\begin{tabular}{|r|r|r|r|r|r|}
\hline \multicolumn{3}{|c|}{Zinnia} & \multicolumn{3}{c|}{Marigold} \\
\hline [tex]$Q$[/tex] & \multicolumn{1}{|c|}{[tex]$W$[/tex]} & [tex]$VTP$[/tex] & [tex]$Q$[/tex] & [tex]$W$[/tex] & [tex]$VTP$[/tex] \\
\hline 1 & [tex]$\$[/tex] 20[tex]$ & $[/tex]\[tex]$ 20$[/tex] & 1 & [tex]$\$[/tex] 16[tex]$ & $[/tex]\[tex]$ 16$[/tex] \\
\hline 2 & [tex]$\$[/tex] 18[tex]$ & $[/tex]\[tex]$ 38$[/tex] & 2 & [tex]$\$[/tex] 14[tex]$ & $[/tex]\[tex]$ 30$[/tex] \\
\hline 3 & [tex]$\$[/tex] 16[tex]$ & $[/tex]\[tex]$ 54$[/tex] & 3 & [tex]$\$[/tex] 12[tex]$ & $[/tex]\[tex]$ 42$[/tex] \\
\hline 4 & [tex]$\$[/tex] 14[tex]$ & $[/tex]\[tex]$ 68$[/tex] & 4 & [tex]$\$[/tex] 10[tex]$ & $[/tex]\[tex]$ 52$[/tex] \\
\hline
\end{tabular}

Symbols: [tex]$Q=$[/tex] number of workers demanded; [tex]$W=$[/tex] wage rate; and [tex]$VTP=$[/tex] value of the cumulative total product (output) of the number of workers.

Assumptions:
1. The current wage in Zinnia is [tex]$\$[/tex] 20[tex]$, and the current wage in Marigold is $[/tex]\[tex]$ 12$[/tex].
2. Full employment exists in both countries.

If migration is costless and unimpeded,

A. no migration will occur.
B. migration will cause the wage in Marigold to fall.
C. 2 workers will move from Marigold to Zinnia.



Answer :

To address this problem, let's systematically consider the given conditions and data.

### Assumptions:
1. The current wage in Zinnia is \[tex]$20. 2. The current wage in Marigold is \$[/tex]12.
3. Full employment exists in both countries.
4. Migration is costless and unimpeded.

### Table Analysis:
[tex]\[ \begin{array}{|r|r|r|r|r|r|} \hline \multicolumn{3}{|c|}{ \text{Zinnia} } & \multicolumn{3}{c|}{ \text{Marigold} } \\ \hline \text{Q} & \multicolumn{1}{|c|}{ \text{W} } & \text{VTP} & \text{Q} & \text{W} & \text{VTP} \\ \hline 1 & \$ 20 & \$ 20 & 1 & \$ 16 & \$ 16 \\ \hline 2 & 18 & 38 & 2 & 14 & 30 \\ \hline 3 & 16 & 54 & 3 & 12 & 42 \\ \hline 4 & 14 & 68 & 4 & 10 & 52 \\ \hline \end{array} \][/tex]

### Demand for Workers:
1. In Zinnia:
- At a wage rate of \[tex]$20, 1 worker is demanded. 2. In Marigold: - At a wage rate of \$[/tex]12, 3 workers are demanded.

### Migration Analysis:
- Given that the current wage rates are \[tex]$20 in Zinnia and \$[/tex]12 in Marigold, let's consider the potential migration.
- Workers would migrate from a lower wage region to a higher wage region if there is a significant wage difference.
- If workers migrate from Marigold to Zinnia:
- Zinnia has a wage rate of \[tex]$20, demanding only 1 worker. - Marigold has a wage rate of \$[/tex]12, demanding 3 workers.

To see if migration would balance the wages:
- Suppose workers from Marigold want to move to Zinnia. For wages to equalize due to increased labor supply in Zinnia and reduced labor supply in Marigold, there must be an incentive or advantage in perceived wages:
- The wage in Zinnia is significantly higher than in Marigold.
- However, moving too many workers to Zinnia might lower wages there if supply exceeds demand.

### Conclusion:
Given the current conditions:
- Both regions already have full employment.
- The difference in wage rates is notable, but because full employment exists in both regions and migration does not sufficiently balance the wages to create an equilibrium situation where workers would benefit moving to another region,

No migration will occur under these perfectly competitive market conditions.

### Final Answer:
No migration will occur.