$3.)$ Below is a problem that has a design that is partially completed:

A factory producing bottles can manufacture $b$ bottles an hour. If a set of $100$ bottles take $r$

pounds of raw material to manufacture, design an algorithm that determines how many bottles

can be produced in $t$ minutes and how many ounces of material are required. Note that even if

the factory produces one bottle, $r$ pounds of material are used.

Inputs: $b$ Bottles per Hour, $r$ Pounds of material per $100-$Bottles, $t$ minutes

Outputs: Ounces of material, Number of Bottles

Plan: $1.$ Multiply $t$ by $\frac{1hr}{60(min)}$

Multiply $(1)$ by $b,$ this is the number of bottles produced

Integer divide $(2)$ by $100$

Add the integer $1$ to $(3),$ this is the number of $100-$bottle sets produced

Multiply $r$ by $\frac{16oz}{1lb}$

Multiply $(4)$ by $(5),$ this is the ounces of material required

Note: The integer division operator $(//)$ will compute the whole number of times the right$-$hand side can

be divided into the left. E$.$g$.,$ both $\frac{4}{\frac{?}{?}}2$ and $\frac{5}{\frac{?}{?}}2$ would be $2,$ but $\frac{6}{\frac{?}{?}}2$ would be $3.$

a$.)$ If a test has the inputs $(b=250,r=1\mathrm{.}5,t=3),$ what would we expect the outputs to be$?$

b$.)$ If a test has the inputs $(b=1000,r=0\mathrm{.}4,t=2),$ what would we expect the outputs to be$?$

c$.)$ Think of an input different from the two above and calculate its output.