12. Durian Manufacturing produces two products X and Y. Product X requires six hours of time on machine 1 and twelve hours of time on machine 2. Product Y requires 4 hours on machine 1 and no time on machine 2. Both machines are available for 24 hours. Assuming that the objective function of the total contribution margin is 2X + 1 Y, what product mix will produce the maximum profit? a.0 unit of X, 6 units of Y b. 1 unit of X, 4 units of Y c. 2 units of X, 3 units of Y d. 4 units of X, 0 unit of Y 13. Lemon Company makes products X and Y, with the following production constraints representing two machines: Machine 1: 2X+3Y18 Machine 2: 2X+Y<10 If the profit equation is Z=4x+2y, then what is the maximum possible profit? a. P18 с. Р21 d. P24 b. P20 14. The term ʻconstraints' in a linear programming model generally refers to: a. Costs b. Inefficiencies c. Scarce resources d. Dependent variables

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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12. Durian Manufacturing produces two products X and Y. Product X requires six hours of time on machine 1
and twelve hours of time on machine 2. Product Y requires 4 hours on machine 1 and no time on
machine 2. Both machines are available for 24 hours. Assuming that the objective function of the total
contribution margin is 2X+ 1 Y, what product mix will produce the maximum profit?
a.0 unit of X, 6 units of Y
b. 1 unit of X, 4 units of Y
c. 2 units of X, 3 units of Y
d. 4 units of X, 0 unit of Y
13. Lemon Company makes products X and Y, with the following production constraints representing two
machines:
Machine 1: 2X+3Y18
Machine 2: 2X+Y<10
If the profit equation is Z=4x+2y, then what is the maximum possible profit?
а. P18
b. P20
с. Р21
d. P24
14. The term 'constraints' in a linear programming model generally refers to:
a. Costs
b. Inefficiencies
c. Scarce resources
d. Dependent variables
Transcribed Image Text:12. Durian Manufacturing produces two products X and Y. Product X requires six hours of time on machine 1 and twelve hours of time on machine 2. Product Y requires 4 hours on machine 1 and no time on machine 2. Both machines are available for 24 hours. Assuming that the objective function of the total contribution margin is 2X+ 1 Y, what product mix will produce the maximum profit? a.0 unit of X, 6 units of Y b. 1 unit of X, 4 units of Y c. 2 units of X, 3 units of Y d. 4 units of X, 0 unit of Y 13. Lemon Company makes products X and Y, with the following production constraints representing two machines: Machine 1: 2X+3Y18 Machine 2: 2X+Y<10 If the profit equation is Z=4x+2y, then what is the maximum possible profit? а. P18 b. P20 с. Р21 d. P24 14. The term 'constraints' in a linear programming model generally refers to: a. Costs b. Inefficiencies c. Scarce resources d. Dependent variables
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