1, Pam Alnwick used to live in a province where the Harmonized SalesTax, HST, was 17%. She recently moved to a state in the US where sales tax is 6.4%. Whenshopping, the task of comparing American prices with Canadian prices was further complicated by the factthat, at the time of hermove, the Canadian dollar was worth 0.71US$. After thinking aboutit, she calculated a number K so that apre-tax shelf price of AUS$ could be sensibly compared with apre-tax shelf price of CCDN$, so as to take into account the different sales tax rates. Her K had the property that if AK=C, then theafter-tax costs in Canadian dollars were thesame, while if AK is less(greater) thanC, then, aftertaxes, the American(Canadian) price is cheaper. FindPam's multiplier K.

Pam's multiplier K is =

. (Type an integer or decimal rounded to four decimal places asneeded.)

2.Suppose consumers will demand 70 units of a product when the price is $16.80 per unit and 25 units when the price is $20.80 each. Find the demandequation, assuming that it is linear. Find the price per unit when 65 units are demanded.

Find the demandequation, where p is the price per unit and q is the quantity of units demanded.

p=

(Simplify youranswer.)

3.The demand function for amanufacturer's product is p=f(q)=0.15q+315, where p is the price(in dollars) per unit when q units are demanded(per day). Find the level of production that maximizes themanufacturer's total revenue and determine this revenue.

What quantity will maximize therevenue?

q=

units