A company makes 2 types of chairs: a basic chair and a deluxe chair. In one day, the company can make at most 150 chairs total. The company can make at most 100 basic chairs and at most 75 deluxe chairs. The company makes a $12 profit for each basic chair and $8 profit for each deluxe chair. Use linear programming method to solve.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.