Read very carefully before you start preparing your answer:

Imagine that you are the head of a logistics company that sends food out from cold storage tank, e$.$g$.,$ pasteurized milk. During the first phase of Covid$-19,$ one of the problems was to be able to send out the produce, dairy products, etc. until the date of "best before" to minimize the waste. Even worse, once the total lock$-$down was in effect, all inbound$/$outbound traffic was strictly monitored for the entire city. And, there lies the problem:

There is $250\mathrm{.}000$ liters of pasteurized milk previously stored in tanks in your possession. For some reason, you have only three tanker trucks, of $5\mathrm{.}000$ liters each, available at the time.

Also, you have three predefined destinations where you have to send the tanker trucks at least once $($as you have a binding legal contract with$)$ a day. These locations, let's call them A$,$ B$,$ and $C$ are located in different distances: $1$ hours away, $2$ hours away, $3$ hours away $($as in one way trip$),$ respectively.

In addition to that, you need $1$ hour to prepare$/$finish each shipment $($including filling up and pouring down the milk, buying gas to run the engine $-$ and, it takes time to prepare necessary documents every time you ship something out.$)$

But, as true for all real businesses, you need to earn to be able to survive. Each time you send out a tanker truck it costs you $0\mathrm{.}25$ "Turkish Lira" $($TL$)$ per liter per hour. And the farther the distance the more you earn, i$.$e$.,5$ TL$/$liter for location C$,4$ TL$/$liter for location B$,$ and $3$ TL$/$liter for location A$.$ By the way, you did pay an average of $2$ TL$/$liter for the milk in the storage $($including all the costs.$)$ But it is not the time to maximize the profit. You are ready to sacrifice up to half of your initial investment $-$ and you made this financial sacrifice by instinct.

You have just learned that the total lock$-$down will initiate within $24$ hours and will last for some indefinite time. All shipments must be completed within this time interval. Otherwise, it will take longer to prepare for the shipment the next time officials allow for transportation of commercial goods.

Question # $1(30$ pt$.)$: Formulate the problem in the standard form with objective function, constraint functions, and bounds. Name all functions, bounds, parameters, and variables properly.

Question # $2(40$ pt$.)$: Formulate the problem in the Linear Programming form with necessary transformations of functions and use of slack variables when useful. Name all functions, bounds, parameters, and variables properly.

Question # $3(30$ pt$.)$: Apply the Simplex Method to reach an optimum using the Coefficient Table and the procedure that you have been introduced to in the lecture. Is there a possible solution to this problem $-$ or will you bankrupt?

Important: Questions $1$ & $2$ will not receive partial credit if the answer is not well prepared. Question $3$ will receive partial credit based on your efforts. You are to work without calculator.