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Rate of Change, Marginal Cost & Revenue · Question 75 of 79

What is the bakery's greatest daily profit?

Question 75

MediumOriginal 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 greatest daily profit?

Options for question 75

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. At 40 cakes: revenue =2,000= 2{,}000; cost =200+400+800=1,400= 200 + 400 + 800 = 1{,}400.

  2. Profit =2,000−1,400=600= 2{,}000 - 1{,}400 = 600 rupees.

Worth noting

₹800 leaves out the fixed ₹200.

Concept
The maximum profit
Typical time
120 s
Your time
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The rule this testsMaximising profit and revenue
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