6.15 Clarissa's utility function is U(r; z) = z + 80r-r^2 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:
(a) plant 100 more zinnias and no more roses.
(b) plant 25 more roses and no more zinnias.
(c) plant 99 more zinnias and some more roses.
(d) plant 20 more roses and 20 more zinnias.
(e) do none of the above.