Question

The cost of packing a box of chocolates is given by 1/4 x^2, where x is the number of chocolates (a box can never have fewer than 3 chocolates). If the weight of a box of chocolates is given by x + 2, what is the cost of packaging per weight unit?

Answer 1

`((1)/(4) x^2)/( x+2)`

Explanation:

Given : The cost of packing a box of chocolates is given by
`(1)/(4) x^2`, where x is the number of chocolates

To Find: If the weight of a box of chocolates is given by x + 2, what is the cost of packaging per weight unit?

Solution:

Cost of packing a box of chocolates=
`(1)/(4) x^2`

Weight of a box of chocolates = x + 2

So, the cost of packaging per weight unit=
`((1)/(4) x^2)/( x+2)`

Hence the cost of packaging per weight unit is
`((1)/(4) x^2)/( x+2)`

Answer 2

The answer to the problem is as follows:

For a box with x chocolates, the cost of packaging is C(x) = x^2 and the
weight is W(x) = x + 2.

Thus the cost per unit weight is C(x) / W(x) = x^2 / (x + 2).

I hope my answer has come to your help. God bless and have a nice day ahead!