An online furniture store sells chairs for $\$ 50$ each and tables for $\$ 250$ each. Every day, the store can ship no more than $44$ pieces of furniture and must sell a minimum of $\$ 6000$ worth of chairs and tables. If $28$ chairs were sold, determine the minimum number of tables that the store must sell in order to meet the requirements. $\newline$ Answer:

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Q. An online furniture store sells chairs for

\$ 50

each and tables for

\$ 250

each. Every day, the store can ship no more than

44

pieces of furniture and must sell a minimum of

\$ 6000

worth of chairs and tables. If

28

chairs were sold, determine the minimum number of tables that the store must sell in order to meet the requirements.

\newline

Answer:

Calculate Total Sales: Calculate the total sales from the chairs. $\newline$ Since each chair is sold for $\$50$ and $28$ chairs have been sold, we multiply the number of chairs by the price per chair to find the total sales from chairs. $\newline$ Total sales from chairs = $28$ chairs $*$ $\$50/chair$ = $\$1400$ .
Calculate Minimum Sales: Calculate the minimum total sales required from tables to meet the daily sales requirement. $\newline$ The store needs to sell at least $\$6000$ worth of furniture daily. Since we already have the sales from chairs, we subtract that amount from the total required sales to find the remaining amount that must come from table sales. $\newline$ Minimum sales from tables = $\$6000 - \$1400 = \$4600$ .
Calculate Minimum Tables: Calculate the minimum number of tables that need to be sold to meet the sales requirement from tables. $\newline$ Each table is sold for $\$250$ , so we divide the minimum sales required from tables by the price per table to find the minimum number of tables that need to be sold. $\newline$ Minimum number of tables = $\$4600 / \$250/\text{table} \approx 18.4$ tables. $\newline$ Since we cannot sell a fraction of a table, we round up to the nearest whole number. $\newline$ Minimum number of tables = $19$ tables.
Check Daily Limit: Check if the total number of pieces of furniture to be shipped does not exceed the daily limit. The store can ship no more than $44$ pieces of furniture daily. We have already sold $28$ chairs, so we add the minimum number of tables to this to ensure it does not exceed the limit. Total pieces of furniture = $28$ chairs + $19$ tables = $47$ pieces. This exceeds the daily shipping limit of $44$ pieces, indicating an error in our calculation.