Solve the below:
Q: Determine whether the statement is true or false. If it is true, explain why it is true. If false, give an example to show it is false.
1. If the marginal profit function is positive at x=a, then it makes sense to increase the level of production.
2. If f and g are differentiable and f(x)g(y) = 0, then
dy/dx = - f '(x)g(y) / f(x)g'(y) where (fx) and g'(y) can not equal 0.