Posted by NICK on Monday, September 27, 2010 at 7:32pm.
28. Chase Quinn wants to expand his cutflower 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?

MATH  bobpursley, Monday, September 27, 2010 at 7:36pm
make a graph of L vs G
Plot the line l+2G>10, then the line G=7, and L<11
Your area of allowed solutions will be enclosed by these lines, and the optima will be on one of the corner intersections. Test each corner with the profit function given.
Answer This Question
Related Questions
 PreCalc  Chase Quinn wants to expand his cutflower business. He has 12 ...
 Math  A gardener grows roses, tulips, and sunflowers in an 18acre public ...
 math  joe cut three acres of grass at the smith farm which is 15% of the ...
 Algebra  A farmer plans to plant 270 acres of his farm with wheat and soybeans...
 Math  A farmer wants to plant 80 acres of corn a soybeans in a ratio of 7 to 9...
 algebra  a farmer grows corn, tomatoes, and sunflowers on a 320 acre farm. this...
 algebra  The equation a = 640s gives the relationship between s square miles ...
 math  A farmer grows only pumpkins and corn on her 420acre farm. This year ...
 Math  A farmer grows only sunflowers and flax on his 240acre farm. This year ...
 Math  Define variable and write a system of equations for this situation. Solve...
More Related Questions