April has a small business during the winter months making hats and scarves. A hat requires 2 hours on machine A, 4 hours on machine B, and 2 hours on machine C. A scarf requires 3 hours on machine A, 3 hours on machine B, and 1 hour on machine C. Machine A is available 36 hours per week, machine B is available for 42 hours, and machine C is available 20 hours per week. The profit on a hat is $7.00 and the profit on a scarf is $4.00.
Using the information in the problem, write the constraints. Let x represent the number of hats made, and y represent the number of scarves.