The Sureset Concrete Company produces concrete. Two ingredients in concrete are sand (costs $6 per ton) and gravel (costs $8 per ton). Sand and gravel together must make up exactly 75% of the weight of the concrete. Also, no more than 40% of the concrete can be sand and at least 30% of the concrete be gravel. Each day 2000 tons of concrete are produced. To minimize costs, how many tons of gravel and sand should be purchased each day?

Linear Programming Model

Objective Function (Max or Min):

subject to

LHS SYMBOL (0.40 * 2000)

LHS SYMBOL (0.30 * 2000)

LHS SYMBOL 0.75 * 2000

X; Y > 0

Optimal Solution:

X = 

Y = 

Cost = $