shift from IS to IS ’. (EconLit E270‚ E620‚ E470) Deriving the IS-LM Relation The structure of the goods and financial markets of an economy given in Blanchard (2006‚ p. 111‚ problem 4) is represented by the following equations: C = 200 + 0.25YD (1) I = 150 + 0.25 Y - 1000i (2) G = 250 (3) T = 200 (4) (M/P)d = 2Y – 8‚000i (5) M/P = 1‚600 (6)
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kinetic energy of the molecules in motion. 2. In diffusion‚ molecules move You correctly answered: a. from high concentration to low concentration. 3. Which of the following dialysis membranes has the largest pore size? You correctly answered: d. 200 MWCO 4. Avogadro’s number is a constant for the number of You correctly answered: b. molecules. 06/17/14 page 1 Experiment Results Predict Question: Predict Question 1: The molecular weight of urea is 60.07. Do you think urea will diffuse
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