Answered step by step
Verified Expert Solution
Question
1 Approved Answer
A mining company owns two mines, each of which produces three grades (high, medium, and low) of ore. The company has a contract to supply
A mining company owns two mines, each of which produces three grades (high, medium, and low) of ore. The company has a contract to supply a smelting company with at least 12 tons of high-grade ore, at least 8 tons of medium-grade ore, and at least 24 tons of low-grade ore. Each hour of operation, mine 1 produces 6 tons of high-grade ore, 2 tons of medium-grade ore, and 4 tons of low-grade ore. Each hour of operation, mine 2 produces 2 tons of high-grade ore, 2 tons of medium-grade ore, and 12 tons of low-grade ore. It costs $200 per hour to operate mine 1 and $160 per hour to operate mine 2 . How many hours should each mine be operated so as to meet the contractual obligations at the lowest total operating cost? Use this sensitivity report to answer the questions below. What constraints are binding (at that optimal solution)? Operate Mine 1 for 2 hours and Mine 2 for 1 hours for a minimum possible Cost of $560. Operate Mine 1 for 1 hour and Mine 2 for 3 hours for a minimum possible Cost of $680. Operate Mine 1 for 3 hour and Mine 2 for 1 hour for a minimum possible Cost of $760. Operate Mine 1 for 1 hour and Mine 2 for 1 hour for a minimum possible Cost of $360
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started