SOLUTION: 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.
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Question 63130This question is from textbook
: 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 radios 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. This question is from textbook
You can put this solution on YOUR website! 1st: x+y<=18
2nd: 15x+20y<=300
4<=x<=15
2<=y<=14
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Solve 1st and 2nd for y to get:
3rd: y<=-x+18
4th: y<=(-3/4)x+15
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Graph:
Draw vertical lines at x=4 and x=15
Draw horizontal lines at y=2 and y=14
Graph y<=-x+18
Graph y<=(-3/4)x+15
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Cheers,
Stan H.
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