A chairwoman of a certain political party is making plans for an upcoming

barangay election. She has recelved the services of six volunteer workers for precinct work, and

she wants to assign them to four precincts in such as way as to maximize their

effectiveness. She feels that it would be inefficient to assign a worker to more than one

precinct, but she is willing that at least one worker should beassign on the precinct to ensure

that there is volunteer in each precinct.

The following table gives the estimated increase in the number of votes $($in thousands$)$ for the

party's candidate in each precinct if it were allocated various numbers of workers.

Use backward approach $($start with Precinct $4)$ in solving this DP problem.

a$)$ What is the range of states in Stage $4?$ Blank $1$ Blank $2$

b$)$ What is the range of states in Stage $3?$ Blank $3$ Blank $4$

c$)$ What is the range of states in Stage $2?$ Blank $\frac{?}{\text{b}\text{a}\text{r}}(5$ Blank $6)$

d$)$ What is the range of states in Stage $1?$ Blank $7$ Blank $8$

e$)$ In Stage $4,$ what is the optimal reward in state $6?$ Blank $9$ and the optimal number of

volunteers? Blank $10$

f$)$ In Stage $3,$ what is the optimal reward in state $5?$ Blank $11$ and the optimal number of

volunteers? Blank $12$

g$)$ In Stage $2,$ what is the optimal reward in state $4?$ Blank $13$ and the optimal number of

volunteers? Blank $14$

h$)$ in Stage $1,$ what is the optimal reward in state $6?$ Blank $15$ and the optimal number of

volunteers? Blank $16$

i$)$ What is the range of alternatives in Stage $1?$ Blank $17$ Blank $18$

j$)$ What is the range of alternatives in Stage $2?$ Blank $19$ Blank $20$

k$)$ What is the range of alternatives in Stage $3?$ Blank $21$ Blank $22$

What is the range of alternatives in Stage $4?$ Blank $23$ Blank $24$

$m$ How many volunteers will be assigned in Prejast $3?$ Blank $25$

n$)$ How many volunteers will be assigned in Precinct $1?$ Blank $26$

o$)$ How many volunteers will be assigned in Precinct $2?$ Blank $27$

p$)$ How many volunteers will be assigned in Precinct $4?$ Blank $28$

q$)$ How many voters will generated? Blank $29$