If the units of variable input in a production process are \(1,2,3,4,\) and 5 and the corresponding total outputs are \(10,22,33,42,\) and 48 respectively, the marginal product of the fourth unit is a. 2 b. 6 c. 9 d. 42

Short Answer

Expert verified
The marginal product of the fourth unit is 9 (option c).

Step by step solution

01

Understand the concept of marginal product

In the context of production processes, marginal product refers to the additional output produced when one more unit of input (variable) is added. In this exercise, we are given a set of variable inputs, and their corresponding total outputs.
02

Identify the total outputs for 3rd and 4th units

The total output for the 3rd unit is 33, and for the 4th unit, it is 42. We now need to identify the marginal product of the fourth unit, i.e., the additional output produced when the fourth unit is added.
03

Calculate the marginal product of the fourth unit

To find the marginal product of the fourth unit, subtract the total output of the 3rd unit from the total output of the 4th unit: Marginal Product = Total Output(4th unit) - Total Output(3rd unit) = 42 - 33 = 9
04

Identify the correct option

As per our calculation, the marginal product of the fourth unit is 9. Comparing this to the given options: a. 2 b. 6 c. 9 d. 42 The correct answer is option (c), 9.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free