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?

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!

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wifilethbridge wifilethbridge · Answer 2 · 2019-05-30T06:01:33-04:00

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 \(\frac{\frac{1}{4} x^2}{ x+2}\)