An online furniture store sells chairs for $50 each and tables for $250 each. Every day, the store can ship no more than 32 pieces of furniture and must sell at least $3200 worth of chairs and tables. If 9 tables were sold, determine all possible values for the number of chairs that the store must sell in order to meet the requirements. Answer:

Question

An online furniture store sells chairs for  $50 each and tables for  $250 each. Every day, the store can ship no more than 32 pieces of furniture and must sell at least  $3200 worth of chairs and tables. If 9 tables were sold, determine all possible values for the number of chairs that the store must sell in order to meet the requirements. Answer:

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Identify Constraints: Identify the constraints given in the problem. - The store sells chairs for $50 each and tables for $250 each. - The store can ship no more than 32 pieces of furniture per day. - The store must sell at least $3200 worth of furniture per day. - The store has already sold 9 tables.Calculate Total Value: Calculate the total value of the 9 tables sold. Since each table is sold for $250, the total value for 9 tables is: 9 tables * $250/table = $2250Determine Remaining Amount: Determine the remaining amount needed to reach the $3200 sales target after selling 9 tables. The remaining amount is: $3200 - $2250 = $950Calculate Minimum Chairs: Calculate the minimum number of chairs that need to be sold to meet the remaining sales target. Since each chair is sold for $50, the minimum number of chairs needed is: $950 / $50/chair = 19 chairsCalculate Total Furniture: Calculate the total number of pieces of furniture that have been accounted for with the 9 tables and the minimum number of chairs needed. Total pieces of furniture = 9 tables + 19 chairs = 28 piecesDetermine Maximum Chairs: Determine the maximum number of chairs that can be sold without exceeding the shipping limit of 32 pieces of furniture. The maximum number of additional chairs that can be shipped is: 32 pieces - 9 tables = 23 chairsConclude Possible Chair Range: Conclude the range of possible values for the number of chairs that can be sold. The store must sell at least 19 chairs to meet the sales target and can sell up to 23 chairs without exceeding the shipping limit.

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