# HW3-OM - Carlos Ivn Chvez Lpez A01273482 Chapter 3 Review...

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Carlos Iván Chávez López A01273482 Chapter 3 Review Questions 1. Identify the general mathematical form of the basic LP model. Max Z = c1x1 + c2x2 + … + cnxn subject to a11 x1 + a12 x2 + … + a1n xn <>= b1 a21 x1 + a22 x2 + … + a2n xn <>= b2 a31 x1 + a32 x2 + … + a3n xn <>= b3 am1 x1 + am2 x2 +…+ amn xn <>= bm x1 ,x2 , … xn >= 0 - Where x1, x2,…xn are the decision variables. - a11, a12,…, a1n, a21, a22,…, a2n, etc. represent coefficients of the physical substitution rate (usage); for instance, to describe the rate of usage of raw material i, in the production of the item j. - c1, c2, …, cn are the coefficients of contribution to the objective function. - b1, b2, …, bn are the available resources of raw material. 2. Briefly describe the procedures/steps that should be employed in formulating a problem as an LP model. 1. To identify and to define the decision variables (xj) associated with the problem, including their units of measure. 2. To identify the coefficients of contribution (cj) associated to each variable, including their units of measure. 3. To formulate the objective function and to verify consistency in units of measure. 4. To identify the physical substitution rate coefficients (aij), including the corresponding units of measure. 5. To identify the available resources or requirements to fulfill, that is, the coefficients of the right hand side (bi). They are values appearing to the right

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Carlos Iván Chávez López A01273482 Chapter 3 hand side of the equality (or inequality) sign in the constraint equations. It
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