Question

11. A company plans to have coffee mugs produced with the company logo on them. The cost of each

Answer 1

Answer:

$5

Step-by-step explanation:

The cost of each mug  depends on the number of mugs that are ordered and is modeled by :

$y =0.0001x^2+ 0.1x + 30$ ...(1)

We need to find the minimum cost of each mug.

For minimum cost, dy/dx = 0

So,

$\dfrac{d(0.0001x^2- 0.1x + 30)}{dx}=0\\\\2x(0.0001)-0.1=0\\\\0.0002x=0.1\\\\x=\dfrac{0.1}{0.0002}\\\\x=500$

Put the value of x in equation (1).

$y =0.0001(500)^2- 0.1(500) + 30\\\\y=5$

So, the minimum cost of each mug is $5.