An oil company produces oil from two wells. Well 1 can produce up to 150,000 barrels per day, and well 2 can produce up to 200,000 barrels per day. It is possible to ship oil directly from the wells to the company's customers in Los Angeles and New York. Alternatively, the company could transport oil to the ports of Mobile and Galveston and then ship it by tanker to New York or Los Angeles, respectively. Los Angeles requires 160,000 barrels per day, and New York requires 140,000 barrels per day. The costs of shipping 1000 barrels between various locations are shown in the file P14_88.xlsx, where a blank indicates shipments that are not allowed. Determine how to minimize the transport costs in meeting the oil demands of Los Angeles and New York.

Problem 1: For the following transfer function s2 + 2s + 3 G(S)= $3 + 5s2 + 8s + 4 a. Obtain the state space representation in controllable canonical form. b. Obtain the state space representation in observable canonical form. c. Repeat parts a & b using MATLAB. Problem 2: Given the following transfer function s+9 G(S) = $2 + 3s + 2 Find the state space representation and draw a block diagram for the system in the following forms a) Controllable Canonical Form. b) Observable Canonical Form. c) Diagonal Canonical Form. Repeat a and b using MATLAB.How does a natural experiment differ from a randomized one? O A. A natural experiment is expensive, while a randomized experiment is cheap. O B. Natural experiments are not influenced by omitted variables; randomized experiments contain omitted variables O C. A natural experiment uses existing variation, while a randomized experiment generates variation. O D. A natural experiment generates variation, while a randomized experiment uses existing variation. Which type of experiment is likely to yield more accurate results? O A. Randomized, because a natural experiment may not be completely randomized. O B. Natural, because there could be reverse causality. O C. Natural, because there could be an omitted variable. O D. Randomized, because a natural experiment may be completely influenced by chance. Suppose you had to find the effect of seatbelt rules on road accident fatalities. Would you choose to run a randomized experiment or would it make sense to use natural experiments here? Explain. O A. Randomized, because natural experiments with seatbelt rules may exist. O B. Natural, because seatbelt rules may be unrelated to road accident fatalities. O C. Randomized, because seatbelt rules may be influenced by road accident fatalities. O D. Natural, because seatbelt rules may increase road accident fatalities.aplia.com/af/servlet/quiz?quiz_action=takeQuiz&quiz_probGTd=QNAPCOA801010000003138fe80070000&ctx=cynthia.maier-00168 Event b Is composed of the following simple events: Q B= ((RA Ra) (RA, Pol, (PAr Sal. (SA, Rall O B - {(Ru Sal, (PA, Ro). (SA, Pall O B = ((RA, PB), (PA, So), [SA, Rall O B = ((RA, Pp), (PA, So)) What is the probability of event B? 0 0.90 0 0.33 0 0.50 0 0.75 Let event C be the event that the game ends In a tie. Event C is composed of the following simple events: O C= ((Ra, Ral, (RA. Pal. (RA, Sal. (Par Ral. (PL. Pel) O C - {(RA, Ral (PA, Pal, (SA, So)) O C = ((RA, Ral, (RA. Pal. (Ra, Sal. (PA, Ra). (PA Pal, (PA. Sa), (SA, Ra), (SA, 50)) O C. ((RA, Re), (RA. Pel, (PA, Pal, (SA, Pal, (SA, Sa)) What is the probability of event cr (0 0.25 0 0.33 Q 0.67 These probabilities were assigned using the Grade It Meir Save & Cantinge X 20 14 F3 F7 FO F10 E# % A & 63This assignment has three parts labeled "a" - "c" below. Complete each part of the assignment ani discussion in a Word or PDF document. Be sure to label each part to make it easy to identify. When you are nished with the assignment, submit the Word or PDF document. a. Titus Johnston's Variable Values are: SnapPercent = 96, Awards = 7, and GamesMissed = 3. How much guaranteed money does the regression iree predict that a player with Titus Johnson's prole should earn in his contract? b. Casey feels that Titus was denied an additional award in the past season due to some questionable voting by some sports media. If Titus had won this additional award, how much additional guaranteed money would the regression tree predict for Titus versus the prediction in Ma}? 0. As Casey reviews the best-pruned tree, he is conised by the leaf node corresponding to the sequence of decision rules of \"SnapPercent > 90.28, SnapPement