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A store sells two brands of camping chairs. The store pays $10 for each brand A chair and $80 for each brand B chair. The

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A store sells two brands of camping chairs. The store pays $10 for each brand A chair and $80 for each brand B chair. The research department has estimated that 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 x and y are the average number of chairs sold per week. Complete parts (A) and (B) below. x = 963 - 5p + q Demand equation for brand A y = 495 + p - 4q Demand equation for brand B (A) Determine the demands for x and y when p = $80 and q =$140. The demand for x will be 703 (Type a whole number.) The demand for y will be 15 (Type a whole number.) Determine the demands for x and y when p = $100 and q = $120. The demand for x will be 583 (Type a whole number.) The demand for y will be 115. (Type a whole number.) (B) How should the store price each chair to maximize weekly profits? What is the maximum weekly profit? [Hint: C = 10x + 80y, R = px + qy, and P =R- C.] The equation for P is P(p.q) = - 5p-- 5p2 - 4q~+2pq+933p + 805q - 49230 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.)

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