Question

Universal Mines Inc. operates three mines in West Virginia. The ore from each mine is separated into two grades before it is shipped. The daily production capacities of the three mines, as well 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-grade order 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 during the upcoming week if Universal Mines is to fulfill its commitment at the minimum total cost. Round the answers to two decimal places.

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"]      

Answer 1

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