The cost to manufacture a product is proportional to the quantity produced, with a cost of $200000 dollars per day when 1000 items are produced. The cost to store n items is proportional to the square of n, with a daily storage cost of $8000 dollars when 1000 items are stored. In addition, there is a fixed daily cost of $8000. The total daily cost, T when producing and storing n items is the sum of production, storage and fixed costs. Write a formula for T as a function of n.

Which is cheaper: eating out or dining in? the mean cost of a flank steak, broccoli, and rice bought at the grocery store is $13.04 (money.msn website, november 7, 2012). a sample of 100 neighborhood restaurants showed a mean price of $12.75 and a standard deviation of $2 for a comparable restaurant meal. a. develop appropriate hypotheses for a test to determine whether the sample data support the conclusion that the mean cost of a restaurant meal is less than fixing a comparable meal at home. b. using the sample from the 100 restaurants, what is the p-value? c. at a = .05, what is your conclusion? d. repeat the preceding hypothesis test using the critical value approach