Problema Solution
produces calculators. They have found that the cost, c(x), of making x calculators is a quadratic function in terms of x. The company also discovered that it costs $45 to produce 2 calculators, $143 to produce 4 calculators, and $869 to produce 10 calculators.
Answer provided by our tutors
The question itself is sparsely-worded but we can obtain the equation of a parabola using three points, so we take the points to be these (x,y) pairs:
(2,45)
(4,143)
(10,869)
...therefore 'x' is the number of calculators produced and 'y' is the cost of producing 'x' calculators
Using these three points in Algebrator's Parabola wizard titled "Equation of a parabola using 3 points", we obtain:
y = 9(x-5/18)^2 + 659/36