Question

An online furniture store sells chairs for $150 each and tables for $700 each. Every day, the store can ship at most 18 pieces of furniture and must sell a minimum of $6000 worth of chairs and tables. If 5 tables were sold, determine the minimum number of chairs that the the store must sell in order to meet the requirements. If there are no possible solutions, submit an empty answer.

Answer 1

Explanation:

c + t < = 18

150c + 700t > = 6000

if 5 tables were sold...

150c + 700(5) > = 6000 c + t < = 18

150c + 3500 > = 6000 c + 5 < = 18

150c > = 6000 - 3500 c < = 18 - 5

150c > = 2500 c < = 13

c > = 2500/150

c > = 16.67

NO POSSIBLE SOLUTIONS......because in order to make at least $ 6000, they would have to sell 17 chairs....but they cant sell 17 chairs being the number of furniture pieces cant be more then 18...and they already sold 5 tables....meaning they could only sell at most 13 chairs