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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.

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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,

This problem has been solved

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