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Quadratic Equation Application Word Problems : Minimizing Cost

If a manufacturer of lighting fixtures has a daily production cost of (x)=800-10x+0.25x^2 where c is the total cost in dollars and x is the number of units produced.

- How many fixtures, x, should be produced each day to minimize the cost?

- What would it cost, c(x) to produce that many fixtures?

Solution Preview

Solution. Since c(x)=800-10x+0.25x^2=(0.5x-10)^2+700>=700,

we know ...

Solution Summary

Quadratic equations are used to minimize cost.