Pre Calc: PLEASE HELP xoxo
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 of 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 profit?

Question

Pre Calc: PLEASE HELP xoxo
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 of 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 profit?

anonymous · Answer

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

anonymous · Answer

G<7 , L<11

anonymous · Answer

plot this along with L+2G>10, L+G<12 (field restriction)

anonymous · Answer

find the corner points

anonymous · Answer

ok?

anonymous · Answer

yes :) @him1618

anonymous · Answer

u know how to do it now?

anonymous · Answer

I believe so, I'm not too good with plotting but I can figure it out now that I have a better idea :) @him1618

anonymous · Answer

plot all the constraint lines..figure out the boundary points of the region enclosed..and plug them in one by one into your profit function to see which pair gives the max value ok?

anonymous · Answer

Why cant I give best response on mobile? :( .