The quantity, Q, of a good produced depends on the quantities x, and x₂ of the two main materials used, according to the function Q = x5x5. Material x₁ costs $70 per unit, and material x2 costs $55 per unit. We want to minimize the cost of producing 100 units of the good. Using Lagrange multipliers, we see that the minimum cost, to the nearest dollar, of $ and x₂ = X1 occurs when Your last two blanks should be correct to two decimal places.

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