Posted by **NICK** on Monday, September 27, 2010 at 7:32pm.

28. 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?

- 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 cut-flower business. He has 12 ...
- Math - A gardener grows roses, tulips, and sunflowers in an 18-acre public ...
- 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...
- math - joe cut three acres of grass at the smith farm which is 15% of the ...
- algebra - a farmer grows corn, tomatoes, and sunflowers on a 320 acre farm. this...
- bussiness math - Angela Hatcher is planting flower bulbs in her garden for this ...
- Algebra - A farmer has 20 acres to plant in wheat and barley. He has to plant at...
- math - A farmer grows only pumpkins and corn on her 420-acre farm. This year ...
- Math - A farmer grows only sunflowers and flax on his 240-acre farm. This year ...

More Related Questions