Universal Mines Inc. operates three mines in West Virginia. Theore from each mine is separated into two grades before it isshipped. The daily production capacities of the three mines, aswell as their daily operating costs, are as follows:
| High-grade Ore, Tons/day | Low-grade Ore, Tons/day | Operating Cost in $/day |
| Mine I | 4 | 4 | 20,000 |
| Mine II | 6 | 4 | 22,000 |
| Mine III | 1 | 6 | 18,000 |
Universal has committed itself to deliver 54 tons of high-gradeorder and 65 tons of low-grade ore by the end of the week.Universal can run its mines seven days a week if required.
Determine the number of days each mine should be operated duringthe upcoming week if Universal Mines is to fulfill its commitmentat the minimum total cost. Round the answers to two decimalplaces.
a. The number of days Mine I should operate = [ Select ] ["2.65", "5.94", "1.75", "1.00"] days
b. The number of days Mine II should operate = [ Select ] ["3.95", "7.00", "4.06", "5.23"] days
c. The number of days Mine III should operate= [Select ] ["6.00", "7.00", "2.95","5.00"] days
d. The total cost of the operation for next week =$ [Select ] ["279,000", "284,000","320,000", "245,000"]
