1. **State the problem:** We are given the cost function for selling $x$ volleyball uniforms as $$c(x) = 1200 + 14x + 0.045x^2.$$ We want to understand or evaluate this function, possibly at a specific value of $x$. 2. **Formula and explanation:** This is a quadratic cost function where: - $1200$ is the fixed cost (cost when $x=0$), - $14x$ is the linear cost component, - $0.045x^2$ is the quadratic cost component which increases with the square of $x$. 3. **Evaluate the function at a specific $x$ (if needed):** For example, if we want to check the cost at $x=28$, substitute $x=28$: $$c(28) = 1200 + 14(28) + 0.045(28)^2.$$ 4. **Calculate each term:** $$14(28) = 392,$$ $$0.045(28)^2 = 0.045 \times 784 = 35.28.$$ 5. **Sum all terms:** $$c(28) = 1200 + 392 + 35.28 = 1627.28.$$ 6. **Interpretation:** The total cost to produce 28 volleyball uniforms is $1627.28$. The crossed out handwritten $1228.04$ is incorrect for $x=28$. Final answer: $$c(28) = 1627.28.$$