Develop a mathematical function of the form address$($x$,$ y$,$ z$)$ that calculates the address of

an element in a three$-$dimensional array based on column$-$major order. The function should

receive three indices as inputs, x$,$ y$,$ z$.$ The address should be calculated based on these

indices and the following constants:

$$ a$0=$ the base address of the first byte in the array

$$ n $=$ the number of bytes to store each element $($based on the type of data$)$

$$ dx$,$ dy$,$ dz $=$ the number of elements in each dimension $($i$.$e$.,$ dx $=2$ means there are

two rows$)$

Use your formula to calculate the following based on the constants and indices $($x$,$ y$,$ z$).$

a$0=6832931,$ n $=8,$ dx $=10,$ dy $=30,$ dz $=50$

address$($x $=5,$ y $=10,$ z $=15)=?$