(You may use geogebra to graph) 1. A manufacturer produces bicycles and motorcycles, each of which must be processed through two machine centers. Machine Center 1 has a maximum of 120 hours availability and Machine Center 2 has a maximum of 180 hours availability. A bicycle requires six (6) hours in Machine Center 1 and three (3) hours in Machine Center 2. Manufacturing a motorcycle requires four (4) hours in Machine Center 1 and 10 hours in Machine Center 2. If the profit is P450 for each bicycle and P2,500 for a motorcycle, determine the number of bicycles and the number of motorcycles to produce to maximize the profit, considering that the number of motorcycles must not exceed 12 units and bicycles must be at least 10 units.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Kindly solve what is ask with full solution, thank you so much. 

(You may use geogebra to graph)
1. A manufacturer produces bicycles and motorcycles, each of which must be
processed through two machine centers. Machine Center 1 has a maximum
of 120 hours availability and Machine Center 2 has a maximum of 180 hours
availability. A bicycle requires six (6) hours in Machine Center 1 and three (3)
hours in Machine Center 2. Manufacturing a motorcycle requires four (4)
hours in Machine Center 1 and 10 hours in Machine Center 2. If the profit is
P450 for each bicycle and P2,500 for a motorcycle, determine the number of
bicycles and the number of motorcycles to produce to maximize the profit,
considering that the number of motorcycles must not exceed 12 units and
bicycles must be at least 10 units.
Transcribed Image Text:(You may use geogebra to graph) 1. A manufacturer produces bicycles and motorcycles, each of which must be processed through two machine centers. Machine Center 1 has a maximum of 120 hours availability and Machine Center 2 has a maximum of 180 hours availability. A bicycle requires six (6) hours in Machine Center 1 and three (3) hours in Machine Center 2. Manufacturing a motorcycle requires four (4) hours in Machine Center 1 and 10 hours in Machine Center 2. If the profit is P450 for each bicycle and P2,500 for a motorcycle, determine the number of bicycles and the number of motorcycles to produce to maximize the profit, considering that the number of motorcycles must not exceed 12 units and bicycles must be at least 10 units.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,