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.

Step-by-step 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 SOLUTIONSbecause in order to make at least $ 6000, they would have to sell 17 chairsbut they cant sell 17 chairs being the number of furniture pieces cant be more then 18...and they already sold 5 tablesmeaning they could only sell at most 13 chairs

step-by-step explanation:

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!