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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 - ,

    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.

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