This is typically written as a list of constraints with the objective function

This is typically written as a list of constraints

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objective function together below. This is typically written as a list of constraints, with the objective function last. 60<= 3Y+X $6460>= 20x+ 120y X>= 0 Y>= 0 y>3x 900x +4500y
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Annabelle Lemus 6. To solve this problem, you will need to graph the intersection of all five inequalities on one common XY plane. Do this on the grid 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. Include the scale on your graph.
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Annabelle Lemus 7. The shaded region in the above graph is called the 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. x+y=60 20x+80y=4320 2x=y 2x=y x+2x+60 20x+80(2x)=4320 2(24)=y 3x/3= 60/3 180x/180= 4320/180 48=y x=20 x=24 20(60-y)+80y=4320 1200-20y+80y=4320 -1200 60y/60=3120/60 y=52 x=8 8. To find which number of radio and TV ads will maximize the number of people who are exposed to the business advertisements, evaluate the objective function P for each of the vertices you found. Show your work. One of your vertices is a point which does not have whole number coordinates.
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  • Fall '08
  • Staff
  • Optimization, Binary relation, Annabelle Lemus

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