Which number correctly identifies the Feasible Region? List the appropriate Extreme Points based on their letters. Max -x + 2y st 6x-2y <3 -2x + 3y ≤6 x + y 23 x, y ≥ 0
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- 10 Dr. Lillian Fok, a New Orleans psychologist, specializes in treating patients who are agoraphobic (i.e., afraid to leave their homes). The following table indicates how many patients Dr. Fokh each year for the past 10 years. It also indicates what the robbery rate was in New Orleans during the same year: ! 1 F1 A 1 option Year Number of Patients Robbery Rate per 1,000 Population The simple linear regression equation that shows the best relationship between the number of patients and the robbery rate is (round your responses to three decimal places): ŷ=0+0x N @ 2 W S X command A where y Number of Patients and x = Robbery Rate. In year 11, if the robbery rate increases to 133.40, using trend analysis, the number of patients Dr. Fok will see = patients (round your response to two decimal places). In year 11, if the robbery rate decreases to 90.6, using trend analysis, the number of patients Dr. Fok will see = patients (round your response to two decimal places). #3 80 F3 E D $ 4 C 888…Use the information below to answer question 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 1. Given values – 144, -192, and 96 for Dx, Dy, and Dz respectively and D = 144. Then the solution to the system for x, y and z are: A. -1, -1.33, and 0.67 B. -0.47, -0.63 and 0,30 C. 0.5, 0.67 and-0.33 D. 0.73, 0.98 and -0.49Use the information below to answer question 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 1. The co-factor for the first element in the coefficient matrix for this system is: A. -27 B. -45 C. 27 D. 45
- The total number of absents students in the four (4) school terms for a matric class at a high school over a 4-year period are recorded and tabulated as shown below. Year Term Number of absents 1 50 2018 2 38 16 4 1 67 2019 2 40 12 4 8 1 128 2020 95 37 4 20 1 149 2021 2 133 3 78 4 55 Calculate the first centered moving average for this time series data. A. 27.25 В. 29.375 С. 31.5 D. 32A committee in charge of promoting a Ladies Professional Golf Association tournament is trying to determine how best to advertise the event during the two weeks prior to the tournament. The committee obtained the following information about the three advertising media they are considering using. Cost per Audience Reached per Advertisement Advertisement Category TV Radio Internet s.t. Priority Level 2 Goal Priority Level 3 Goal Goal 1: Reach at least 3.7 million people. Priority Level Goal TV limit X₁ <10 Radio limit X₂ ≤ 15 Internet limit X3 ≤18 The last column in this table shows the maximum number of advertisements that can be run during the next two weeks; these values should be treated as constraints. The committee established the following goals for the campaign. Priority Level 1 Goal Goal 1 200,000 Goal 2 50,000 Goal 3 100,000 X Goal 2: The number of television advertisements should be at least 30% of the total number of advertisements. ✓ $2,500 X $400 Goal 3: The number of radio…find its optimal solution by inspection. Minimize w = 10y1
- 7. Consider the following decision table, which Joe Blackburn has developed for Vanderbilt Enterprises: States of Nature Decision Alternatives Probability: 0.35 0.25 0.40 Low Medium High A $35 $80 $65 B $85 $50 $70 C $55 $70 $75 D $70 $85 $65 E $70 $75 $85 Part 2 The alternative that provides Blackburn the greatest expected monetary value (EMV LOADING... ) is ▼ D E A B C The EMV for this decision is $_______(enter your answer as a whole number).5, The total number of thousands of tons of coal produced per year over a 10-year period for a certain region is provided in the accompanying dataset. Use double exponential smoothing to determine which pairs of values for α and minimize MAD for this dataset. α=0.2, β=0.8; α=0.4, β=0.3; α=0.9, β=0.7 Which pair of values for α and β minimize MAD for this dataset? α=enter your response here and β=enter your response here (Type integers or decimals. Do not round.) Year Coal Production (thousands of tons) 1 434,325 2 420,421 3 439,039 4 477,196 5 504,186 6 526,958 7 546,817 8 564,876 9 556,711 10 570,977RDB Company wishes to assign a real estate brokers to one of its 6 sales districts. Based on theprofile of prospective buyers and the past performance of its top 6 brokers, the company estimatesthat average property sales, in lots/month, would be as follows:
- The construction manager for Acme Construction, Inc., must decide whether to build single-family homes, apartments, or condominiums. He estimates annual profits (in $000) will vary with the population trend as follows: Type POPULATION TREND Declining Stable Growing Single Family 200 90 70 Apartments 70 170 90 Condos (20 ) 100 220 If he feels the chances of declining, stable, and growing population trends are 40 percent, 50 percent, and 10 percent, respectively, what is his expected value of perfect information?Maximize p = 10x + 20y + 15z subject to x + 2y + z ≤ 40 2y − z ≥ 10 2x − y + z ≥ 20 x ≥ 0, y ≥ 0, z ≥ 0.City government has collected the following data on annual sales tax collections and new car registrations: Annual Sales Tax Collections (in millions) 1.0 1.4 1.9 2.0 1.8 2.1 2.3 2.5 New Car Registrations (in millions) 10 12 15 16 14 17 20 22 Determine the following: Plot these data and decide if a linear model is reasonable. Using the results of part a., find the estimated sales tax collections if new car registrations total 25,000,000.