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

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

the answer on ed. is:

c. "the graph of f(x) has exactly two x-intercepts."

hope i could someone! : )