3+1, if x 24 If f ( x) = (2 + 3x + 9, if x5 4' then lim f(x) = x-3 A. 1 B. 27 C. 28 D. Does not exist.A company producing computer components has established that, on average, a new employee can assemble A(t) components per day after t days of on-the-job training, as given by 100t N(t) 1+ 9 How many components per day can a new employee assemble after 6 days of on-the-job training? A. 50 components/day B. 40 components/day C. 55 components/day D. 45 components/dayA newly released smartphone operating system gives users an immediate notice to update but no further reminders. The percent P of users that have installed the update after t days is given 99t 2 by P (t) = t2+50 What percentage of users have installed the update after 20 days? A. 88% B. 66% C. 33% D. 22%According to the equation ] = 1-1:] + 0.8x the length of a material increases as it is heated up, the raise at which the length is increasing Is given by: 140 + {1.30: + h) (140 + 0.3x) lim h-oo h calculate this limit. A. 0.8 B. 0.3:: C. 0.3h D. Does not exist x3+15x3+50x According to the equation 310:) = 1-164 , the yearly sales, y of a certain company (In thousands of dollars} is related to d1e amount that company spends on advertising, 2: (in thousands of dollars), If the company decided to spend $11,503 on adverslng, calculate the anticipated yearly sales (in thousands of dollars) by determining lim x). x4115 A. T631 B. 6?.43 C. 63.63 D. 59.?7 The rate of change of productivity p (in number of units produced per hour} increases with time an the job by the function p = 50'3\"\"). Find 13511]. 1:2 +3t+2lll A. 37.50 B. 31.25 C. 55.25 D. 46.85 \fIf the profit function for a certain business is given by: P(x) = 225x - 3x2 - 800, determine lim P(x). x-12 A. $1468 B. $2332 C. $3068 D. $ 3932As the pressure on an object increases, the rate at which its density is increasing is given by lim 125+75(x+h)-(125+75x) Calculate this limit. h-0 h A. 75 B. 125 C. 200 D. Does not exist.