SAT Math · Nonlinear functions · medium
A company's cost, in dollars, to produce x units is modeled by C(x) = 3x² - 60x + 800. How many units should be produced to minimize cost?
A company's cost, in dollars, to produce units is modeled by . How many units should be produced to minimize cost?
Answer and explanation
Answer: D: 10
The cost function is an upward-opening parabola, so its minimum is at the vertex: units, choice D. The minimum cost is dollars. Choice A (20) comes from dividing by instead of . Choice B (60) is the coefficient of . Choice C (800) is the fixed cost, the value of . The question asks how many units to produce, which is the -coordinate of the vertex.
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