The quantity demanded of a hand-woven rug is 3000 per month, when the unit price is $500. For each decrease in the unit price of $40, the quantity demanded increases by 200 units. When the price is $100 or fewer sellers are not willing to sell any hand-woven rugs, but at a price of $750 they are willing to sell as much as 4550 hand-woven rugs per month.If the demand and supply functions are assumed to be linear

Find the demand function

Find the supply function

Find the approximate equilibrium quantity and price