7. A company has two mines. Mine A can produce 1 ton of high-grade iron ore, 3 tons of medium-grade iron ore, and 5 tons of low-grade iron ore every day; Mine B can produce 2 tons of each of these three types of iron ore every day. The company's demand for these three types of iron ore is at least 80 tons, 160 tons, and 200 tons respectively. Assume that these two mines each need to spend $2,000 per day to mine iron ore. How many days do these two mines need to mine to meet market demand with the lowest mining cost? (a) Try to define variables for the above problem and establish its linear programming model. (b) Solve the above linear programming problem.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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7. A company has two mines. Mine A can produce 1 ton of high-grade
iron ore, 3 tons of medium-grade iron ore, and 5 tons of low-grade iron
ore every day; Mine B can produce 2 tons of each of these three types
of iron ore every day . The company's demand for these three types of
iron ore is at least 80 tons, 160 tons, and 200 tons respectively.
Assume that these two mines each need to spend $2,000 per day to
mine iron ore. How many days do these two mines need to mine to
meet market demand with the lowest mining cost?
(a) Try to define variables for the above problem and establish its
linear programming model.
(b) Solve the above linear programming problem.
Transcribed Image Text:7. A company has two mines. Mine A can produce 1 ton of high-grade iron ore, 3 tons of medium-grade iron ore, and 5 tons of low-grade iron ore every day; Mine B can produce 2 tons of each of these three types of iron ore every day . The company's demand for these three types of iron ore is at least 80 tons, 160 tons, and 200 tons respectively. Assume that these two mines each need to spend $2,000 per day to mine iron ore. How many days do these two mines need to mine to meet market demand with the lowest mining cost? (a) Try to define variables for the above problem and establish its linear programming model. (b) Solve the above linear programming problem.
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