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use the mp curve to fill in the total product column in the following t…

Question

use the mp curve to fill in the total product column in the following table. in the previous table, fill in the average product column. then, on the previous graph, use the blue points (circle symbol) to plot the average product (ap) curve at 1, 2, 3, 4, and 5 workers. (hint: be sure to plot from left to right.) marginal product (mp) and average product (ap) curves always intersect at the
workers (watermelon per hour) total product (watermelon per worker) average product
0 0
1 12 12
2 28 14
3 42 14
4 52 13
5 56 11.2

Explanation:

Step1: Recall the formula for marginal product (MP)

MP of \(n^{th}\) worker = Total product of \(n\) workers - Total product of \((n - 1)\) workers.
For 1 worker: MP = \(12-0 = 12\)
For 2 workers: MP = \(28 - 12=16\)
For 3 workers: MP = \(42-28 = 14\)
For 4 workers: MP = \(52-42 = 10\)
For 5 workers: MP = \(56-52 = 4\)

Step2: Recall the formula for average product (AP)

AP of \(n\) workers=\(\frac{\text{Total product of }n\text{ workers}}{n}\)
For 1 worker: AP=\(\frac{12}{1}=12\)
For 2 workers: AP=\(\frac{28}{2}=14\)
For 3 workers: AP=\(\frac{42}{3}=14\)
For 4 workers: AP=\(\frac{52}{4}=13\)
For 5 workers: AP=\(\frac{56}{5}=11.2\)

Answer:

WorkersTotal ProductMarginal ProductAverage Product
1121212
2281614
3421414
4521013
556411.2