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You are the manager of a firm, G&B Construction Supplies that provides fill gravel to construction sites. The material is purchased wholesale from three different suppliers (A,B,C) for $160/ton, $140/ton and $170/ton, respectively. The firm must satisfy weekly gravel demand at four different constructions sites as shown in Table 1. The available supply, demand and per unit shipping costs for the operation is also given in Table 1. Table 1 Supply and Demand Figures for Construction Firm Supplier Site 1 Site 2 Site 3 Site 4 Supply A $32 $19 $42 $38 730 B $42 $38 $27 $36 1206 C $24 $18 $26 $29 672 Demand 460 575 720 670 For example Supplier A can provide a maximum of 730 tons of gravel per week at a cost of $160/ton (stated above) and for every ton of material shipped to Site 1, a cost of $32 is incurred. G&B Construction Supplies is also contracted to provide a total of 460 tons each week to Site 1. Your task is to formulate a linear program that will identify the optimal shipment strategy for your operation to keep costs as low as possible. Define the following; (a) The decision variables, (b) The constraints which the objective function must satisfy. (c) The objective function

You are the manager of a firm, G&B Construction Supplies that provides fill gravel to construction sites. The material is purchased wholesale from three different suppliers (A,B,C) for $160/ton, $140/ton and $170/ton, respectively. The firm must satisfy weekly gravel demand at four different constructions sites as shown in Table 1. The available supply, demand and per unit shipping costs for the operation is also given in Table 1. Table 1 Supply and Demand Figures for Construction Firm Supplier Site 1 Site 2 Site 3 Site 4 Supply A $32 $19 $42 $38 730 B $42 $38 $27 $36 1206 C $24 $18 $26 $29 672 Demand 460 575 720 670 For example Supplier A can provide a maximum of 730 tons of gravel per week at a cost of $160/ton (stated above) and for every ton of material shipped to Site 1, a cost of $32 is incurred. G&B Construction Supplies is also contracted to provide a total of 460 tons each week to Site 1. Your task is to formulate a linear program that will identify the optimal shipment strategy for your operation to keep costs as low as possible. Define the following; (a) The decision variables, (b) The constraints which the objective function must satisfy. (c) The objective function

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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You are the manager of a firm, G&B Construction Supplies that provides fill gravel to construction sites. The material is purchased wholesale from three different suppliers (A,B,C) for $160/ton, $140/ton and $170/ton, respectively. The firm must satisfy weekly gravel demand at four different constructions sites as shown in Table 1. The available supply, demand and per unit shipping costs for the operation is also given in Table 1. Table 1 Supply and Demand Figures for Construction Firm Supplier Site 1 Site 2 Site 3 Site 4 Supply A $32 $19 $42 $38 730 B $42 $38 $27 $36 1206 C $24 $18 $26 $29 672 Demand 460 575 720 670 For example Supplier A can provide a maximum of 730 tons of gravel per week at a cost of $160/ton (stated above) and for every ton of material shipped to Site 1, a cost of $32 is incurred. G&B Construction Supplies is also contracted to provide a total of 460 tons each week to Site 1. Your task is to formulate a linear program that will identify the optimal shipment strategy for your operation to keep costs as low as possible. Define the following; (a) The decision variables, (b) The constraints which the objective function must satisfy. (c) The objective function
Transcribed Image Text:You are the manager of a firm, G&B Construction Supplies that provides fill gravel to construction sites. The material is purchased wholesale from three different suppliers (A,B,C) for $160/ton, $140/ton and $170/ton, respectively. The firm must satisfy weekly gravel demand at four different constructions sites as shown in Table 1. The available supply, demand and per unit shipping costs for the operation is also given in Table 1. Table 1 Supply and Demand Figures for Construction Firm Supplier Site 1 Site 2 Site 3 Site 4 Supply A $32 $19 $42 $38 730 B $42 $38 $27 $36 1206 C $24 $18 $26 $29 672 Demand 460 575 720 670 For example Supplier A can provide a maximum of 730 tons of gravel per week at a cost of $160/ton (stated above) and for every ton of material shipped to Site 1, a cost of $32 is incurred. G&B Construction Supplies is also contracted to provide a total of 460 tons each week to Site 1. Your task is to formulate a linear program that will identify the optimal shipment strategy for your operation to keep costs as low as possible. Define the following; (a) The decision variables, (b) The constraints which the objective function must satisfy. (c) The objective function
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