A department store sells two brands of inexpensive calculators. The

store pays $6 for each brand A calculator and $8 for each brand B

calculator. The research department has estimated the weekly

demand equations for these two products to be:

Qa = 116 - 30Pa + 20Pb (demand equation for brand A)

Qb = 144 + 16Pa - 24Pb (demand equation for brand B)

Where Pa is the selling price for brand A and Pb is the selling price

for brand B.

a)How should the store price each calculator to maximize weekly profits?

b)What is the maximum weekly profit?