a) The Total Variable Cost (TVC) is calculated by multiplying the cost of labor per hour ($50) by the number of worker hours. For example, for 1 worker hour, the TVC is $50 (1*50), for 2 worker hours, the TVC is $100 (2*50), and so on.

b) The Marginal Product (MP) is calculated by finding the difference in output per additional worker hour. For example, the MP from the first to the second worker hour is 110 (210-100), from the second to the third worker hour is 120 (330-210), and so on.

c) The Marginal Cost (MC) is calculated by dividing the change in Total Variable Cost (TVC) by the change in output. Since the TVC increases by $50 for each additional worker hour and the output increases by the MP, the MC can be calculated as follows: for the second worker hour, the MC is $50/110, for the third worker hour, the MC is $50/120, and so on.

d) The relationship between marginal cost and marginal product is that as the marginal product increases, the marginal cost decreases, and vice versa. This is because the marginal product is the additional output produced by an additional unit of input (in this case, labor), while the marginal cost is the additional cost incurred to produce that additional output. Therefore, if more output can be produced with the same amount of input (i.e., the marginal product increases), then the cost of producing each unit of output (i.e., the marginal cost) decreases. Conversely, if less output can be produced with the same amount of input (i.e., the marginal product decreases), then the cost of producing each unit of output (i.e., the marginal cost) increases.

Question

a) The Total Variable Cost (TVC) is calculated by multiplying the cost of labor per hour ($50) by the number of worker hours. For example, for 1 worker hour, the TVC is $50 (1*50), for 2 worker hours, the TVC is $100 (2*50), and so on.

b) The Marginal Product (MP) is calculated by finding the difference in output per additional worker hour. For example, the MP from the first to the second worker hour is 110 (210-100), from the second to the third worker hour is 120 (330-210), and so on.

c) The Marginal Cost (MC) is calculated by dividing the change in Total Variable Cost (TVC) by the change in output. Since the TVC increases by $50 for each additional worker hour and the output increases by the MP, the MC can be calculated as follows: for the second worker hour, the MC is $50/110, for the third worker hour, the MC is $50/120, and so on.

d) The relationship between marginal cost and marginal product is that as the marginal product increases, the marginal cost decreases, and vice versa. This is because the marginal product is the additional output produced by an additional unit of input (in this case, labor), while the marginal cost is the additional cost incurred to produce that additional output. Therefore, if more output can be produced with the same amount of input (i.e., the marginal product increases), then the cost of producing each unit of output (i.e., the marginal cost) decreases. Conversely, if less output can be produced with the same amount of input (i.e., the marginal product decreases), then the cost of producing each unit of output (i.e., the marginal cost) increases.

Knowee AI · Accepted Answer

a) The Total Variable Cost (TVC) is calculated by multiplying the cost of labor per hour ($50) by the number of worker hours. For example, for 1 worker hour, the TVC is $50 (1*50), for 2 worker hours, the TVC is $100 (2*50), and so on.

b) The Marginal Product (MP) is calculated by finding the difference in output per additional worker hour. For example, the MP from the first to the second worker hour is 110 (210-100), from the second to the third worker hour is 120 (330-210), and so on.

c) The Marginal Cost (MC) is calculated by dividing the change in Total Variable Cost (TVC) by the change in output. Since the TVC increases by $50 for each additional worker hour and the output increases by the MP, the MC can be calculated as follows: for the second worker hour, the MC is $50/110, for the third worker hour, the MC is $50/120, and so on.

d) The relationship between marginal cost and marginal product is that as the marginal product increases, the marginal cost decreases, and vice versa. This is because the marginal product is the additional output produced by an additional unit of input (in this case, labor), while the marginal cost is the additional cost incurred to produce that additional output. Therefore, if more output can be produced with the same amount of input (i.e., the marginal product increases), then the cost of producing each unit of output (i.e., the marginal cost) decreases. Conversely, if less output can be produced with the same amount of input (i.e., the marginal product decreases), then the cost of producing each unit of output (i.e., the marginal cost) increases.

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