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A store sells two brands of camping chairs. The store pays $90 for each brand A chair and $30 for each brand B chair. The

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A store sells two brands of camping chairs. The store pays $90 for each brand A chair and $30 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=3372p+qy=642+p4q Demand equation for brand A Demand equation for brand B (A) Determine the demands for x and y when p=$70 and q=$150. 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 whert p=$80 and q=$140. 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=90x+30y,R=px+qy, and P=RC.] 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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