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

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!

Answer 2

Answer:

$\frac{\frac{1}{4} x^2}{ x+2}$

Step-by-step explanation:

Given : The cost of packing a box of chocolates is given by $\frac{1}{4} x^2$, 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= $\frac{1}{4} x^2$

Weight of a box of chocolates = x + 2

So, the cost of packaging per weight unit= $\frac{\frac{1}{4} x^2}{ x+2}$

Hence the cost of packaging per weight unit is $\frac{\frac{1}{4} x^2}{ x+2}$