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An online furniture store sells chairs for each and tables for each. Every day, the store can ship a maximum of pieces of furniture and must sell a minimum of worth of chairs and tables. If chairs were sold, determine the minimum number of tables that the store must sell in order to meet the requirements.Answer:
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Q. An online furniture store sells chairs for each and tables for each. Every day, the store can ship a maximum of pieces of furniture and must sell a minimum of worth of chairs and tables. If chairs were sold, determine the minimum number of tables that the store must sell in order to meet the requirements.Answer:
- Calculate Revenue: Calculate the revenue from the sale of chairs.Revenue from chairs Revenue from chairs Revenue from chairs $= \$(\(3000\))
- Remaining Revenue Calculation: Calculate the remaining revenue needed to meet the minimum revenue requirement after selling \(15\) chairs.\(\newline\)Minimum required revenue = \(\$12000\)\(\newline\)Revenue from \(15\) chairs = \(\$3000\)\(\newline\)Remaining revenue needed = Minimum required revenue - Revenue from \(15\) chairs\(\newline\)Remaining revenue needed = \(\$12000 - \$3000\)\(\newline\)Remaining revenue needed = \(\$9000\)
- Minimum Tables Needed: Calculate the minimum number of tables needed to meet the remaining revenue requirement.\(\newline\)Revenue per table = \(\$600\)\(\newline\)Remaining revenue needed = \(\$9000\)\(\newline\)Minimum number of tables needed = Remaining revenue needed / Revenue per table\(\newline\)Minimum number of tables needed = \(\$9000 / \$600\)\(\newline\)Minimum number of tables needed = \(15\)
- Check Shipping Capacity: Check if the total number of pieces of furniture shipped does not exceed the maximum shipping capacity.\(\newline\)Total chairs sold = \(15\)\(\newline\)Total tables needed = \(15\)\(\newline\)Total pieces of furniture = Total chairs sold + Total tables needed\(\newline\)Total pieces of furniture = \(15 + 15\)\(\newline\)Total pieces of furniture = \(30\)
- Verify Total Furniture: Verify that the total number of pieces of furniture is within the shipping limit.\(\newline\)Maximum shipping capacity = \(32\) pieces\(\newline\)Total pieces of furniture = \(30\) pieces\(\newline\)Since \(30\) is less than \(32\), the shipping capacity is not exceeded.
