Chapter 2.2, Problem II.9E

An urn contains 10 red balls and 30 blue balls.a Suppose you draw 4 balls from the urn. Let Xi bethe number of red balls drawn on the ith ball (Xi 0 or1). After each ball is drawn, it is put back into the urn. Are the random variables X1, X2, X3, and X4 indepen-dent random variables? b Repeat part (a) for the case in which the balls are notput back in the urn after being drawn.

There are 2657 professors in a college out of which one ofthem has to be selected for promotion through a game.Everyone will sit in a circle with numbered chairs. Each ofthem will evict the professor to his left, starting from the firstchair, and this cycle will go on until one last professor is left.Now you are one of the professors, which chair would youpick to ensure you get promoted?

The upper limit and lower limit condition can be tested through Select one: a. whatif function alone b. If within if function c. Single if function d. Countif with count function

Which of the following is NOT a determinant of the demand for good X?

Which of the following statements is correct regarding the EMH form? Select one: None of the answers are correct If the market is weak-form efficient, then it is also semistrong and strong-form efficient.  If the market is semistrong form efficient, then it is also strong form efficient If a market is strong-form efficient, it is also semistrong and weak form efficient If the market is strong-form efficient, it is also semistrong but not weak-form efficient

Suppose that $100 is invested at the beginning of a year. Which (if either) of the following methods of growing the investment results in a larger amount at the end of the year? (i) The investment grows at an interest rate of 4% per year, compounded continuously.(ii) The investment grows at an instantaneous growth rate of 4% per year.   method (i) method (ii)     Both methods produce the same amount.

Hilliard Electronics produces specially coded computer chips for laser surgery in 64MB, 256MB, and 512MB sizes. (1MB means that the chip holds 1 million bytes of information.) To produce a 64MB chip requires 8 hours of labor, a 256MB chip takes 13 hours, and a 512MB chip requires 16 hours. Hilliard’s monthly production capacity is 1,200 hours. Mr. Blank, the firm’s sales manager, estimates that the maximum monthly sales of the 64MB, 256MB, and 512MB chips are 40, 50, and 60, respectively. The company has the following goals (ranked in order from most important to least important): 1. Fill an order from the best customer for thirty 64MB chips and thirty-five 256MB chips. 2. Provide sufficient chips to at least equal the sales estimates set by Mr. Blank. 3. Avoid underutilization of the production capacity. Formulate this problem using goal programming

A hotel has 200 rooms and 2 fares: low fare, which is $250 per night’s stay, and high fare, which is $350 per night’s stay. The low fare is for leisure travelers who will book first, and the high fare is for business travelers who will book after all leisure travelers have made their booking. Suppose that there are a sufficiently large number of leisure travelers, which means that every room except rooms kept for business travelers will be booked by leisure travelers. If a low-fare room is booked, the hotel will spend $14 in hiring a part-time employee to clean the room ($14/room); if a high-fare room is booked, the hotel will spend $25 in hiring a part-time employee to clean the room thoroughly ($25/room). For both types of rooms, if they are booked, the hotel has to pay $10/room for the consumption of electricity and water. The number of business travelers who want to book a room is discrete uniformly distributed over 41, 42, …, 50. Please find out the optimal protection level for…

A company produces three different products; x,y, and z. For the production of 1 unit of product x, 1 unit of A and 1 unit of B are used as input. 1 unit of A and 2 units of B are used to produce 1 unit of product y. To produce 1 unit of product z, only 1 unit of A is used. The company holds 40 units of A and 20 units of B periodically in total. By the way, the company can not produce product y more than the twice of product z. On the other hand, the sale price of 1 unit of product x is 10 TL, product y is 15 TL and product z is 12 TL. Furthermore, the cost of 1 unit of product x is 8 TL, product y is 9 TL and product z is 7 TL. According to above information, what should be the company’s optimal product mix to maximize its profit? Construct the problem as a Linear programming model. Solve the above problem by using Simplex Method.