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.

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

G<7 , L<11

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

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