SOLUTION: A transport company delivers vegetables and flowers using lorries and vans. Each lorry carries 40 boxes of flowers and 50 boxes of vegetables. Each van carries 20 boxes of flowers

Algebra ->  Inequalities -> SOLUTION: A transport company delivers vegetables and flowers using lorries and vans. Each lorry carries 40 boxes of flowers and 50 boxes of vegetables. Each van carries 20 boxes of flowers       Log On


   

Question 1181284: A transport company delivers vegetables and flowers using lorries and vans. Each lorry carries 40 boxes of flowers and 50 boxes of vegetables. Each van carries 20 boxes of flowers and 40 boxes of vegetables. In a day, the company uses x lorries and y vans. The following conditions must be satisfied.
I) The total number of boxes of flowers must be less or equal to 800.
II) The total number of boxes of vegetables must be at least 600.
III) The number of vans must not be more than two times the number of lorries used.
Write down three inequalities other than x >= 0 and y >= 0 that satisfy all the above conditions.
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
A transport company delivers vegetables and flowers using lorries and vans.
Each lorry carries 40 boxes of flowers and 50 boxes of vegetables.
Each van carries 20 boxes of flowers and 40 boxes of vegetables.
In a day, the company uses x lorries and y vans. The following conditions must be satisfied.
I) The total number of boxes of flowers must be less or equal to 800.
II) The total number of boxes of vegetables must be at least 600.
III) The number of vans must not be more than two times the number of lorries used.
Write down three inequalities other than x >= 0 and y >= 0 that satisfy all the above conditions.
~~~~~~~~~~~~~~~~~~ 


You write inequalities as you read restrictions:


(I)    40x + 20y <= 800     (1)    ("The total number of boxes of flowers must be less or equal to 800.")


(II)   50x + 40y >= 600     (2)    ("The total number of boxes of vegetables must be at least 600.")


(III)  y <= 2x              (3)    ("The number of vans must not be more than two times the number of lorries used.")

Solved.