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Rate of Change, Marginal Cost & Revenue · Question 63 of 79

What is the bakery's marginal cost when it makes 30 cakes a day?

Question 63

EasyOriginal question

A home bakery's cost of making xx cakes a day is C(x)=200+10x+0.5x2C(x) = 200 + 10x + 0.5x^{2} rupees. Every cake sells for ₹50, however many she makes.

What is the bakery's marginal cost when it makes 30 cakes a day?

Options for question 63

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. MC=C′(x)=10+xMC = C'(x) = 10 + x.

  2. At x=30x = 30: 10+30=4010 + 30 = 40 rupees.

Worth noting

₹25 differentiates 0.5x20.5x^{2} as 0.5x0.5x; the power comes down as a factor of 2.

Concept
Marginal cost as the derivative of cost
Typical time
90 s
Your time
—
The rule this testsMaximising profit and revenue
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