please help!! how do you solve for x and y ? I'm not sure what's next I've always had trouble with this I'm guessing 3x+4y=120 and 2x+1y=60 ? its also asking me to provide the optimum profit I'm confused with this whole assignment

1. Your business involves manufacturing fans and air conditioners. Each of these requires a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan takes 4 hour of wiring and 1 hours of drilling. During the next production period, 120 hours of wiring time are available and up to 60) hours of drilling time are available, Each air conditioner sold yields a profit of $90. Each fan sold yields a profit of $100, Formulate and solve this Linear Programming production mix situation to find the best combination of air conditioners and fans that yields the highest profit. You will need to draw a chart and use the corner point solution method to solve for the optimal mix. STEP 1 Fill in the data table (10 pts) AC, X Fans, Y Available Hours Wiring 120 J - mich Drilling 40 Profit, 5 10 0 $ STEP 2 Construct an X-Y axis that can hold the constraints of both items. Let each axis represent an item. The X axis will represent the AC (air conditioners), and the Y axis will represent the Fans.(20 pts] ed to connect all Plot the maximum number of each item that could be created within each particular constraint (for example, Wiring or Drilling) on the X-Y axes, and draw a line to connect the points. Repeat for each item. (You may either draw your own chart, or use the one that is on the next page.)