State the linear programming problem in mathematical terms, identifying the objective function and the constraints.A car repair shop blends oil from two suppliers.Supplier I can supply at most 49 gal with 3.8% detergent. Supplier II can supply at most 69 gal with 3.1% detergent. How much can be ordered from each to get at most 100 gal of oil with maximum detergent?
A. Maximize 49x + 69y
Subject to: x ? 49
y ? 69
0.038x + 0.031y ? 100.
B. Maximize 0.038x + 0.031y
Subject to: 0 ? x ? 49
0 ? y ? 69
x + y ? 100.
C. Maximize 49x + 69y
Subject to: x ? 49
y ? 69
0.038x + 0.031y ? 100.
D. Maximize 0.031x + 0.038y
Subject to: x ? 49
y ? 69
x + y ? 100.
Answer: B
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