Question

Formulate but do not solve the following exercise as a linear programming problem. Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $16,000/day to operate, and it yields 55 or of gold and 3000 ou of silver each of days. The Horseshoe Mine costs $18,000/day to operate, and it yields 75 oz of gold and 1500 of siver each of y days. Company management has set a target of at least 750 2 of gold and 19.000 or of silver. How many days should each mine be operated so that the target can be met at a minimum cost Cind ? Minimie C subject to the constraints gold silver

Answer 1

For Saddie Mine,

Cost of Mining for x days= 16000*x

For Horshoe Mine,

Cost of Mining for y days=18000*y

Total Cost of mining=  16000*x+18000*y

Total Production of gold=55x+75y>=750

Total production of silver= 3000x+1500y>=19000

Solving the above 2 equation x=2.10 i.e 2 days and y= 8.45 i.e. 9 days (Approx)