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Problem 2. (6 points): For any real number m, let fm be the function dened by
fm(:c, y) = m2 + my2 + 2m.
In function of m, nd the stationary points of fm and determine their nature (sa
Nabil Kahouadji, Ph.D.
Math 368, Winter 2016
Mathematics Department
Introduction to Optimization
Math 368: Syllabus
Instructor and Teaching Assistant Contact Information
Role
Name
Contact
Phone/Fax:
O
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Problem 2. (4 points): Write the dual program of the following linear programming problem.
No need to solve the dual nor the primal.
Minimize z = 7561 + 61:2 4223
St 3m + 8x2 5:133 2
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Problem 4. (8 points): In your 100-acre farm, you are planning to grow tomatoes, lettuce, and
carrots in the coming planting season. Fertilizer costs per acre : $5 for tomatoes,
, OPTIMIZE : max 0/ mm
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7* ALL OdvLa sahsgrg CmsMkhw+5 / nap/15mg
T. 54:}? mp *Eémie sp/Lcnm W FQJI'PLE
(Could be em;y>