A manufacturing company has its variable cost given by C(x) = x(80 - x^2) where x is the number of quantities produced. The price per unit is p(x) = 5 - Mathematics MCQ Mathematics Mock Test - 4 2026 | ExamTest.live

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A manufacturing company has its variable cost given by C (x) = x (80 - x^{2}) where x is the number of quantities produced. The price per unit is p (x) = 5 x . The ratio of marginal cost and marginal revenue when 5 units were both produced and in demand is:

Solution & Step-by-step Explanation

1. Marginal Cost (MC): C (x) = 80 x - x^{3} MC = C^{'} (x) = 80 - 3 x^{2} At x = 5, MC = 80 - 3 (25) = 80 - 75 = 5 .2. Marginal Revenue (MR):Revenue R (x) = x \cdot p (x) = x (5 x) = 5 x^{2} MR = R^{'} (x) = 10 x At x = 5, MR = 10 (5) = 50 .3. Ratio:Ratio = MC : MR = 5 : 50 = 1 : 10 .

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A manufacturing company has its variable cost given by C (x) = x (80 - x^{2}) where x is the number of quantities produced. The price per unit is p (x) = 5 x . The ratio of marginal cost and marginal revenue when 5 units were both produced and in demand is:

1 : 10

1 : 2

2 : 1

10 : 1

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