A company designs system modules. A BaseModule has a production cost calculated as $C_{base} = 5A + 3B$, where A and B are input parameters. A SpecialModule is derived from BaseModule. It incurs all the costs of a BaseModule and an additional testing cost of $T = A + B + 10$. If $A=20$ and $B=10$ for a particular SpecialModule, what is its total production cost?
All Quadrilateral shapes have the property that the sum of their interior angles is $360^\circ$. A Rhombus is a special type of Quadrilateral. What is the sum of the interior angles of any Rhombus?
A 2D BaseShape is defined by its area, $Area_{2D}$. A 3D PrismShape is created by extruding this BaseShape to a height $h$. The volume of the PrismShape is $Volume_{3D} = Area_{2D} \times h$. If a BaseShape has an area of $25 \text{ cm}^2$ and a PrismShape is derived from it with a height of $10 \text{ cm}$, what is the volume of the PrismShape?
An EnergySource has a base power output $P_0$. An ImprovedEnergySource inherits from EnergySource and its power output is $P_1 = P_0 + \Delta P_1$. An AdvancedEnergySource inherits from ImprovedEnergySource and its power output is $P_2 = P_1 + \Delta P_2$. If $P_0 = 100W$, $\Delta P_1 = 20W$, and $\Delta P_2 = 30W$, what is the power output $P_2$ of the AdvancedEnergySource?
A standard data processing algorithm, AlgoA, takes $T_A = N^2$ seconds to process $N$ data items. A new algorithm, AlgoB, is derived from AlgoA but includes an optimization step that reduces the processing time by $10N$ seconds. So, $T_B = T_A - 10N$. (Assume $N^2 > 10N$ for this problem to be physically meaningful with positive time).
If $N=50$, calculate $T_A$ and $T_B$.
What if, due to a system constraint, the optimization step in AlgoB could not be fully implemented, and it only saved $5N$ seconds instead of $10N$? What would be the new $T_B$ for $N=50$?