How many possible ways can a housewife take to buy a book from a bookstore, then buy groceries from a supermarket if 3 bookstores and 3 supermarkets are all located at almost the same distance from her residence?”

a store can stock a maximumof 210 of tires, hubs and car seats. they know from past experience that they should stock twice as many tires as hubs and at least 30 seats.. each tire sells for $450, each hub sells for $2000 and each seat sell for $750,how many of each should be stocked and sold for maximum revenue? what is the maxiumum revenue?

Juan Hernandez, a Cuban athlete who visits the Unite States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffle bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The three most popular items in Cuba are denim jeans, CD players, and CDs of U.S. rock groups. The weight and profit (in U.S. dollars) of each items are as follows. Items Weight (lb) Profit ($)1. Denim jeans 2 902. CD players 3 1503. Compact discs 2 30 Juan wants to determine the combination of items he should pack in his duffel bag that will maximize his profit. The problem is an example of a type of integer programming known as a "knapsack" problem. Formulate and solve this problem.

Mr.and Mrs. Khan want a family picture taken with their children, Hamish, Flora and James. In how many ways can all five line up in a straight line for the picture if: the parents must be at either end of the line? the children alternate with the adults? baby James must be in the middle?