A candy company has hired you as their new production manager. Your job is to
choose the form of packaging for a new product from the five choices below. The candy
is animal gummies. The package must hold between 45 and 50 cubic inches (roughly 3
cups of space). The cost of the plastic for the packaging is $0.002 per square inch.

The company would really like the container to be in the shape of Noah’s Ark (for
reference, Noah's instructions are given to him by God (Genesis 6:14–16): the ark is to
be 300 cubits long, 50 cubits wide and 30 cubits high. 1 cubit = 1.5 feet.). To simplify
things we are assuming the arc is the shape of a rectangular prism.

Your project should include the volume, total surface area, and materials cost for
each solid given below, including the formulas you used and each step of your
work. Make sure to use the formulas given in your lessons, round your volume
and area to the nearest hundredth, and round your cost to the nearest penny.

You also need to include a paragraph that answers the following questions:
 Do all of the solids hold between 45 and 50 cubic inches?
 Which solid is the most cost efficient (the packaging with the smallest materials
cost that holds between 45 and 50 cubic inches)?
 Would the Ark be most cost efficient solid for packaging? Why or why not?
 Which solid would you recommend using? Why?

(c) compare the results of parts (a) and (b). in general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. there is no distinct pattern when each data value is multiplied by the same constant. (d) suppose you have information about average heights of a random sample of airline passengers. the mode is 65 inches, the median is 72 inches, and the mean is 65 inches. to convert the data into centimeters, multiply each data value by 2.54. what are the values of the mode, median, and mean in centimeters? (enter your answers to two decimal places.) mode cm median cm mean cm in this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. consider the following data set 7, 7, 8, 11, 15. (a) compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = (b) multiply 3 to each of the data values. compute the mode, median, and mean. (enter your answers to one (1) decimal places.) mean value = median = mode = --