Problem \#3: A baker bakes and sells 200 muffins a day at a price of $2.00 each. A market survey shows that for each $0.05 reduction in cost, the baker will sell 10 more muffins. a. How much should the baker charge for the muffins in order to maximize the revenue? What is the maximum revenue and how many muffins should the baker make to achieve that maximum? b. If the cost to make the muffins is $0.30 each, then how much should baker charge per muffin to maximize the profit? How many muffins per day achieves that level of profit, and what is the maximum profit? Problem \#4: A box factory makes 100,000 cardboard boxes each year for an egg producer. It costs $0.10 to store one box for one year. Each time the factory manufactures boxes, it costs $200 to setup the machines. How many boxes should the factory during each production run in order to minimize the total storage and setup costs