Word Problem, Need Help With Solving

Question

The cost of making x skirts per day is given by the equation C = 2x^2 -160x + 3600, where c is the cost in dollars. How many skirts should be produced in order to minimize costs? What is the minimum cost?

Answer 1

The given cost function is a parabola that opens upward, so its vertex is a minimum. The x value of the vertex is

x = -(-160) / [2(2)] = 160/4 = 40

That is the number of skirts that minimizes the cost. Evaluate C(40) to get the the minimum cost. You should be able to finish from here.