1.1.4 The plant produces two products, which are made on two machines M_1, M_2 and M_3. The working time of these machines is limited and is respectively, for machine M_1 - 3000 hrs, for machine M_2 - 1300 hrs and for machine M_3 - 8000 hrs. The consumption of machine time (in hours) for the production of a unit of each product is given in the table: Machines Labour time consumption per product unit I || M_1 30 10 M_2 10 10 M_3 50 80 The profit from the sale of product I is 30 PLN, and the profit from the sale of product II is 20 PLN. An analysis of sales in preceding years shows that it will not be possible to sell product II for more than 700 units. Plan the production structure in such a way, that with the assumed limitations, the profit on sales of products will be the highest.

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
1.1.4 The plant produces two products, which are made on two machines M_1, M_2 and M_3. The
working time of these machines is limited and is respectively, for machine M_1 - 3000 hrs, for
machine M_2 - 1300 hrs and for machine M_3 - 8000 hrs. The consumption of machine time (in
hours) for the production of a unit of each product is given in the table:
Machines
Labour time consumption per product unit
I
||
M_1
30
10
M_2
10
10
M_3
50
80
The profit from the sale of product I is 30 PLN, and the profit from the sale of product II is 20 PLN.
An analysis of sales in preceding years shows that it will not be possible to sell product II for more
than 700 units. Plan the production structure in such a way, that with the assumed limitations, the
profit on sales of products will be the highest.
Transcribed Image Text:1.1.4 The plant produces two products, which are made on two machines M_1, M_2 and M_3. The working time of these machines is limited and is respectively, for machine M_1 - 3000 hrs, for machine M_2 - 1300 hrs and for machine M_3 - 8000 hrs. The consumption of machine time (in hours) for the production of a unit of each product is given in the table: Machines Labour time consumption per product unit I || M_1 30 10 M_2 10 10 M_3 50 80 The profit from the sale of product I is 30 PLN, and the profit from the sale of product II is 20 PLN. An analysis of sales in preceding years shows that it will not be possible to sell product II for more than 700 units. Plan the production structure in such a way, that with the assumed limitations, the profit on sales of products will be the highest.
Expert Solution
steps

Step by step

Solved in 6 steps with 1 images

Blurred answer
Similar questions
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,