An online furniture store sells chairs for $200 each and tables for $800 each. Every day, the store can ship at most 19 pieces o
f furniture and must sell a minimum of $8000 worth of chairs and tables. If 7 chairs were sold, determine the minimum number of tables that the the store must sell in order to meet the requirements. If there are no possible solutions, submit an empty answer.
Let t represent the number of table sales required to meet revenue requirements. The total of sales for the day must be ...
7(200) +t(800) ≥ 8000
800t ≥ 6600 . . . . . . . . . . subtract 1400
t ≥ 8.25
If additional sales are limited to tables, the store must sell at least 9 tables. The revenue goal can also be met by selling 1 chair and 8 tables. (A chair brings in 0.25 times the revenue of a table.)
If the store sells 5 more chairs, it only needs to sell 7 tables. (This combination will result in 19 pieces being sold.)
