Question

The Problem In this project your group will solve the following situation: A local business plans on advertising their new pr
To solve this problem, you will need to graph the one common XY plane. 6. intersection of all five inequalities on Do this on
8 maximize the number of people who are exposed to the business advertisements, evaluate the objective function for each of t
The Problem In this project your group will solve the following situation: A local business plans on advertising their new product by purchasing advertisements on the radio and on TV. The business plans to purchase at least 60 total ads and they want to have at least twice as many TV ads as radio ads. Radio ads cost $20 each and TV ads cost $80 each. The advertising budget is $4320. It is estimated that each radio ad will be heard by 2000 listeners and each TV ad will be seen by 1500 people. How many of each type of ad should be purchased to maximize the number of people who will be reached by the advertisements? Modeling the Problem Let X be the number of radio ads that are purchased and Y be the number of TV ads.
To solve this problem, you will need to graph the one common XY plane. 6. intersection of all five inequalities on Do this on an online graphing technology (copy and paste this below). Have the bottom left be the origin, with the horizontal axis representing X and the vertical axis representing Y. Label the axes with what they represent and label your lines as you graph them. Label the vertices that you will find in Question 7. The shaded region in the above graph is called the 7. feasible region. Any (x, y) point in the region corresponds to a possible number of radio and TV ads that will meet all the requirements of the problem. However, the values that will maximize the number of people exposed to the ads will occur at one of the vertices or corners of the region. Your region should have three corners. Find the coordinates of these corners by solving the appropriate system of linear equations. Be sure to show your work and label the (x, y) coordinates of the corners in your graph.
8 maximize the number of people who are exposed to the business advertisements, evaluate the objective function for each of the vertices you found. Show your work. To find which number of radio and TV ads will 9. Write a sentence describing how many of each type of advertisement should be purchased and what is the maximum number of people who will be exposed to the ad.
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