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A manufacturer makes two grades of concrete. Each bag of the high-grade concrete contains 10 kg of gravel and 5 kg of cement, while each bag of low-grade concrete contains 12 kg of gravel and 3 kg of cement. There are 1,920kg of gravel and 780 kg of cement currently available. The manufacturer can make a profit of RM 1.20 on each bag of the high-grade and RM 1.00 on each bag of the low-grade concrete and wishes to determine how many bags of each grade to make from the available supplies to generate the largest possible profit. how many bags of each grade should be made up from available supplies to generate the largest nossible profit?

A manufacturer makes two grades of concrete. Each bag of the high-grade concrete contains 10 kg of gravel and 5 kg of cement, while each bag of low-grade concrete contains 12 kg of gravel and 3 kg of cement. There are 1,920kg of gravel and 780 kg of cement currently available. The manufacturer can make a profit of RM 1.20 on each bag of the high-grade and RM 1.00 on each bag of the low-grade concrete and wishes to determine how many bags of each grade to make from the available supplies to generate the largest possible profit. how many bags of each grade should be made up from available supplies to generate the largest nossible profit?

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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A manufacturer makes two grades of concrete. Each bag of the high-grade concrete contains 10 kg of gravel and 5 kg of cement, while each bag of low-grade concrete contains 12 kg of gravel and 3 kg of cement. There are 1,920kg of gravel and 780 kg of cement currently available. The manufacturer can make a profit of RM 1.20 on each bag of the high-grade and RM 1.00 on each bag of the low-grade concrete and wishes to determine how many bags of each grade to make from the available supplies to generate the largest possible profit. how many bags of each grade should be made up from available supplies to generate the largest possible profit?
Transcribed Image Text:A manufacturer makes two grades of concrete. Each bag of the high-grade concrete contains 10 kg of gravel and 5 kg of cement, while each bag of low-grade concrete contains 12 kg of gravel and 3 kg of cement. There are 1,920kg of gravel and 780 kg of cement currently available. The manufacturer can make a profit of RM 1.20 on each bag of the high-grade and RM 1.00 on each bag of the low-grade concrete and wishes to determine how many bags of each grade to make from the available supplies to generate the largest possible profit. how many bags of each grade should be made up from available supplies to generate the largest possible profit?
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