Production A factory that manufactures knives sells sets of kitchen knives. The Basis Set consists of 2 utility knives and 1 chef's knife. The Regular Set consists of 2 utility knives, 1 chef's knife, and 1 slicer. The Deluxe Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. Each Basic Set yields a $30 profit. Each Regular Set yields a $40 profit and each Deluxe Set yields a $60 profit. The factory has 800 utility knives, 400 chef's knives, and 200 slicers on hand. Assuming that all set are available for sale, how many sets of each type should be made so that profit is maximized? Let b the number of Basic Sets, Letr the number c Regular Sets, and Let d- the number of Deluxe Sets Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P-30b + 40r +60d Constraints: 2b +2r +3d=800, b+r+d<= 200, 0b+r+d <= 400, b>= 0, r>= 0, d >= 0 O Objective Function: Maximize Profit, P-30b + 40r +60d Constraints: 2b + 2r +3d >= 800, b+r+d<= 400, 0b+r+d<= 200, b>= 0, r = 0, d >= 0 O Objective Function: Maximize Profit, P = 30b +40r + 60d Constraints: 2b +2r + 3d <= 400, b+r+d<= 800, 0b+r+d<= 200, b>0, r>= 0, d >=0 O Objective Function: Maximize Profit, P=30b +40r +60d Constraints: 2b+2r + 3d <=800, b+r+d<= 400, 0b+r+d<= 200, b>0, r>= 0, d >=0
Production A factory that manufactures knives sells sets of kitchen knives. The Basis Set consists of 2 utility knives and 1 chef's knife. The Regular Set consists of 2 utility knives, 1 chef's knife, and 1 slicer. The Deluxe Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. Each Basic Set yields a $30 profit. Each Regular Set yields a $40 profit and each Deluxe Set yields a $60 profit. The factory has 800 utility knives, 400 chef's knives, and 200 slicers on hand. Assuming that all set are available for sale, how many sets of each type should be made so that profit is maximized? Let b the number of Basic Sets, Letr the number c Regular Sets, and Let d- the number of Deluxe Sets Which option (a, b, c, or d) shows the correct objective function and constraints for this application? O Objective Function: Maximize Profit, P-30b + 40r +60d Constraints: 2b +2r +3d=800, b+r+d<= 200, 0b+r+d <= 400, b>= 0, r>= 0, d >= 0 O Objective Function: Maximize Profit, P-30b + 40r +60d Constraints: 2b + 2r +3d >= 800, b+r+d<= 400, 0b+r+d<= 200, b>= 0, r = 0, d >= 0 O Objective Function: Maximize Profit, P = 30b +40r + 60d Constraints: 2b +2r + 3d <= 400, b+r+d<= 800, 0b+r+d<= 200, b>0, r>= 0, d >=0 O Objective Function: Maximize Profit, P=30b +40r +60d Constraints: 2b+2r + 3d <=800, b+r+d<= 400, 0b+r+d<= 200, b>0, r>= 0, d >=0
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CM: Cumulative Review Problem Set
Problem 115CM
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Transcribed Image Text:Production A factory that manufactures knives sells sets of kitchen knives. The Basis Set consists of 2 utility knives and 1 chef's knife. The Regular Set consists of 2 utility knives, 1 chef's knife, and 1 slicer. The Deluxe Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. Each
Basic Set yields a $30 profit. Each Regular Set yields a $40 profit and each Deluxe Set yields a $60 profit. The factory has 800 utility knives, 400 chef's knives, and 200 slicers on hand. Assuming that all set are available for sale, how many sets of each type should be made so that
profit is maximized?
Let b = the number of Basic Sets,
Letr = the number of Regular Sets, and
Let d = the number of Deluxe Sets
Which option (a, b, c, or d) shows the correct objective function and constraints for this application?
O Objective Function: Maximize Profit, P = 30b + 40r + 60d
Constraints: 2b + 2r +3d = 800, b +r+d<= 200, 0b+r+ d <= 400, b>= 0, r>= 0, d >= 0
O Objective Function: Maximize Profit, P = 30b + 40r + 60d
Constraints: 2b + 2r +3d >= 800, b +r+d<= 400, 0b +r+d<= 200, b>= 0, r>= 0, d >= 0
O Objective Function: Maximize Profit, P = 30b + 40r + 60d
Constraints: 2b + 2r + 3d <= 400, b+r+d <= 800, 0b +r+d<= 200, b>= 0, r>= 0, d >= 0
O Objective Function: Maximize Profit, P = 30b + 40r + 60d
Constraints: 2b + 2r + 3d <= 800, b+r+ d <= 400, 0b+r+ d <= 200, b >= 0, r>= 0, d >= 0
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