Production for a commodity P can be estimated by

P(t) = -0.00105t^2 + 0.0367t + 1.94

where t is the number of years after 2010.

Estimate the production in 2018.       (Don't round.)

The estimated production for the commodity in 2018 is approximately 2.1664 units.

Do you need further details or have any questions?

Here are some related questions:
1. How would the production change in 2025 using the same formula?
2. What is the rate of change of production between 2010 and 2018?
3. What is the maximum or minimum value of this production function?
4. How can you find the year when production reaches its peak using calculus?
5. How would external factors affect a model like this one?

**Tip:** To find when production peaks or bottoms out, you can take the derivative of the production function and solve for when the rate of change is zero!

Production for a commodity P can be estimated by P(t) = -0.00105t^2 + 0.0367t + 1.94, where t is the number of years after 2010. Estimate the production in 2018.

Estimate the production of commodity P in 2018 using the quadratic equation P(t) = -0.00105t^2 + 0.0367t + 1.94. This problem involves algebraic concepts, including quadratic equations and substitution, and is suitable for students in Grades 9-11.

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