MATH
posted by NICK .
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?

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.
Respond to this Question
Similar Questions

Math
A farmer grows only sunflowers and flax on his 240acre farm. This year he wants to plant 80 more acres of sunflowers than that of flax. How many acres of each crop does the farmer need to plant? 
Math
Define variable and write a system of equations for this situation. Solve using substitution. A farmer grows only sunflowers and flax on his 240acre farm. This year he wants to plant 80 more acres of sunflowers than that of flax. … 
PreCalc
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 … 
Algebra
A farmer plans to plant 270 acres of his farm with wheat and soybeans. For every 2 acres of land planted with soybeans, the farmer wants to plant 7 acres of land with wheat. The farmer uses the following system of equations to determine … 
math
A farmer grows only pumpkins and corn on her 420acre farm. This year she wants to plant 250 more acres of corn than pumpkins. How many acres of each crop should the farmer plant? 
algebra
a farmer grows corn, tomatoes, and sunflowers on a 320 acre farm. this year the farmer wants to plant twice as many acres of tomatoes as sunflowers. The farmer also wants to plant 40 more acres of corn than of tomatoes. How many acres … 
Math
A gardener grows roses, tulips, and sunflowers in an 18acre public garden. This year, she wants to plant twice as many acres of sunflowers as acres of tulips. She also wants wants to plant 6 more acres of roses than of sunflowers. … 
algebra
The equation a = 640s gives the relationship between s square miles and a acres. Pam owns 7.5 square miles of farmland. How many acres does she own? 
Math
A farmer wants to plant 80 acres of corn a soybeans in a ratio of 7 to 9. How many acres of each must he plant? 
math
joe cut three acres of grass at the smith farm which is 15% of the property. how many acres are on the smith farm?