Clarissa's utility function is U(r, z) = z + 120r

Question

Clarissa's utility function is U(r, z) = z + 120r - r², where r is the number of rose plants she has in her garden and z is the number of zinnias. She has 250 square feet to allocate to roses and zinnias. Roses each take up 4 square feet and zinnias each take up 1 square foot. She gets the plants for free from a generous friend. If she acquires another 100 square feet of land for her garden and her utility function remains unchanged, she will plant A) 99 more zinnias and some more roses. B) 20 more roses and 20 more zinnias. C) 25 more roses and no more zinnias. D) 100 more zinnias and no more roses. E) None of the above.

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The Answer of Clarissa's utility function is U(r, z) = z + 120r - r², where r is the number of rose plants she has in her garden and z is the number of zinnias. She has 250 square feet to allocate to roses and zinnias. Roses each take up 4 square feet and zinnias each take up 1 square foot. She gets the plants for free from a generous friend. If she acquires another 100 square feet of land for her garden and her utility function remains unchanged, she will plant A) 99 more zinnias and some more roses. B) 20 more roses and 20 more zinnias. C) 25 more roses and no more zinnias. D) 100 more zinnias and no more roses. E) None of the above.