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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 is the number of AM/FM radios.
The equations for this system are:
AM Radios:
AM/FM Radios:
Plant's Capacity:

A small firm produces both AM and AM/FM car radios. The AM radios take 15h to produce, and the AM/FM radios take 20h. The number of production hours is limited to 300h per week. The plant 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 is the number of AM/FM radios.

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Solution Summary

The solution is a detailed guide on the system of inequalities representing the two types radios production capacities of a factory. It also includes detailed steps on how to graph the feasible region with the given constraints.

Solution Preview

Please see the attached file for step-by-step solution and graph.

(a) Then it takes 15x hours to produces these AM radios
And 20y ...

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