The x$-$axis is the grind size $(1$ represents the finest grind and $8$ represents the coarsest grind$).$ Note that the dynamic brewing pressure ranges from $9\mathrm{.}7($finest grind$)$ to $7\mathrm{.}6($coarsest grind$).$ However, the brewing time ranges from $48$ seconds $($finest grind$)$ to $11$ seconds $($coarsest grind$).$ Based on this figure, the perfect grind setting is either $4$ or $5,$ where the brewing time is between $25$ and $30$ seconds and the dynamic pressure is between $8\mathrm{.}5$ and $8\mathrm{.}8$ BAR.

To help your get start in Coral, your boss gives you a starter code with a basic skeleton of brewCoffee function. Note that you need to complete the brewCoffee function by writing equations that compute factor and bias values.

Function brewCoffee $($integer grindSize$)$ returns integer brewTime

integer sPressure

float dPressure

float bias

float factor

sPressure $=10$

dPressure $=0$

bias $=0$

factor $=0$

$//$ Express the relationship between grindSize and dPressure as an equation. The equation should

$//$ include sPressure, grindSize, and factor that helps express the relationship of smaller

$//$ grindSize resulting in higher dPressure. Complete the equation below to compute factor as a function of grindSize.

$//$

$//$ factor $=$ func$($grindSize$).$

$//$

$//$ As an example, you could set func as grindSize$/10.$

factor $=$ grindSize $/10$

$//$ Obviously, this function doesn't work because when grindSize is $1,$

$//$ dPressure is also $1.$ The correct factor should result in the highest

$//$ dPressure when grindSize is smallest. Modify the above equation to compute

$//$ factor.

$//$ Next, the function below calculate dPressure

dPressure $=$ sPressure $*$ factor

$//$ Next, since the relationship between the dPressure and brewTime is not linear, we need to

$//$ set up bias value as part of calculating brewTime. This can be done using

$//$ if$,$ elseif, and else statements. The idea here is to set the bias to a

$//$ value based on dPressure. A higher dPressure should result in a higher bias.

$//$ Ultimately, the brewTime is calculated by multiplying dPressure with bias

$//$ as shown later in the program.

$//$ Complete the code below to set the bias values based on dPressure values.

$//$ Below is a starter code. Simply remove the comment $(//)$ to execute the

$//$ code. Replace $(...)$ with code and numeric values. Note that you will likely need more cases

$//$ of elseif and else than provided.

$//$

$//$if dPressure $>9\mathrm{.}3$

$//$ bias $=...$

$//$elseif dPressure $>...$

$//$ bias $=...$

$//...$

$//$else

$//$ bias $=...$

$//$ calculating brewTime

brewTime $=$ dPressure $*$ bias

$//$ output the results

Put grindSize to output

Put $"$

$"$ to output

Put dPressure to output

Put $"$

$"$ to output

Put brewTime to output

Put $"$

$"$ to output

Function Main$()$ returns nothing

integer grindSize

grindSize $=$ Get next input

Put brewCoffee$($grindSize$)$ to output

You can test your program by entering the following grindSize values, one at a time, in the Input window: $1,2,3,4,5,6,7,$ and $8.$

Your espresso simulator should be as close as possible to the real behavior shown in the figure above. Slight variations are acceptable as long as the perfect shots are still within the ranges of $8\mathrm{.}4-9\mathrm{.}0$ BAR $($dynamic pressure$)$ and $25$ to $30$ seconds $($brewing time$).$ The maximum and minimum brewing times should be $50$ seconds and $10$ seconds, respectively. The maximum and minimum dynamic pressure should be $9\mathrm{.}7$ BAR and $7\mathrm{.}0$ BAR, respectively.

As the last step, you need to modify the Main function so that it can self$-$generate grindSize values. Currently, you need to enter the grindSize as an input for each run. Your task is to replace the line below with a for loop where the grindSize value is set automatically to iterate from $1$ to $8.$

grindSize $=$ Get next input

The following line should also be part of the new for loop.

Put brewCoffee$($grindSize$)$ to output