SOLUTION: Draw the appropriate graphs in each of the following. A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The

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Question 92118: Draw the appropriate graphs in each of the following.
A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant�s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM adios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios.

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Draw the appropriate graphs in each of the following.
Let x be the number of AM radios and y the number of AM/FM radios.
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The AM radios take 15 h to produce, and the AM/FM radios take 20 h.
The number of production hours is limited to 300 h per week.
Production inequality: 15x + 20y <= 300
Solve this for y <= (-3/4)x + 15
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The plant�s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM adios be produced per week.
Quantity inequalities:
4<=x<=18
3<=y<=18
x+y<=18
Solve this for y <= -x + 18
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Then, draw a graph of the feasible region given these conditions,
Draw vertical lines at x=4 and x=18 on the following graph:

Find the coordinates of the vertices of the enclosed area.
You don't have an objective function to evaluate so I guess
you are finished when you have the graph.
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Cheers,
Stan H.