calculators. Limitations exist such that they cannot produce more than a total of lators in a day. The company loses $2 for every scientific calculator but profits $6 for phing calculator. esent the number of scientific calculators and y represent the number of graphing rs. a system of linear inequalities for the constraints. [y22x x>100 x2y+2 x>100 [x≤2y <40 [x22y x>10
calculators. Limitations exist such that they cannot produce more than a total of lators in a day. The company loses $2 for every scientific calculator but profits $6 for phing calculator. esent the number of scientific calculators and y represent the number of graphing rs. a system of linear inequalities for the constraints. [y22x x>100 x2y+2 x>100 [x≤2y <40 [x22y x>10
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 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
Related questions
Question
54,55,56,57
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.
52. Write a system of linear inequalities for the constraints.
y22x
x ≥100
y≥40
x+y≤450
A)
B)
[x2y+2
x ≥100
y≥40
x+y2450
150
53. Write the objective function which is the profit function, P.
A) P=2x+6y
B) P = -2x+6y
C) P=6x-2y
100
50
0
C)
Using the graph of the feasible region, evaluate the objective function with each vertex.
-200
54. (100, 40)
55. (100, 50)
56. (300, 150)
57. (410, 40)
(100, 50)
(100, 40)
50
58. What is the maximum profit?
59. How many scientific calculators should the
company make each day to maximize profit?
x≤2y
x≤ 40
60. How many graphing calculators should the
company make each day to maximize profit?
y≤100
x+y≥450
100 150
200 250
D)
A) 300
D) 410
AC) 640
BC) 500
CD) 150
x22y
x ≥100
y ≥ 40
(x+y≤450
D) P=6x+2y
(300, 150)
Choices for 54-60:
300
350
B) 440
E) 40
AD) 50
BD) 1280
CE) 1060
(410, 40)
400
450
C) 100
AB) 520
AE) 1500
BE) -580
DE)-320
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,