Kellie makes tables and chairs. Kellie profits \(\$ 20\) from a table \((t)\), and \(\$ 10\) from a chair (c). A table requires 15 board feet of wood, while a chair requires 4 board feet of wood. Kellie has 70 board feet available. The maximum number of tables and chairs Kellie can make in any one day is 12 . The four corner points of the system are:

a. \((0,0),(0,12),(10,2),(12,0)\)

b. \((0,0),(0,12),(2,10),\left(4 \frac{2}{3}, 0\right)\)

c. \((0,0),(17.5,0),(2,10),(12,0)\)