1. The Surest Concrete Company produces concrete in a continuous process. Two in
ID: 454908 • Letter: 1
Question
1. The Surest Concrete Company produces concrete in a continuous process. Two ingredients in the concrete are sand which Surest purchases for $6 per ton and, and gravel, which costs $8 per ton. Sand and gravel together must make up exactly seventy-five percent of the weight of the concrete. Furthermore, no more than 40 percent of the concrete can be sand and at least 30 percent of the concrete must be gravel. Each day 2,000 tons of concrete are produced. Formulate as a linear programming problem.
Explanation / Answer
Let X1 be the number of tons of sand purchased.
The cost of sand per ton is $6.
Let X2 be the number of tons of gravel purchased.
The cost of the per ton of gravel is $8.
The objective is to minimize the cost of production.
Min Z = $6X1+$8X2
S.t.c
X1+X2= 1500.... (0.75 * 2000)
X1<=800.....(0.40*2000)
X2>=600.... (0.30*2000)
X1,X2>=0
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