Suppose that the supply and demand for sunglasses are

p=0.8q+6

p=-1.2q+14

Where p is the price in dollars and q is the quantity in hundreds.

a. Find the supply and demand (to the nearest unit) if sunglasses are sold for $7 each.

Discuss the stability of the sunglasses market at this price.

b. Find the supply and demand (to the nearest unit) if sunglasses are sold for $11 each.

Discuss the stability of sunglasses market at this price.

c. Find the equilibrium price and quantity

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.