Chapter 12.5, Problem 26IP

To determine

To find: which size of popcorn is the best buy and what is cost to volume ration?

Answer to Problem 26IP

Large size, 0.0090 $\$|i{n}^3$

Explanation of Solution

Given information: A table of popcorn sizes is given,

size	Length (in.)	width (in.)	Height (in.)	Price ($)
Small	5	4	8	4.50
medium	7	5	10	5.75
large	10	6	12	6.50

Formula used:

Volume of rectangle prism = $l\times b\times h$

Calculation:

Small size,

  $\begin{array}{l}Volume=5\times 4\times 8=160i{n}^3\\ \text{cost}toVolumeratio=\frac{4.50}{160}=0.028\mathrm{...}(1)\end{array}$

Medium size,

  $\begin{array}{l}Volume=7\times 5\times 10=350i{n}^3\\ \text{cost}toVolumeratio=\frac{5.75}{350}=0.0164\mathrm{...}(2)\end{array}$

large size,

  $\begin{array}{l}Volume=10\times 6\times 12=720i{n}^3\\ \text{cost}toVolumeratio=\frac{6.50}{720}=0.0090\mathrm{...}(3)\end{array}$

From (1) (2) and (3)

Cost to volume ration, is lowest in case of large size popcorn.

Therefore, larger size is best buy.