1. Every year, Erin D'Aquanni sells 30,000 cases of her Famous Spaghetti Sauce. It costs her $1 per year in electricity to store a case, plus she must pay annual warehouse fees of $20 per case for the maximum number of cases she will store. If it costs her $750 to set up a production run, plus $8 per case to manufacture a single case, how many production runs should she have each year to minimize her total cost? Show your detailed work.
2. Find the slope of the tangent to the curve x²+y² = 1 at (0.4, 0.92)