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 48 gal with 3.6% detergent. Supplier II can supply at most 66 gal with 3% detergent. How much can be ordered from each to get at most 100 gal of oil with maximum detergent? OA. Maximize 0.030x +0.036y Subject to: xs48 y≤ 66 x+ys 100 OC. Maximize 48x + 66y Subject to: x248 y266 0.036x +0.03y2 100 CIT OB. Maximize 0.036x + 0.03y Subject to: 0≤x≤48 0sys 66 x+ys 100 O D. Maximize 48x + 66y Subject to: xs48 y≤ 66 0.036x +0.03ys 100

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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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 48 gal with 3.6% detergent. Supplier II can supply at most 66 gal with 3% detergent. How
much can be ordered from each to get at most 100 gal of oil with maximum detergent?
OA. Maximize 0.030x + 0.036y
Subject to:
xs48
y≤ 66
x+y≤ 100
OC. Maximize 48x + 66y
Subject to: x248
y266
0.036x +0.03y2 100
OB. Maximize 0.036x+0.03y
Subject to:
0≤x≤48
0sys 66
x+ys 100
D. Maximize 48x + 66y
Subject to: xs48
y≤ 66
0.036x +0.03y ≤ 100
Transcribed Image Text: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 48 gal with 3.6% detergent. Supplier II can supply at most 66 gal with 3% detergent. How much can be ordered from each to get at most 100 gal of oil with maximum detergent? OA. Maximize 0.030x + 0.036y Subject to: xs48 y≤ 66 x+y≤ 100 OC. Maximize 48x + 66y Subject to: x248 y266 0.036x +0.03y2 100 OB. Maximize 0.036x+0.03y Subject to: 0≤x≤48 0sys 66 x+ys 100 D. Maximize 48x + 66y Subject to: xs48 y≤ 66 0.036x +0.03y ≤ 100
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