$15\mathrm{.}1$ Project $1$: Theater

As the manager of a movie theater, you are looking for ways to speed up taking inventory at the end of each week. Write a program to track the following items:

Cups $(5$ cents each$)$

Candy bars $(30$ cents each$)$

Bags of popcorn $(20$ cents each$)$

Bottled water $(50$ cents each$)$

At the end of each week, you want to enter how many of each item you have, and your program will calculate how many of each item you need to order when you want the following quantities of each at the start of the week:

Cups: $2000$

Candy bars: $1000$

Bags of popcorn: $2500$

Bottled water: $750$

The input will be formatted as a space$-$separated list of numbers representing the number of cups, candy bars, bags of popcorn, and bottles of water remaining. For example:

$368453231576$

Would mean you have $368$ cups, $453$ candy bars, $231$ bags of popcorn, and $576$ bottles of water. Your program should then calculate:

How many of each item you need to restock

The total cost to restock

The average number of each item sold per day $($the theater is open $7$ days a week$)$

Example

Enter the number of cups, candy, popcorn, and water remaining:

$368453231576$

Need: $1632$ cups, $547$ candy bars, $2269$ bags of popcorn, and $174$ bottles of water

Cost: $786$ dollars and $50$ cents

Average sold: $233\mathrm{.}14$ cups, $78\mathrm{.}14$ candy bars, $324\mathrm{.}14$ bags of popcorn, and $24\mathrm{.}86$ bottles of water per day

Notes

Be sure to match the output in the example exactly. You do not need to worry about handling plural vs$.$ singular forms of the words in the output. For example, outputting $1$ cups is acceptable and expected.

Do not use the type float; use double instead.

To print doubles with two decimals, use printf$("\%\mathrm{.}2$lf$",$ var$)$;

Assume valid input.

Remember: doubles do not store values $100\%$ precisely. Because of this precision loss, you may need to round$()$ when determining cents, or store and perform all calculations using ints.

Testing

A part of programming is testing your code. While there may be example case$($s$),$ you should also develop test cases of your own before submitting. Think of the following cases to check:

Did not sell anything $($all items fully stocked$)$

Sold everything $($all items at $0)$

Sold only $1$ of an item

Sold only $1$ of each item

Etc.