The Hardgrave Machine Company produces computer components at its plants in Kingston, ON; Prince George, BC; and Sudbury, ON. These plants supply the demand for orders at Hardgrave's two warehouses in Hamilton and Regina. The tables below present the information of: (1) the production cost and capacity for each of the three plants, and the demand at each of the two warehouses Production Plant Kingston Prince George Sudbury Warehouse Hamilton Regina Monthly Supply (units) 15,000 20,000 25,000 Monthly Demand (Units) 35,000 30,000 Production Cost per Unit (S) $50 $55 $45 Transportation costs per unit from each plant to each warehouse are summarized in the following table: To: Hamilton From: Kingston Prince George Sudbury $10 $25 $15 Regina $20 $30 $20 Recent regulations require that no more than 8,000 units are to be shipped from the plant in Kingston to the Warehouse located in Hamilton. Also, at least 30% of the total computer components shipped to the warehouse in Regina are from the plant in Prince George. Formulate algebraically the above problem to help Hardgrave satisfy the demand at the warehouses at the lowest production and transportation costs. Define the decision variables, objective function, and constraints. DO NOT SOLVE.
The Hardgrave Machine Company produces computer components at its plants in Kingston, ON; Prince George, BC; and Sudbury, ON. These plants supply the demand for orders at Hardgrave's two warehouses in Hamilton and Regina. The tables below present the information of: (1) the production cost and capacity for each of the three plants, and the demand at each of the two warehouses Production Plant Kingston Prince George Sudbury Warehouse Hamilton Regina Monthly Supply (units) 15,000 20,000 25,000 Monthly Demand (Units) 35,000 30,000 Production Cost per Unit (S) $50 $55 $45 Transportation costs per unit from each plant to each warehouse are summarized in the following table: To: Hamilton From: Kingston Prince George Sudbury $10 $25 $15 Regina $20 $30 $20 Recent regulations require that no more than 8,000 units are to be shipped from the plant in Kingston to the Warehouse located in Hamilton. Also, at least 30% of the total computer components shipped to the warehouse in Regina are from the plant in Prince George. Formulate algebraically the above problem to help Hardgrave satisfy the demand at the warehouses at the lowest production and transportation costs. Define the decision variables, objective function, and constraints. DO NOT SOLVE.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:The Hardgrave Machine Company produces computer components at its plants in Kingston, ON;
Prince George, BC; and Sudbury, ON. These plants supply the demand for orders at Hardgrave's two
warehouses in Hamilton and Regina.
The tables below present the information of: (i) the production cost and capacity for each of the three
plants, and the demand at each of the two warehouses
Monthly Supply
(units)
15,000
20,000
25,000
Production
Production Cost per Unit (S)
Plant
Kingston
Prince George
Sudbury
S50
S55
S45
Monthly Demand
(Units)
35,000
30,000
Warehouse
Hamilton
Regina
Transportation costs per unit from each plant to each warehouse are summarized in the following
table:
To:
From:
Kingston
Prince George
Sudbury
Hamilton
Regina
$10
S20
$25
S30
S20
$15
Recent regulations require that no more than 8,000 units are to be shipped from the plant in Kingston to
the Warehouse located in Hamilton. Also, at least 30% of the total computer components shipped to the
warehouse in Regina are from the plant in Prince George.
Formulate algebraically the above problem to help Hardgrave satisfy the demand at the warehouses at
the lowest production and transportation costs. Define the decision variables, objective function, and
constraints. DO NOT SOLVE.
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