What is the method that was used to calculate each part? Describe the concepts used. Was there any theorems or formulas?

A store sells two brands of camping chairs. The store pays $80 for each brand A chair and $20 for each brand B chair. The research department has estimated tha the weekly demand equations for these two competitive products to be the following, where p is the selling price for brand A, q is the selling price for brand B, and ; and y are the average number of chairs sold per week. Complete parts (A) and (B) below. x = 1185 - 3p+ q Demand equation for brand A y = 489 + p -4q Demand equation for brand B (A) Determine the demands for x and y when p = $150 and q = $110. The demand for x will be (Type a whole number.) The demand for y will be (Type a whole number.) Determine the demands for x and y when p = $190 and q = $80. The demand for x will be (Type a whole number.) The demand for y will be (Type a whole number.) (B) How should the store price each chair to maximize weekly profits? What is the maximum weekly profit? [Hint: C = 80x + 20y, R = px + qy, and P = R- C.] The equation for P is P(p,q) =. Scre To maximize profit, the brand A chair should be priced at $ and the brand B chair should be priced at $ (Type integers or decimals rounded to two decimal places as needed.) The maximum weekly profit is $ per week. (Type an integer or decimal rounded to two decimal places as needed.) ock Submit test Announcements (0) No announcements during the selected timeframe Past Due Assignments (0) @ No past due assignments during the selected timeframe Current Assignments (1) ~ DEC Final Alternative Assessment