The Quickprint Publishing Company plans to publish a vegetarian cookbook. The cost (in rand) to produce x𝑥 books is given by the function C(x)=2600+15x𝐶(𝑥)=2600+15𝑥. When interpreting C(150)=4850𝐶(150)=4850, the correctcorrect statement isSelect one:a. the variable cost to produce 150150 books is R2250R2250. b. the fixed cost to produce 150150 books is calculated as 150×R15150×R15. c. the total cost to produce 150150 books is R2600R2600. d. the marginal cost to produce 150150 books is R4850R4850.
Question
The Quickprint Publishing Company plans to publish a vegetarian cookbook. The cost (in rand) to produce x𝑥 books is given by the function C(x)=2600+15x𝐶(𝑥)=2600+15𝑥. When interpreting C(150)=4850𝐶(150)=4850, the correctcorrect statement isSelect one:a. the variable cost to produce 150150 books is R2250R2250. b. the fixed cost to produce 150150 books is calculated as 150×R15150×R15. c. the total cost to produce 150150 books is R2600R2600. d. the marginal cost to produce 150150 books is R4850R4850.
Solution
The correct statement is:
a. The variable cost to produce 150 books is R2250.
Here's why:
The cost function C(x) = 2600 + 15x represents the total cost to produce x books. It consists of two parts: a fixed cost (2600) and a variable cost (15x) that depends on the number of books produced.
When x = 150, the total cost C(150) is given as 4850.
To find the variable cost for producing 150 books, we can subtract the fixed cost from the total cost:
Variable cost = Total cost - Fixed cost Variable cost = C(150) - 2600 Variable cost = 4850 - 2600 Variable cost = R2250
So,
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