1. The production costs, in dollars, per week of producing \( x \) widgets is given by :
\[
C(x)=800+0.008 x^{2}+\frac{56,000}{x}
\]
and the demand function for the widgets is given by,
\[
p(x)=350-0.05 x-0.001 x^{2}
\]
- What is the marginal cost, marginal revenue and marginal profit when \( \mathrm{x}=175 \) and \( x=325 \) ?
- What do these numbers tell you about the cost, revenue and profit?