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Lp Formulation Quiz

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Lp Formulation Quiz
QUIZ LP Formulation

1. ACME Co. is a manufacturer of X’s which they sell to OR/MS teachers to be used as variables. For this week they intend to manufacture two types of X’s, namely, X1’s & X2’s. The profit contribution for each unit of X1 & X2 are $4 and $5, respectively. Mr. Loony, the manager of ACME, found out that his available supply of raw material 1 (RM1) and raw material 2 (RM2) are 18 units and 24, respectively. Each unit of X1 will require 3 units of RM1 and 3 units of RM2 while each unit of X2 will require 2 units of RM1 and 4 units of RM2. Weekly demand for X1 is about 5 units while that for X2 is about 7 units. Plant capacity of ACME Co. is 6 for X1 and 5 for X2. Formulate an LP model (objective function & constraints) than can be employed to solve for the optimal product mix.

|Min. or Max. |X1 |X2 | |RHS |
|Objective Function | | | | |
|Raw Material 2 | | | | |
|Demand for X1 | | | | |
|Demand for X2 | | | | |
|Capacity for X1 | | | | |
|Capacity for X2 | | | | |

2. Konstruct Inc. has two (2) cement batching plants that need to deliver to three (3) job sites. The capacities the said plants & requirements of the said projects together with the cost of delivering each cubic meter of cement are presented below. Formulate an LP model that would minimize the cost of transporting
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