Suppose that in a certain market the demand function for a product is given by

10p + q = 2,100

and the supply function is given by

50p q = 1,350.

(Assume price is measured in dollars.) If the government levies a tax of $3 per item, find the equilibrium point after the tax is levied. The tax is added to the selling price of the product.

(q,p) =

Stutz Department Store will buy 10 pairs of sunglasses if the price is $76per pair and 30 pairs if the price is $26. The supplier of the sunglasses is willing to provide 35 pairs if the price is $81per pair but only 5 pairs if the price is $21. Assuming that the supply and demand functions for the sunglasses are linear, find the market equilibrium point.

(q,p) =