A construction company manufactures bags of concrete mix from beach sand and river sand. Each cubic meter of beach sand costs P 60 and contains 4 units of fine sand, 3 units of f. coarse sand, and 5 units of gravel. Each cubic meter of river sand costs P100 and contains 3 units of fine sand, 6 units of coarse sand, and 2 units of gravel. Each bag of concrete must contain at least 12 units of fine sand, 12 units of coarse sand, and 10 units of gravel. Find the best combination of beach sand and river sand which will meet the minimum requirements of fine sand, coarse sand, and gravel at the least cost.
A construction company manufactures bags of concrete mix from beach sand and river sand. Each cubic meter of beach sand costs P 60 and contains 4 units of fine sand, 3 units of f. coarse sand, and 5 units of gravel. Each cubic meter of river sand costs P100 and contains 3 units of fine sand, 6 units of coarse sand, and 2 units of gravel. Each bag of concrete must contain at least 12 units of fine sand, 12 units of coarse sand, and 10 units of gravel. Find the best combination of beach sand and river sand which will meet the minimum requirements of fine sand, coarse sand, and gravel at the least cost.
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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Transcribed Image Text:A construction company manufactures bags of concrete mix from beach sand and river
sand. Each cubic meter of beach sand costs P60 and contains 4 units of fine sand, 3 units of
coarse sand, and 5 units of gravel. Each cubic meter of river sand costs P100 and contains
3 units of fine sand, 6 units of coarse sand, and 2 units of gravel. Each bag of concrete must
contain at least 12 units of fine sand, 12 units of coarse sand, and 10 units of gravel. Find the
f.
best combination of beach sand and river sand which will meet the minimum requirements
of fine sand, coarse sand, and gravel at the least cost.
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.
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