A manufacturer produces two models of bicycles. The times (in hours) required for assembling, painting and packaging each model are shown in the table. The total times available for assembling and painting are 1600 hours and 1200 hours, respectively. The profits per unit are $50 for model A and $48 for model B. How many of each type should be produced to maximize profit? What is the maximum profit? [hours required for model A] [hours for model B]
assembling - 4 assembling - 2
painting - 2 painting - 3

3.17 scores on stats final. below are final exam scores of 20 introductory statistics students. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 57, 66, 69, 71, 72, 73, 74, 77, 78, 78, 79, 79, 81, 81, 82, 83, 83, 88, 89, 94 (a) the mean score is 77.7 points. with a standard deviation of 8.44 points. use this information to determine if the scores approximately follow the 68-95-99.7% rule. (b) do these data appear to follow a normal distribution? explain your reasoning using the graphs provided below.