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Archy [21]
3 years ago
9

An online furniture store sells chairs for $100 each and tables for $550 each. Every day, the store can ship at most 25 pieces o

f furniture and must sell no less than $7000 worth of chairs and tables. If 9 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

(10, 11, 12, 13, 14, 15, 16)

Step-by-step explanation:

The minimum number of tables that the store has to sell in order to meet the requirements is given by:

(25-t)*100+t*550=7,000\\(550-100)t=7,000-2,500\\t = 10\ tables

The company must sell at least 10 tables.

Since the company already sold 9 chairs, and they can ship at most 25 items, they can sell at most 16 tables. Every integer number between the minimum and maximum is also possible:

(10, 11, 12, 13, 14, 15, 16).

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