The James MacGregor Mining Company owns three mines: I, II, and III. Three grades of ore, A, B, and C, are mined at these mines. For each grade of ore, the number of tons per week available from each mine and the number of tons per week required to fill orders are given in the following table.
?
I
II
III
RequiredTons/Week
Ore
Grades
A
B
C
10
0
10
10
10
0
10
10
10
90
50
60
Cost/day
$6,000
$8,600
$12,400
?
?
Find the number of days that the company should operate each mine so that orders are filled at minimum cost. Find the minimum cost.
?
?
A. Minimum cost is $54,000 obtained by operating mine I for 2 days, mine II for 2 days, and mine III for 2 days.
B. Minimum cost is $93,400 obtained by operating mine I for 3 days, mine II for 3 days, and mine III for 4 days.
C. Minimum cost is $83,600 obtained by operating mine I for 2 days, mine II for 4 days, and mine III for 3 days.
D. Minimum cost is $74,600 obtained by operating mine I for 4 days, mine II for 3 days, and mine III for 2 days.
E. Minimum cost is $78,400 obtained by operating mine I for 4 days, mine II for 2 days, and mine III for 3 days.
Answer: D
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