Math Is Fun Forum

Draw the appropriate graphs in each of the following. ok I have been trying to draww a graph but I can't seem to it right and can someone see if my answer is right   

20. 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.

In a system, x & y have to represent the same thing in all equations/inequalities. As you have it, in the first inequality X & Y are hours, and in the second it's radios.

X= number of AM radios
Y= number of AM/FM radios

15x+20y <= 300
x => 4
y => 3
x+y <=18