Travel, Luggages and Vacation Packages

Pre-Calculus (Linear Programming) question here?

The future homemakers club is making canvas tote bags and leather tote bags for a money making project. Both types of tote bags will be lined with canvas and have leather handles. For the canvas tote bags, they need 4 yards of canvas and 1 yard of leather. For the leather tote bags, they need 3 yards of leather and 2 yards of canvas. Their adviser has purchased 56 yards of leather and 104 yards of canvas.
1.) If the club plans to sell the canvas bags at a profit of $20 each and the leather bags at a profit of 35 each, how many of each type of bag should be produced for the maximum profit?
2.) Determine the maximum profit

x canvas bags...4yd C.......1yd L

y leather bags 2yd C........3yd L

4x+2y =104
x+3y=56
solve the system for x, and y
y=12, x=20

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