The Smart Fertilizer Company produces two types of soil, Fastgro and Nergy. The company has developed the following non-linear optimization model to determine the optimal number of bags of Fastgro (x1) and Nergy (x2) that it must produce each day to maximize profit, given the constraint for available clay. Determine the optimal number of Fastgro and Nergy bags to create to maximize profit. max Profit($) = 30x1 −2x21 + 25x2 −0.5x22 subject to 3x1 + 6x2 = 300 x1, x2 ≥0 x1, x2 integer

The Smart Fertilizer Company produces two types of soil, Fastgro and Nergy. The company has developed the following non-linear optimization model to determine the optimal number of bags of Fastgro (x1) and Nergy (x2) that it must produce each day to maximize profit, given the constraint for available clay. Determine the optimal number of Fastgro and Nergy bags to create to maximize profit. max Profit($) = 30x1 −2x21 + 25x2 −0.5x22 subject to 3x1 + 6x2 = 300 x1, x2 ≥0 x1, x2 integer

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 45P

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