At a canning company the daily production cost, y, is given by the quadratic equation y = 650 – 15x + 0.45x2, where x is the number of canned items. what is the minimum daily production cost? a) $1,025.00 b) $1,186.25 c) $525.00 d) $536.25

Option C) is correct

Step-by-step explanation:

Given :  y is the daily production cost at a canning company such that wherex is the number of canned items .

To find : Minimum daily production cost

Solution :

On differentiating both sides with respect to x, we get

On putting , we get

We get intervals as \left ( -\infty , \frac{50}{3}\right )\,,\,\left ( \frac{50}{3},\infty  \right )

For ,

For ,

Therefore, is a point of minima.

So, minimum cost is equal to

So, option C) is correct .

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