Chase Quinn wants to expand his cut-flower business. He has 12 additional acres on which he intends to plant lilies and gladioli. He can plant at most 7 acres or gladiolus bulbs and no more than 11 acres of lilies. In addition, the number of acres planted to gladioli G can be no more than twice the number of acres planted to lilies l. The inequality L+2G=10 represents his labor restrictions. If his profits are represented by the function f(L, G)=300L+200G, how many acres of lilies should he plant to maximize his profits?
Please no direct answers. I just need help setting up inequalities.

Question

Chase Quinn wants to expand his cut-flower business.  He has 12 additional acres on which he intends to plant lilies and gladioli.  He can plant at most 7 acres or gladiolus bulbs and no more than 11 acres of lilies.  In addition, the number of acres planted to gladioli G can be no more than twice the number of acres planted to lilies l.  The inequality L+2G>=10 represents his labor restrictions.  If his profits are represented by the function f(L, G)=300L+200G, how many acres of lilies should he plant to maximize his profits?
Please no direct answers.  I just need help setting up inequalities.

anonymous · Answer

the inequality** L + 2G >or equal to 10

anonymous · Answer

G<7 , L<11

haleyelizabeth2017 · Answer

I think that it is $$L+G\le12$$$$G\le7$$$$L\le11$$right?

haleyelizabeth2017 · Answer

as well as $$L+2G\ge10$$