Determine whether the given simplex tableau is in fina form. If so, the solution the associated regular linear programming problem. If not, find the pivot element to be used in the next iteration of the simplex method. y zu VP Constant 051 10 26 1 3 0 1 18 80702 1 46 Yes, the simplex tableau is in final form. The system has a maximum value of 46 at (26, 18, 0). Yes, the simplex tableau is in final form. The system has a maximum value of 46 at (8, 0, 7). Yes, the simplex tableau is in final form. The system has a maximum value of 46 at (0, 18, 0). No, the simplex tableau is not in final form. The pivot element is 3 in the first row, first column. No the simplex tableau is not in final form. The pivot element is 5 in the first row third column x 3 2
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- Use the RAND function and the Copy command to generate 100 random numbers. a. What fraction of the random numbers are smaller than 0.5? b. What fraction of the time is a random number less than 0.5 followed by a random number greater than 0.5? c. What fraction of the random numbers are larger than 0.8? d. Freeze these random numbers. However, instead of pasting them over the original random numbers, paste them onto a new range. Then press the F9 recalculate key. The original random numbers should change, but the pasted copy should remain the same.For the next 6 numbers: Refer to the Management Scientist output of a maximization LP problem. The constraints are defined as follows: Constraint 1: advertising budget ( ) Constraint 2: sales force availability ( ) Constraint 3: production level (=) Constraint 4: retail stores requirement ( ) Optimal Solution Objective Function Value - Variable. Constraint X1 X2 X1 X2 X3 X4 X3 X4 1 2 Variable 1 2 3 3 4 OBJECTIVE COEFFICIENT RANGES 4 Constraint RIGHT HAND SIDE RANGES Value Slack/Surplus Lover Limit 25.000 425.000 150.000 0.000 84.000 50.000 No Lover Linit No Lover Linit Lover Limit 48450.000 0.000 25.000 0.000 0.000 4950.000 1775.000 515.000 0.000 Reduced Costs Dual Prices Current Value 90.000 84.000 70.000 60.000 Current Value 0.000 0.000 0.000 45.000 5000.000 1800.000 600.000 150.000 3.000 0.000 60.000 -17.000 Upper Limit No Upper Linit 90.000 87.000 105.000 Upper Linit 5850.000 No Upper Limit 603.571 200.000Bad simulations Explain why each of the followingsimulations fails to model the real situation properly:a) Use a random integer from 0 through 9 to representthe number of heads when 9 coins are tossed. b) A basketball player takes a foul shot. Look at a ran-dom digit, using an odd digit to represent a good shot and an even digit to represent a miss.c) Use random numbers from 1 through 13 to represent thedenominations of the cards in a five-card poker hand.
- Using back-substitution, show that an ARMA(1, 1) model may be written as eitheran AR or an MA model.Q) The sin() function can be evaluated by the following infinite series: x3 sin x = x - 3! 5! Create an M-file to implement this formula so that it computed and displays the values of sin(x) as each term in the series is added up to fifteenth order. For each step, compute and display the percent relative error as following: true – series approximation %error x 100% trueA negative value of Z in standard normal distribution indicates that a. the number of standard deviations of an observation is to the right of the mean b. the number of standard deviations of an observation is to the left of the mean c. a mistake has been made in computations since Z cannot be negative d. the data has a negative mean 2. Which of the following will increase the breakeven point? a. Increase selling price b. Increase fixed cost c. Decrease variable cost d. Decrease fixed cost 3. The manager of a manufacturing company is trying to figure out how many products need to be produced for the coming quarter. Suppose the beginning inventory of the quarter is 500 units and the management predicts that the sales volume in the coming quarter would be 2400 units. The company also requires 1100 units ending inventory for the coming quarter. What should be the production volume for that quarter? a. 2400 b. 3000 c. 3300 d. 3900
- The pendulum of a clock consists of a mass of 0.20 kg hanging from a thin rod. The amplitude of the pendulum swing is 3.0 cm. The clock is driven by a weight of mass 4.5 kg that falls a distance of 0.95 m over a period of 8 days. Assuming the pendulum to be a simple pendulum of length 0.75 m, Find the Q-value of the clock. (Assume g = 9.81 ms2.)When it first debuted, Telsa was selling its Model 3 sedan for $35,000. The Model 3 was priced substantially less than Tesla’s other models at the time, however, it had similar quality and input costs. In charging such a low price, it is most likely that Tesla is trying to: A. Create more value without capturing more value B. Capture more value without creating more value C. Create and capture more value D. None of the aboveGiven a normal distribution with μ= 105 and σ = 20, and given you select a sample of n = 16, complete parts (a) through (d). a. What is the probability that X is less than 92? P(X<92) 0.0047 (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 92 and 93.5? P(92 X 93.5)= 0.0061 (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X is above 105.2? P(X 105.2)= 0.4840 (Type an integer or decimal rounded to four decimal places as needed.) d. There is a 67% chance that X is above what value? X = (Type an integer or decimal rounded to two decimal places as needed.)
- A manufacturer of programmable calculators is attempting to determine a reasonable free-service period for a model it will introduce shortly. The manager of product testing has indicated that the calculators have an expected life of 30 months. Assume product life can be described by an exponential distribution. T / MTBF e-T /MTBF T / MTBF e-T /MTBF T / MTBF e-T /MTBF 0.10 0.9048 2.60 0.0743 5.10 0.0061 0.20 0.8187 2.70 0.0672 5.20 0.0055 0.30 0.7408 2.80 0.0608 5.30 0.0050 0.40 0.6703 2.90 0.0550 5.40 0.0045 0.50 0.6065 3.00 0.0498 5.50 0.0041 0.60 0.5488 3.10 0.0450 5.60 0.0037 0.70 0.4966 3.20 0.0408 5.70 0.0033 0.80 0.4493 3.30 0.0369 5.80 0.0030 0.90 0.4066 3.40 0.0334 5.90 0.0027 1.00 0.3679 3.50 0.0302 6.00 0.0025 1.10 0.3329 3.60 0.0273 6.10 0.0022 1.20 0.3012 3.70 0.0247 6.20 0.0020 1.30 0.2725 3.80 0.0224 6.30 0.0018 1.40 0.2466 3.90 0.0202 6.40 0.0017 1.50 0.2231 4.00 0.0183 6.50 0.0015 1.60 0.2019 4.10 0.0166 6.60 0.0014 1.70 0.1827 4.20…What would the formula be for Cells B9 and C9 be to populate 0? Or is it just left blank?A tire factory wants to set a minimum mileage guarantee on its tyre. Tyre tests reveals that the mean mileage has a normal distribution with mean 128 and standard deviation 1.76. the manufacturer wants to set the minimum guaranteed mileage so that no more than 2.5 percent of tyres will have to be replaced. The Lower limit of guaranteed mileage is :? (Write your answer in 2 decimals places)