1. Morelia Corporation has two assembly plants (in LA and Atlanta) and three distribution centers (St. Louis, Chicago, and Sacramento). The LA plant can produce at most 10,000 units per month, while the Atlanta plant can produce at most 7000 units per month. The St. Louis center must receive at least 5000 units per month, the Chicago center must receive at least 4000 units per month, and the Sacramento center must receive at least 8000 units per month. The costs per unit for transportation from plants to centers are given below. Set up an LP, defining the variables and writing the objective function and all constraints. LA to St. Louis, $3.50 LA to Chicago, 5 LA to Sacramento, 3 Atlanta to St. Louis, 3.50 Atlanta to Chicago, 3.75 Atlanta to Sacramento, 5.50 4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Morelia Corporation has two assembly plants (in LA and Atlanta) and three
distribution centers (St. Louis, Chicago, and Sacramento). The LA plant can
produce at most 10,000 units per month, while the Atlanta plant can
produce at most 7000 units per month. The St. Louis center must receive
at least 5000 units per month, the Chicago center must receive at least
4000 units per month, and the Sacramento center must receive at least
8000 units per month. The costs per unit for transportation from plants to
centers are given below. Set up an LP, defining the variables and writing
the objective function and all constraints.
LA to St. Louis, $3.50
LA to Chicago, 5
LA to Sacramento, 3
Atlanta to St. Louis, 3.50
Atlanta to Chicago, 3.75
Atlanta to Sacramento, 5.50
Transcribed Image Text:1. Morelia Corporation has two assembly plants (in LA and Atlanta) and three distribution centers (St. Louis, Chicago, and Sacramento). The LA plant can produce at most 10,000 units per month, while the Atlanta plant can produce at most 7000 units per month. The St. Louis center must receive at least 5000 units per month, the Chicago center must receive at least 4000 units per month, and the Sacramento center must receive at least 8000 units per month. The costs per unit for transportation from plants to centers are given below. Set up an LP, defining the variables and writing the objective function and all constraints. LA to St. Louis, $3.50 LA to Chicago, 5 LA to Sacramento, 3 Atlanta to St. Louis, 3.50 Atlanta to Chicago, 3.75 Atlanta to Sacramento, 5.50
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