Explain the relationship between MP and TP with the help of diagram.
Question
Explain the relationship between MP and TP with the help of diagram.
Solution
The relationship between Marginal Product (MP) and Total Product (TP) can be explained as follows:
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Total Product (TP): This refers to the total output or production by a firm using the available resources. It is the total quantity of goods produced by a firm in a certain period of time.
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Marginal Product (MP): This refers to the additional output produced by employing an extra unit of input while keeping other inputs constant. It is the change in total product when one more unit of input is added.
The relationship between MP and TP can be explained with the help of a diagram:
Step 1: Draw a graph with the quantity of input on the x-axis and the quantity of output on the y-axis.
Step 2: Plot the TP curve. The TP curve initially increases at an increasing rate, reaches a maximum point, and then starts to decline. This is due to the law of diminishing returns, which states that as more and more units of a variable input are combined with a fixed input, the total output initially increases at an increasing rate, then at a decreasing rate until it eventually declines.
Step 3: Plot the MP curve. The MP curve initially rises, reaches a maximum point, and then starts to decline, eventually becoming negative. The peak of the MP curve occurs before the peak of the TP curve. This is because the marginal product is the rate of change of the total product, so when the total product is at maximum, the marginal product is zero.
Step 4: Observe the relationship. When MP is positive and rising, TP is increasing at an increasing rate. When MP is positive but falling, TP is increasing at a decreasing rate. When MP is zero, TP is at its maximum. When MP is negative, TP is falling.
In conclusion, the relationship between MP and TP is that they both initially increase, but at a certain point, they start to decrease due to the law of diminishing returns. The MP curve intersects the TP curve at its highest point, indicating the maximum output.
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