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A brand manager for ColPal Products must determine how much time to allocate between radio and television advertising during the next month. Market research has provided information on audience exposure, which the manager would like to maximize. After reviewing the research, the manager found the following linear optimization model for audience exposure, where x is the number of minutes of radio ads and y is the number of minutes of TV ads. Graph the constraints and identify the feasible region. Then identify each of the corner points and show how increasing the objective function value identifies the optimal solution. Maximize Exposure = 360x+790y 400x+2000y ≤24,000 x-3y ≤0 x20 and y 20 remory the graph of the feasible region. Chouse the corell graph below. OA Ay 20- OB. 10- G '50' 100 Identify the vertices of the given feasible region. 45 15 (0,0). (0,12) 2 2 Q Q 20- 20 20- 10- G '50' 100 50 100 10- G (Type an ordered pair, using integers or decimals rounded to two decimal places as needed. Use a comma to separate answers as needed.) The optimal solution is to purchase minutes of radio ads and minutes of tv ads, which gives the (Round to two decimal places as needed.) value of the objective function, ☐ 50 100

A brand manager for ColPal Products must determine how much time to allocate between radio and television advertising during the next month. Market research has provided information on audience exposure, which the manager would like to maximize. After reviewing the research, the manager found the following linear optimization model for audience exposure, where x is the number of minutes of radio ads and y is the number of minutes of TV ads. Graph the constraints and identify the feasible region. Then identify each of the corner points and show how increasing the objective function value identifies the optimal solution. Maximize Exposure = 360x+790y 400x+2000y ≤24,000 x-3y ≤0 x20 and y 20 remory the graph of the feasible region. Chouse the corell graph below. OA Ay 20- OB. 10- G '50' 100 Identify the vertices of the given feasible region. 45 15 (0,0). (0,12) 2 2 Q Q 20- 20 20- 10- G '50' 100 50 100 10- G (Type an ordered pair, using integers or decimals rounded to two decimal places as needed. Use a comma to separate answers as needed.) The optimal solution is to purchase minutes of radio ads and minutes of tv ads, which gives the (Round to two decimal places as needed.) value of the objective function, ☐ 50 100

Essentials of Business Analytics (MindTap Course List)
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter15: Decision Analysis
Section: Chapter Questions
Problem 5P: Hudson Corporation is considering three options for managing its data warehouse: continuing with its...
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A brand manager for ColPal Products must determine how much time to allocate between radio and television advertising during the next month. Market research has provided information on audience exposure, which the manager would like to maximize. After reviewing the research, the manager found the following linear optimization model for audience exposure, where x is the number of minutes of radio ads and y is the number of minutes of TV ads. Graph the constraints and identify the feasible region. Then identify each of the corner points and show how increasing the objective function value identifies the optimal solution. Maximize Exposure = 360x+790y 400x+2000y ≤24,000 x-3y ≤0 x20 and y 20 remory the graph of the feasible region. Chouse the corell graph below. OA Ay 20- OB. 10- G '50' 100 Identify the vertices of the given feasible region. 45 15 (0,0). (0,12) 2 2 Q Q 20- 20 20- 10- G '50' 100 50 100 10- G (Type an ordered pair, using integers or decimals rounded to two decimal places as needed. Use a comma to separate answers as needed.) The optimal solution is to purchase minutes of radio ads and minutes of tv ads, which gives the (Round to two decimal places as needed.) value of the objective function, ☐ 50 100
Transcribed Image Text:A brand manager for ColPal Products must determine how much time to allocate between radio and television advertising during the next month. Market research has provided information on audience exposure, which the manager would like to maximize. After reviewing the research, the manager found the following linear optimization model for audience exposure, where x is the number of minutes of radio ads and y is the number of minutes of TV ads. Graph the constraints and identify the feasible region. Then identify each of the corner points and show how increasing the objective function value identifies the optimal solution. Maximize Exposure = 360x+790y 400x+2000y ≤24,000 x-3y ≤0 x20 and y 20 remory the graph of the feasible region. Chouse the corell graph below. OA Ay 20- OB. 10- G '50' 100 Identify the vertices of the given feasible region. 45 15 (0,0). (0,12) 2 2 Q Q 20- 20 20- 10- G '50' 100 50 100 10- G (Type an ordered pair, using integers or decimals rounded to two decimal places as needed. Use a comma to separate answers as needed.) The optimal solution is to purchase minutes of radio ads and minutes of tv ads, which gives the (Round to two decimal places as needed.) value of the objective function, ☐ 50 100
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