PROBLEM SOLVING $-$ Economic Order Quantity and Quantity Discount Models

Consider the below scenario to answer Questions $13-20$:

Sweet Bliss bakery procures flour in $25-$pound bags from Robinhood Flour Manufacturing. It uses $1,334$ bags a year. Ordering

Cost is $$12$ per order. Annual Carrying Cost is $$80$ per bag and the flour supplier operates $250$ days in a year.

The supplier, Robinhood Flour offers discounts based on the following quantity schedules:

Number of Bags Price per Bag

$1-15$ $$12\mathrm{.}00$

$16-30$ $$11\mathrm{.}00$

$31-50$ $ $9\mathrm{.}85$

$51$ or more $ $9\mathrm{.}75$

$13.$ What is optimal order quantity?

$14.$ How many orders per year will be placed? :Round off your answer to the nearest whole number

$15.$What is the length of optimal order cycle? :Round off your answer to the nearest whole number

$16.$ What is the total cost of ordering and carrying the flour? $*$Round off your answer to the nearest whole number