A calculator company produces a scientific calculator and a graphing calculator. D existing demand, they produce at least twice as many scientific calculators than g calculators. A contract requires them to make at least 100 scientific calculators an graphing calculators. Limitations exist such that they cannot produce more than a 450 calculators in a day. The company loses $2 for every scientific calculator but p every graphing calculator. Let x represent the number of scientific calculators and y represent the number of g calculators. 71. Write a system of linear inequalities for the constraints. [y≥ 2x A) x ≥100 y≥40 x+y≤450 B) x2y+2 x ≥100 y≥40 x+y≥450 C) [x≤2y x≤40 y≤100 x+y≥450 72. Write the objective function which is the profit function, P. A) P=2x+6y B) P=-2x+6y C) P=6x-2y D) x22y x≥10 y≥ 40 x+y≤ D) P=6x+

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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71,72
A calculator company produces a scientific calculator and a graphing calculator. Due to
existing demand, they produce at least twice as many scientific calculators than graphing
calculators. A contract requires them to make at least 100 scientific calculators and at least 40
graphing calculators. Limitations exist such that they cannot produce more than a total of
450 calculators in a day. The company loses $2 for every scientific calculator but profits $6 for
every graphing calculator.
Let x represent the number of scientific calculators and y represent the number of graphing
calculators.
71. Write a system of linear inequalities for the constraints.
A)
y≥2x
x ≥100
y≥ 40
x+y≤450
B)
(x2y+2
x ≥100
y≥40
x+y≥450
C)
[x≤2y
x≤ 40
y≤ 100
x+y≥450
72. Write the objective function which is the profit function, P.
A) P=2x+6y
B) P = -2x+6y
C) P=6x-2y
D)
[x22y
x≥100
y≥40
x+y≤450
D) P=6x+2y
Transcribed Image Text:A calculator company produces a scientific calculator and a graphing calculator. Due to existing demand, they produce at least twice as many scientific calculators than graphing calculators. A contract requires them to make at least 100 scientific calculators and at least 40 graphing calculators. Limitations exist such that they cannot produce more than a total of 450 calculators in a day. The company loses $2 for every scientific calculator but profits $6 for every graphing calculator. Let x represent the number of scientific calculators and y represent the number of graphing calculators. 71. Write a system of linear inequalities for the constraints. A) y≥2x x ≥100 y≥ 40 x+y≤450 B) (x2y+2 x ≥100 y≥40 x+y≥450 C) [x≤2y x≤ 40 y≤ 100 x+y≥450 72. Write the objective function which is the profit function, P. A) P=2x+6y B) P = -2x+6y C) P=6x-2y D) [x22y x≥100 y≥40 x+y≤450 D) P=6x+2y
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