Ferrero Rocher chocolates are manufactured in the shape of spherical balls, which are wrapped in foil. The Ferrero Rocher Company introduced the Ferrero collection, which
is a package of 15 chocolates, one layer deep in a 3 chocolate x 5 chocolate orientation, A single chocolate has a diameter of 3.2 cm.

a) Draw a sketch of the rectangular prism that would hold 15 chocolates, in a 3 x 5
orientation. Assume the chocolates are tightly packed and that they touch each other and all of the sides of the container, that the foil does not take up any space, and that there is no spare room. Label all dimensions of the prism, to the nearest tenth of a centimeter

b) Determine the volume of space inside the Ferrero Rocher container that the
chocolates do not fill. Round your answer to the nearest cubic centimeter.

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

Suppose i pick a jelly bean at random from a box containing one red and eleven blue ones. i record the color and put the jelly bean back in the box. if i do this three times, what is the probability of getting a blue jelly bean each time? (round your answer to three decimal places.)

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)