Cascade Pharmaceuticals Company developed the following regression model, using time series data from the last 33 quarters for one of its cold medicines: Y = -1.04 + 0.24X1-0.27X2 where: Y = quarterly sales (in thousands of cases) of cold remedy X_ (1) = Cascade quarterly advertisement (x $ 1,000) for cold remedy X_2 = competitive advertisement for similar products (x $ 1,000) The following is additional information about the regression model: Sb1 = 0.032 Sb2 = 0.070 R2 = 0.64 se = 1.63 F statistic = 31.402 Durbin-Watson statistic (d) = 0.4995 a. Which of the independent variables (if any) appears to be statistically significant (at the 0.05 level) in explaining sales of the cold remedy? b. What proportion of the total variation in sales is explained by the regression equation? c. Do you perform an F-test (at the 0.05 level) of the overall explanatory power of the evaluation of this model?

2. General Cereals is using a regression model to estimate demand for Tweetie Sweeties, a sugar-coated whistle-shaped breakfast cereal for children. We begin to use the following demand function (multiplicative exponential): QD = 6,280P-2.15 A1.05 N3.70 where QD = quantity demanded, in 10 oz. of boxes P = price per box, in dollars. A = spending on television advertising during the day, in dollars. N = proportion of the population under 12 years of age. to. Determine the price elasticity of demand for Tweetie Sweeties. b. Determine the advertising elasticity of demand. c. What interpretation would you give the exponent of N?

3. We want to carry out a study on the demand for automobiles, for the data set for January 2021. a. Using a computer regression program, determine the estimated regression equation with the explanatory variable. b. Give an economic interpretation of each of the estimated regression coefficients. c. Which of the independent variables (if any) is statistically significant (at the .05 level) in explaining the selling price? d. What proportion of the total variation in the selling price is explained by the regression model? and. Perform an F-test (at the 5 percent significance level) of the overall explanatory power of the model. F. Construct an approximate 95 percent prediction interval for the sale price of automobiles.

Linear Programing Formulation (5 Points) Onestion 2: Alton Company manufactures two products, A and B. on machines I and II. The company will realize a profit of $3/unit of product A and a profit of $4/unit of product B. Manufacturing I unit of product A requires 6 min on machine I and 5 min on machine II. Manufacturing I unit of product B requires 9 min on machine I and 4 min on machine II. There are 5 hr of time available on machine I and 3 hr of time available on machine II in each work shift. Express your answer to the following questions using mathematical equations or inequalities. a) What is the objective function? (The function to be optimized?) Express your answer using mathematical equations or inequalities. b) What are the constraints? 15 minutes on slide(show all work for full credit) Include all these features: 1. Optimize the following circuits 2. For all questions show the circuit before and after optimization 3. Truth table 4. Boolean expression; Original and optimized 5. Karnaugh Map and optimization process 3 Element Karnaugh Map YZ 00 01 11 10 X 1) F(X Y,Z) =XYZ + XYZ+ XYZ +XYZ 2) F(A.B,C,D) = MI,M5,M6, M9, M10, M13, M14 00 01 11 10 00 0000 | 0001 | 0011 0010 MO M1 M3 M 01 0100 0101 0111 0110 M4 M5 M7 M6 11 1100 1101 1111 1110 M12 M13 M15 M14 10 1000 1001 1011 1010 M8 M9 M11 M10 3) F(A.B,C,D) = MO,MI,M2,M3,M4, M5, M6, M7, M9,M1 1 (same analysis as question 2 just a different way of asking the question with different components)4) You have learned in this course that one of the most practical applications of Derivatives is in the process of "Optimization Problems". You have been taught, in general, the key ideas, features, processes, and steps necessary to correctly solve an Optimization Problem. Given an optimization problem, explain how to go about solving it. In addition, explain under what circumstances your answers would be inadmissible/invalid based on the question being asked.The table below shows the distribution of each instruction type on a processor running with a 2 GHz clock frequency. Instr Proportion CPI (baseline) CPI (opt #1) CPI (opt #2) Load/Store 24% 5 2 3 Branch 30% Mul/Div 12% Other 34% Total 100% Question 3.A Baseline CPI (4 points) What is the average CPI of the baseline processor? Question 3.B Optimization (6 points) With some optimization, and the support of some extra logic, the microarchitecture can decrease the load and store CPI to 2 and branch CPI to 1 and decrease the mul/div logic to a CPI of 7 (option #1). Alternatively, the extra logic that can be spent can be used to optimize load and store CPI to 3 and the mul/div logic to support CPI of 1 (option #2). What is the CPI speedup of each optimization relative to the baseline design? Which optimization is better to improve performance?MCQ # Answer Justification: 1) FALSE Transactions are entered in the journals in chronological order first and then posted to respective ledgers. Trial Balance will be prepared after balancing the ledgers. Therefore, given statement is FALSE. 2) FALSE If journal entry is posted twice, it will have no effect on trial balance because both debit and credit side of the trial balance will reflect inflated figure. As a result, this error will not be found when the trial balance is produced. Therefore, given statement is FALSE. 3) FALSE Chart of accounts refers to list of account titles (ledger names) used/usable while recording journal entries in firm's books of accounts. It can be arranged in any order which is comfortable to the users of accounts, may be based on their liquidity or numerical values assigned in computer system or based on alphabetical order, etc. So, given statement is FALSE