Final answer:
To find the critical numbers of the function h(p) = p - 5p² + 1, set the derivative of the function equal to zero and solve for the variable.
Step-by-step explanation:
The critical numbers of a function can be found by setting the derivative of the function equal to zero and solving for the variable. In this case, the derivative of h(p) = p - 5p² + 1 is h'(p) = 1 - 10p. Setting h'(p) equal to zero gives us 1 - 10p = 0. Solving for p, we find that p = 0.1.