Copperfield Mining Company owns two mines, each of which produces three grades of ore - high, medium, and low.The company has a contract to supply a smelting company with at least (and maybe more than) 12 tons of high-grade ore, 8 tons of medium-grade ore, and 24 tons of low-grade ore.

Each mine produces a certain amount of each type of ore during each hour it operates.Mine 1 produces 6 tons of high-grade ore, 2 tons of medium-grade ore, and 4 tons of low-grade ore per hour. Mine 2 produces 2 tons of high-grade ore, 2 tons of medium-grade ore, and 12 tons of low-grade ore per hour.

It costs the company $200 per hour to operate mine 1 and it costs $160 per hour to operate mine 2.The company wants to determine the number of hours it needs to operate each mine so that it can meet its contractual obligations at the lowest cost.

show a graph to assist you in completing this assignment, although I do not need to see the graph (include it in your answer if you prefer).You pick what is to be the relevant item on the horizontal axis and what is to be on the vertical axis.Also please keep fraction values to 1 or 2 decimals (if you get any at all) - please do not round more than this!

1) What did you put on the horizontal axis?

2) For each constraint what is the horizontal intercept?

3) For each constraint what is the vertical intercept?

4) List the points that make up the corners of the feasible region,

5) List the value of the objective function at each corner point, and

6) Which point is the optimal point