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2. SnapFast makes the fastest supercomputers in the world. The production manager has hired you as a consultant to help predict monthly demand, based on past demand figures. The following table presents the demand figures for the last 5 months. Month June July August September October Demand 30 34 3339 46 Please round to two decimal places for all computations. N-period Moving Average: F = (A-1 + A-2 + … + A-N )/N Exponential Smoothing: F = Fra + a(A-1 – F-1) Holt’s Method: FIT+1 = Ft +T Ft= QA++ (1 – a)FIT = 0A++ (1 – a)(Ft-1+T+1) T = B (Ft-Fr.) + (1-B) Tt-1 a) Based on the pattern of the above demand data, which objective forecasting method(s) would you recommend and why? b) What will be the demand forecasts for November if a 2-month simple moving average is used? c) Based on the simple exponential smoothing method with a smoothing constant, a = 0.5, calculate forecasted demand for November. Start with an initial forecast of 30 supercomputers in June d) Based on Holt’s method with smoothing constants, a = 0.5, B = 0.1, calculate forecasted demand for November. For June, start with F = 30 and T. = 4. e) Using the MAD measure, only for months from (including) August to including) October, compare the accuracy of forecasts generated by simple moving average in part (b), simple exponential smoothing in part (c), and Holt’s method in part (d). Based on your MAD measures, which forecasting method is better in this case?

EXPERT ANSWER a). Holt’s method is recommended because it provides two smoothing(level smoothing and trend smoothing). It has two smoothing constants α and β.

Question: Exercise 1: Express the following using summation notation: 1) res

Exercise 1: Express the following using summation notation: 1) result the symbol 00 {(k+1)3 k=1 2) Write the symbol summation.. k= 9 + 16 + 25 + 36 + 49. Compute the following products: 1) result the symbol 1:2 i=1 2) Write the symbol product.. i= 1.2.3.4.5.6.7.8.9.10 Exercise 2: Use mathematical induction to prove that: …

Question: Exercise 1: Express the following using summation notation: 1) res Read More »

If you are driving 72 km/h along a straight road and you look to the side for 4.0 s, how far do you travel during this inattentive period? 18 m 20 m 40 m 80 m

EXPERT ANSWER driving at 72km/h converting speed to metre / sec 1 km = 1000 m 1 hour = 60* 60 seconds = 3600 seconds 1 km/hour = 1000/ 3600 metre / second 72 km/ hour = 72* ( 1000/ 3600) = 20 m / sec therefore, in 1 second distance covered = 20 m …

If you are driving 72 km/h along a straight road and you look to the side for 4.0 s, how far do you travel during this inattentive period? 18 m 20 m 40 m 80 m Read More »

Linear Functions: Applications. Question: A firm sells a single product of $65 per unit. Variable costs unit are $20 for materials and $27.50 for labor. Annual fixed costs are $100,000. Construct the profit function stated in terms of x, the number of units produced and sold. What profit is earned if annual sales are 20,000 units?

How many units must be produced and sold in order to Earn a profit of $1.5 million Earn zero profit? ( break-even) EXPERT ANSWER

Question: 5. In an interview of 50 math majors, 12 liked calculus and geome

5. In an interview of 50 math majors, 12 liked calculus and geometry, 18 liked calculus but not algebra, 4 liked calculus, algebra, and geometry, 25 liked calculus, 15 liked geometry, 10 liked algebra but neither calculus nor geometry, 2 liked geometry and algebra but not calculus. Of those surveyed, how many liked calculus and …

Question: 5. In an interview of 50 math majors, 12 liked calculus and geome Read More »