![Plotting Department Constraints for Production Optimization Plotting Department Constraints for Production Optimization](https://easy-peasy.ai/cdn-cgi/image/quality=80,format=auto,width=700/https://fdczvxmwwjwpwbeeqcth.supabase.co/storage/v1/object/public/images/f9ee0150-287c-4345-abd9-994003f1ef37/f9ef8d71-fdae-46ab-8d4c-7790d0793cb2.png)
Production Constraints Graph for Department 1 and Department 2
Prompt
Illustrate a two-dimensional graph where the x-axis represents tables and the y-axis represents chairs. Draw two lines for Department 1 and Department 2 using the equations 3x + 6y = 120 and 6x + 3y = 96, respectively. The intercepts for Department 1 line are at (0, 20) and (40, 0) and for Department 2 line are at (0, 32) and (16, 0). Shade the area below each line to show the production limitations due to department hours. Highlight the overlapping shaded region, which represents the feasible zone where both constraints are met simultaneously.
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