University Of Arizona
SIE 340
Instructor: Afrooz Jalilzadeh SIE 340 Midterm1, Monday October 5, 2:00PM-3:00PM Instruction: - Download the questions: D2L -> Assignments -> Midterm1; - Your camera should be on during the exam; - If you have a question, write your question in the chat; - This exam is closed book and closed notes; - A simple calculator with basic functions (onl
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Instructor: Afrooz Jalilzadeh SIE 340 Midterm1, Monday October 5, 2:00PM-3:00PM Instruction: - Download the questions: D2L -> Assignments -> Midterm1; - Your camera should be on during the exam; - If you have a question, write your question in the chat; - This exam is closed book and closed notes; - A simple calculator with basic functions (only perform ”+, −, ∗, /” operations) can be used; - This exam has 3 questions and 2 pages; - Take photos of or scan your solutions and submit via D2L -> Assignments -> Midterm1; - You should submit your solutions before 3pm (Arizona time). (1) Universal Mine Inc. operates three mines in West Virginia. The ore in each mine is separated into two grades before it is shipped; the daily production capacities of the mines, as well as their daily operating costs, are as follows: High-Grade Ore, tones/day Low-Grade Ore, tones/day Operating Cost, $/day Mine I 4 4 2000 Mine II 6 4 2500 Mine III 1 6 1500 Universal has committed itself to deliver 54 tones of high-grade ore and 64 tones of low-grade ore by the end of the week. Determine the number of days each mine should be operated during the upcoming week if Universal Mines is to fulfill its commitment at minimum total cost. (a) Write the decision variables and give the meaning of each decision variable. (1.5 points) (b) Write the objective function. (1 point) (c) Write the constraints and state the meaning of each constraint. (1.5 points) (d) Write the whole LP model. (1 point)
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