Use the technique developed in this section to solve the minimization pro Minimize C= 200x + 150y + 120z subject to 30x + 15y + x + y + z 215 2z ≥ 30 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = at (x, y, z) =
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- 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 603.571 200.000What would the formula be for Cells B9 and C9 be to populate 0? Or is it just left blank?What is the equation of the line that passes through the point(−9,6)and is perpendicular to the liney=3x−5?
- Using back-substitution, show that an ARMA(1, 1) model may be written as eitheran AR or an MA model.Find the point of intersection of the pair of straight lines. y = −7x − 10 −y = 8x + 2 (x, y) =If X1, X2, ... , Xn constitute a random sample from apopulation with the mean μ, what condition must beimposed on the constants a1, a2, ... , an so thata1X1 + a2X2 +···+ anXnis an unbiased estimator of μ?
- Bad 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.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% trueGiven the following panel data model Y = Bo + B1X + a; + U which of the followings is(are) correct? Yanıtınız: a, refers observable fixed effects while u, refers to unobservable fixed effects. a, and u are both unobservable. We cannot estimate B, if X, is time varying. O We cannot estimate the model if some individuals are dropped from the data.
- minimize Z = 5x1 + x2 subject to 3x1 + 4x2 = 24 0 x1 x1 + 3x2Which of the following is/are linear function(s) of x, y, z? 2x A. y B. TTX + ey = 3z y- 3z C. 3x2 Select one: None A B. A and C All A and B B and CThe 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.)