Zytel Corporation produces cleaning compounds and solutions for industrial

and household use. While most of its products are processed independently,

a few are related. Grit $337,$ a coarse cleaning powder with many industrial

uses, costs $$2\mathrm{.}80$ a pound to make and sells for $$4\mathrm{.}00$ a pound. A small

portion of the annual production of this product is retained for further

processing in the Mixing Department, where it is combined with several

other ingredients to form a paste, which is marketed as a silver polish selling

for $$4\mathrm{.}40$ per jar. This further processing requires $\frac{1}{4}$ pound of Grit $337$ per

jar. Costs of other ingredients, labor, and variable overhead associated with

this further processing amount to $$2\mathrm{.}40$ per jar. Variable selling costs are

$$0\mathrm{.}50$ per jar. If the decision were made to cease production of the silver

polish, $$9,300$ of Mixing Department fixed costs could be avoided. Zytel has

limited production capacity for Grit $337,$ but unlimited demand for the

cleaning powder.

Required:

Calculate the minimum number of jars of silver polish that would have to be

sold to justify further processing of Grit $337.$

Note: Round your intermediate calculations to $2$ decimal places and final

answer to the nearest whole number.

Minimum number of jars