Table 64 -Refer to Table 6

question 229

Essay

Table 6.4
$$\begin{array} { | c | c | c | } \hline \text { Labour (hours) } & \begin{array} { c } \text { Quantity of } \\\text { Fish (metrics) }\end{array} & \begin{array} { c } \text { Marginal Product } \\\text { (metrics) }\end{array} \\\hline 1 & 10 & \\\hline 2 & 18 & \\\hline 3 & 24 & \\\hline 4 & 28 & \\\hline 5 & 30 & \\\hline 6 & 32 & \\\hline\end{array}$$
-Refer to Table 6.4.The table above shows the following relationship between hours spent fishing and the quantity of fish caught for Juan,a commercial fisherman.
a.Complete the Marginal Product column in Table 6.4.
b.Characterise the production function,that is,does the production function display increasing marginal returns,diminishing marginal returns,etc.
c.Using the data above,graph Juan's marginal product curve.Be sure to label the horizontal and vertical axes.Is your graph consistent with your answer to part (b)? Explain.
d.Juan uses the following inputs for fishing-a small wooden boat (B),a fishing pole (P)and of course,his labour (L).Treating the boat and the fishing pole as fixed inputs and using the data above,graph Juan's Total Product of labour curve.Be sure to label the horizontal and vertical axes.
e.(Extra Credit)The opportunity cost of Juan's time is $8 per hour.If Juan receives $2 per metric for his fish,what is the optimal number of hours he should spend fishing? Explain how you arrived at your answer.Hint: Recall marginal benefit and marginal cost analysis.
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Definitions:

Fertility Rates

The average number of children born to a woman over her lifetime in a specific population.

Doubling Times

The period of time required for a quantity to double in size or value, often used in the context of population growth or bacterial cell reproduction.

Total Fertility Rate

The average number of children born to a woman during her lifetime.

Born

The process of coming into life or entering into existence.