MULTIPLE CHOICE. . Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet longer than the length of a shelf. If 26 feet of lumber is available for the entire unit (including the shelves, but NOT the back of the bookcase), find the length and height of the unit. shelf length height A) length = 3 ft; height = 12 ft B) length = 11.0 ft; height = 13.5 ft C) length = 3 ft; height = 7 ft D) length = 4.5 ft; height = 8.5 ft Solve the equation by the zero-factor property. 2) x2 + 10x - 24 = 0 A) {-2, 12} B) {-12, 2} C) {-12, -2} D) {2, 12} Solve the equation by the square root property. 3) (3x + 7)2 = 36 A) (1 131 Solve the equation by completing the square. 4) x2 + 10x = -16 A) {-2, -8} B) {-2, 8} C) {2, 8} D) (2, -8} Solve the equation using the quadratic formula. 5) 3x2 =-12x - 5 5) A) -64 ~/211 12 2 4 21 Solve the problem. 6) Your company uses the quadratic model y = -4.5x2 + 150x to represent the average number of new customers who will be signed on (x) weeks after the release of your new service. How many new customers can you expect to gain in week 18? A) 621 customers B) -108 customers C) 2619 customers D) 1242 customers 7) The stadium vending company finds that sales of hot dogs average 31,000 hot dogs per game when the hot dogs sell for $2.50 each. For each 50 cent increase in the price, the sales per game drop by 5000 hot dogs. What price per hot dog should the vending company charge to realize the maximum revenue? A) $0.60 B) $3.10 C) $2.80 D) $3.05