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A store sells two brands of camping chairs. The store pays $80 for each brand A chair and $100 for each brand B chair. The

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A store sells two brands of camping chairs. The store pays $80 for each brand A chair and $100 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 = 847 - 4p +q Demand equation for brand A y = 161 +p -2q Demand equation for brand B (A) Determine the demands for x and y when p = $100 and q = $130 The demand for x will be 577 (Type a whole number.) The demand for y will be 1 (Type a whole number.) Determine the demands for x and y when p = $140 and q = $90 The demand for x will be 377 (Type a whole number.) The demand for y will be 121 (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 + 100y, R= px + qy, and P = R -C.] The equation for P is P(p,q) =

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