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Clarissa's utility function is U(r, z) = z + 160r - 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, she will plant.

The answer is max( 1, min(99, zdem + 100)) more zinnias and some more roses.

Could you please work out the problem for me? 

Microeconomics, Economics

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