6. The function P(x) = -2x3 + 24x2 - 42x + 2 gives the profit, in thousand dollars, for producing x hundred gadgets. How many gadgets need to be sold to maximize profits? What is the maximum profit? 7. A grocery store orders frozen pies in batches from a bakery and sells them in the grocery store. Storing one frozen pie for a year costs $0.95. When the grocery store reorders pies, there is a fixed cost of $5.75 per order as well as $1.15 per pie. Each year, they sell 1250 frozen pies. Write the function needed in order to determine the optimal number of pies to order to minimize their total inventory costs. Do not solve! 8. During the first couple weeks of a new flu outbreak, the disease spreads according to the equation I(t) = 4100e0.0965 , where I(t) is the number of infected people t days after the outbreak was first identified. Find the rate at which the infected population is growing after 10 days