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A store sells two brands of camping chairs. The store pays $30 for each brand A chair and $40 for each brand B chair. The
A store sells two brands of camping chairs. The store pays $30 for each brand A chair and $40 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 = 692 - 4p+ q Demand equation for brand A y = 699 +p -5q Demand equation for brand B (A) Determine the demands for x and y when p = $80 and q = $100. 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 = $100 and q = $70. 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 = 30x + 40y, R = px + qy, and P = R - C.] The equation for P is P(p.q) = . 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.)
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