Garcia Solutions produces two products namely Product X and Y. Based on the analysis of current inventory and possible demand, Garcia Solutions management decided that the combined production for Products X and Y must be at least 350 gallons. Furthermore, a customer’s order for 125 gallons of Product X must be served separately. Product X requires 2 hours of processing time per gallon and Product Y requires 1 hour. For the coming month, 600 hours processing time are available. Garcia Solutions objective is to satisfy these requirements at a minimum total production cost. Production costs are P2 per gallon for Product X and P3 per gallon for Product Y. 1. Using the optimal solution derived through graphical solution, how many gallons of Product X must be produced? 2. Which of the following is the objective function for Garcia Solutions?
Garcia Solutions produces two products namely Product X and Y. Based on the analysis of current inventory and possible demand, Garcia Solutions management decided that the combined production for Products X and Y must be at least 350 gallons. Furthermore, a customer’s order for 125 gallons of Product X must be served separately. Product X requires 2 hours of processing time per gallon and Product Y requires 1 hour. For the coming month, 600 hours processing time are available. Garcia Solutions objective is to satisfy these requirements at a minimum total production cost. Production costs are P2 per gallon for Product X and P3 per gallon for Product Y. 1. Using the optimal solution derived through graphical solution, how many gallons of Product X must be produced? 2. Which of the following is the objective function for Garcia Solutions?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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Garcia Solutions produces two products namely Product X and Y. Based on the analysis of current inventory and possible demand, Garcia Solutions management decided that the combined production for Products X and Y must be at least 350 gallons. Furthermore, a customer’s order for 125 gallons of Product X must be served separately. Product X requires 2 hours of processing time per gallon and Product Y requires 1 hour. For the coming month, 600 hours processing time are available. Garcia Solutions objective is to satisfy these requirements at a minimum total production cost. Production costs are P2 per gallon for Product X and P3 per gallon for Product Y.
1. Using the optimal solution derived through graphical solution, how many gallons of Product X must be produced?
2. Which of the following is the objective function for Garcia Solutions?
A. Minimize Z = 2X + 3B
B. 1X >/= 125
C. 1X + 1B >/= 350
D. X, Y >/= 0
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