{"id":46705,"date":"2024-04-15T22:16:13","date_gmt":"2024-04-15T22:16:13","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=46705"},"modified":"2024-04-15T22:16:13","modified_gmt":"2024-04-15T22:16:13","slug":"if-for-a-particular-combination-of-labour-and-capital-the-marginal-productivity-of-capital-is-4-units-of-output-and-the-marginal-rate-of-technical-substitution-is-2-units-of-capital-per-unit-of-labou","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-for-a-particular-combination-of-labour-and-capital-the-marginal-productivity-of-capital-is-4-units-of-output-and-the-marginal-rate-of-technical-substitution-is-2-units-of-capital-per-unit-of-labou\/","title":{"rendered":"If for a particular combination of labour and capital, the marginal productivity of capital is 4 units of output and the marginal rate of technical substitution is 2 units of capital per unit of labour, then the marginal productivity of labour will be"},"content":{"rendered":"<p>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a9750b7a41f7\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"true\">\r\n                    01-Feb                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    4                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"false\">\r\n                    6                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    8                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--more--><\/p>\n<p>The correct answer is $\\boxed{\\text{B}}$.<\/p>\n<p>The marginal productivity of capital (MPK) is the additional output that is produced when one more unit of capital is used, holding all other inputs constant. The marginal rate of technical substitution (MRTS) is the amount of capital that must be given up to increase labor by one unit, holding output constant.<\/p>\n<p>In this question, we are given that the MPK is 4 units of output and the MRTS is 2 units of capital per unit of labor. This means that if we increase labor by one unit, we must give up 2 units of capital in order to keep output constant.<\/p>\n<p>The marginal productivity of labor (MPL) is the additional output that is produced when one more unit of labor is used, holding all other inputs constant. We can calculate the MPL as follows:<\/p>\n<p>$$MPL = \\frac{MPK}{MRTS} = \\frac{4}{2} = 2$$<\/p>\n<p>Therefore, the marginal productivity of labor is 2 units of output.<\/p>\n<p>Here is a brief explanation of each option:<\/p>\n<ul>\n<li>Option A: 1\/2. This is incorrect because the marginal productivity of labor cannot be negative.<\/li>\n<li>Option B: 4. This is the correct answer.<\/li>\n<li>Option C: 6. This is incorrect because the marginal productivity of labor <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> cannot be greater than the marginal productivity of capital.<\/li>\n<li>Option <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> D: 8. This is incorrect because the marginal productivity of labor cannot be greater than the marginal productivity of capital.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Join Our Telegram Channel Subscribe on YouTube<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If for a particular combination of labour and capital, the marginal productivity of capital is 4 units of output and the marginal rate of technical substitution is 2 units of capital per unit of labour, then the marginal productivity of labour will be<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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