Exercise $1.$ A bakery requires $190$ ounces of artisanal chocolate to make baked goods every week. The bakery purchases this chocolate from its supplier at $5$ dollars per ounce, plus $62$ dollars per order for taxes and shipping $($transporting chocolate is difficult$).$ Inconveniently, the supplier only sells chocolate in containers of $100$ ounces each $($meaning the bakery can only place orders in increments of $100$ ounces$).$ Suppose that the holding cost is $$0\mathrm{.}38$ per ounce per week. Assume there are no order lead times and no backorders allowed.

a$.)$ What are $c,D,K,$ and $h($the EOQ parameters$),$ assuming that we measure time in weeks?

b$.)$ If we consider the basic EOQ model, how many ounces of chocolate should the shop purchase from the supplier per order? Do not forget that the feasible order quantities are restricted.

c$.)$ For the order quantity in $($b$.),$ what is the total cost per week?

d$.)$ For the order quantity in $($b$.),$ what is the cycle time?

e$.)$ Based on your answer to $($b$.),$ is the following statement true or false? "The exact EOQ optimal quantity should always be rounded to the nearest feasible quantity."