On Monday evenings in April 2015, each episode of WWE Entertainment was typically watched by 3.8 million viewers, while each episode of American Dad was typically watched by 1.5 million viewers.† Your marketing services firm has been hired to promote Gauss Jordan sneakers by buying at least 40 commercial spots during episodes of WWE Entertainment and American Dad. You have been quoted a price of $4,000 per spot for WWE Entertainment and $1,000 per spot for American Dad. Gauss Jordan, Inc.'s advertising budget for TV commercials is $680,000, and it would like at least 80% of the total number of spots to appear on WWE Entertainment. How many spots should you purchase on each show to maximize exposure? HINT [Calculate exposure as Number of ads ✕ Number of viewers.] (If an answer does not exist, enter DNE.)
On Monday evenings in April 2015, each episode of WWE Entertainment was typically watched by 3.8 million viewers, while each episode of American Dad was typically watched by 1.5 million viewers.† Your marketing services firm has been hired to promote Gauss Jordan sneakers by buying at least 40 commercial spots during episodes of WWE Entertainment and American Dad. You have been quoted a price of $4,000 per spot for WWE Entertainment and $1,000 per spot for American Dad. Gauss Jordan, Inc.'s advertising budget for TV commercials is $680,000, and it would like at least 80% of the total number of spots to appear on WWE Entertainment. How many spots should you purchase on each show to maximize exposure? HINT [Calculate exposure as Number of ads ✕ Number of viewers.] (If an answer does not exist, enter DNE.)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.6: Percents Problems
Problem 4WE
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On Monday evenings in April 2015, each episode of WWE Entertainment was typically watched by 3.8 million viewers, while each episode of American Dad was typically watched by 1.5 million viewers.† Your marketing services firm has been hired to promote Gauss Jordan sneakers by buying at least 40 commercial spots during episodes of WWE Entertainment and American Dad. You have been quoted a price of $4,000 per spot for WWE Entertainment and $1,000 per spot for American Dad. Gauss Jordan, Inc.'s advertising budget for TV commercials is $680,000, and it would like at least 80% of the total number of spots to appear on WWE Entertainment. How many spots should you purchase on each show to maximize exposure? HINT [Calculate exposure as Number of ads ✕ Number of viewers.] (If an answer does not exist, enter DNE.)
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Step 1: Introduce to the given information and to determine
VIEWStep 2: Define the variables and formulate the optimization function
VIEWStep 3: Finding the intersection points of the 3 lines
VIEWStep 4: Sketching the first constraint inequality
VIEWStep 5: Sketching the second constraint inequality
VIEWStep 6: Sketching the third constraint inequality
VIEWStep 7: Sketching the solution region using the above three graphs and the intersection point
VIEWStep 8: Determining the exposure value at the endpoints of the solution region
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