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 $ $9\mathrm{.}75$

$17.$ What is the total cost if quantity to be ordered is $51$ bags considering the quantity discount schedule? $*$Round off your answer to the nearest whole number

$18.$ What is the total cost if quantity to be ordered is $50$ bags considering the quantity discount schedule? $*$Round off your answer to the nearest whole number

$19.$ What is the total cost if quantity to be ordered is equal to the Optimal Order Quantity $($calculated in #$13)$ considering the quantity discount schedule? $*$Round off your answer to the nearest whole number

$20.$

Assuming there are no constraints in terms of storage space and perishability, what would be your recommended order quantity to the bakery?

Group of answer choices

$50$ bags

At least $51$ bags

Only up to the Optimal Order Quantity