A company's marginal cost function is frac{15}{sqrt{x}} where mathrm{x} is the number of units. Find the total cost of the first 64 units (of increasing production from x=0 to x=64 ) Total cost:

Question

A company&#x27;s marginal cost function is frac{15}{sqrt{x}} where mathrm{x} is the number of units. Find the total cost of the first 64 units (of increasing production from x=0 to x=64 ) Total cost:

Accepted Answer

Step:1 ：The company&#x27;s marginal cost function is given by (frac{15}{sqrt{x}}) where (x) is the number of units.Step:2 ：The total cost is the integral of the marginal cost function from 0 to 64.Step:3 ：We need to calculate this integral.Step:4 ：By calculating the integral, we find that the total cost is 240.Step:5 ：Final Answer: The total cost of the first 64 units is (boxed{240}).

Answer

Step: 1 ：The company&#x27;s marginal cost function is given by (frac{15}{sqrt{x}}) where (x) is the number of units.Step: 2 ：The total cost is the integral of the marginal cost function from 0 to 64.Step: 3 ：We need to calculate this integral.Step: 4 ：By calculating the integral, we find that the total cost is 240.Step: 5 ：Final Answer: The total cost of the first 64 units is (boxed{240}).

A company's marginal cost function is $\frac{15}{\sqrt{x}}$ where $\mathrm{x}$ is the number of units. Find the total cost of the first 64 units (of increasing production from $x=0$ to $x=64$ ) Total cost: $\$$

Answer

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