Problem $870510$:

Do not include anything other than numbers in your responses. For example, do not include

comma or dollar sign in your numbers. As a rule of thumb, keep $2$ decimal places for larger

numbers and $3$ decimal places for smaller numbers less than $1.$

A large bakery makes cakes for freezing and subsequent sale. The bakery can produce cakes at

the rate of $208$ cakes per day. The bakery sets up the cake$-$production operation and produces

until a predetermined number $(Q)$ have been produced. When not producing cakes, the bakery

uses its personnel and facilities for producing other bakery items. The setup cost for a

production run of cakes is $$100.$ The cost of holding frozen cakes in storage is $$9$ per cake per

year. The annual demand for frozen cakes, which is constant over time, is $54600$ cakes.

Assume $364$ days a year and $52$ weeks a year.

What is the "daily" demand rate?

How many frozen cakes to produce in a production cycle? $($keep two decimal places$)$

How many cakes are in the freezers when the bakery stops the production in a given

production cycle? $($keep two decimal places$)$

How many "days" is the production cycle?

How many "days" in each production cycle the bakery produces cakes to freeze?

How many "days" in each production cycle the bakery is not producing cakes and can use its

personnel and facilities for producing "other" bakery items?

How much is the total annual inventory related costs?