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Two machines, A and B produce items at the rate of 50 units per hour and 40 units per hour j. respectively. Under certain production plan, the total number of items needed is at least 1,000 items, the total number of hours available for running the machines is at most 24 hours. If the hourly cost is P300 for machine A and P250 for machine B, how many hours should each machine be used in order to minimize the cost?

Two machines, A and B produce items at the rate of 50 units per hour and 40 units per hour j. respectively. Under certain production plan, the total number of items needed is at least 1,000 items, the total number of hours available for running the machines is at most 24 hours. If the hourly cost is P300 for machine A and P250 for machine B, how many hours should each machine be used in order to minimize the cost?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. For the following linear programming problems, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. A hog raiser is mixing two types of grains A and B. Each unit of grain A costs P50 and a.
Transcribed Image Text:6. For the following linear programming problems, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. A hog raiser is mixing two types of grains A and B. Each unit of grain A costs P50 and a.
Two machines, A and B produce items at the rate of 50 units per hour and 40 units per hour j. respectively. Under certain production plan, the total number of items needed is at least 1,000 items, the total number of hours available for running the machines is at most 24 hours. If the hourly cost is P300 for machine A and P250 for machine B, how many hours should each machine be used in order to minimize the cost?
Transcribed Image Text:Two machines, A and B produce items at the rate of 50 units per hour and 40 units per hour j. respectively. Under certain production plan, the total number of items needed is at least 1,000 items, the total number of hours available for running the machines is at most 24 hours. If the hourly cost is P300 for machine A and P250 for machine B, how many hours should each machine be used in order to minimize the cost?
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