Astereo manufacturer makes three types of stereo systems, i, ii, and iii, with profits of $20, $30, and $40, respectively. no more than 100 type-i systems can be made per day. type-i systems require 5 man-hours, and the corresponding man-hours for types ii and ii are 10 and 15, respectively. if the manufacturer has available 2000 man-hours per day, determine the number of units from each system that must be manufatured in order to maximize profit. compute the corresponding profit.

Aconcession manager at yankee stadium wants to know how temperature affects beer sales. she took a sample of 10 games and recorded the number of beers sold and the temperature in the middle of the game. temperature 80 68 78 79 87 74 86 92 77 84 number of beers 20533 1439 13829 21286 30985 17187 30240 87596 9610 28742 a. draw a scatter plot of the data. b. the manager estimates the regression equation to be: numberofbeers = −100, 678 + 1, 513 ∗ temperature draw this on your scatter plot. c. for one of the estimated points, indicate the residual with ei . d. for that same point, indicate what part of the variation is explained by the model with ˆyi − y¯.