Question: Two different fabric materials can be produced at one facility, each takes one hour per ton to produce. Both exhibit diseconomies of scale: If x

Two different fabric materials can be produced at one facility, each takes one hour per ton to produce. Both exhibit diseconomies of scale: If x₁ tons of the first are produced, the contribution is 6x₁(x₁²/2). For the second material, for x₂ tons produced, the contribution is (50x₂). The facility can work 23 hours per day (one hour is required for maintenance) and, because of raw materials availability, no more than 10 tons of the first material and 18 tons of the second can be produced daily.

Formulate the mathematical model.

2.Solve the model. What is the optimal daily production schedule to maximize contribution?

3.Paste your AMPL code here. ( AMPL has a built-in function for the square root. )

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