1.1. In each of the following equations, solve for the unknown variable. 1.1.1. 8e-6= -2e + 14 1.1.2. u+u = 2u - 13 10 1.2. The profit function of Goodison Merchandise is known to be linear and of the form P(x) = a + bx, where P is the profit in Rands and x is the number of units sold. The constants a and b are unknown. Financial reports from the company show that when 300 units are sold the profit is R 4000, while when 450 units are sold, the profit is R 10 000. 1.2.1. Show that a = -8000 and b = 40. 1.2.2. What is the break-even level? 1.3. The revenue and cost functions, respectively, for a business is given by the following nonlinear equations: R(x) = 5x - 30x - 22 and C(x) = 4x 20x + 17 where R and C are the revenue and cost in Rands and x is the number of units sold. 1.3.1. Determine the profit function. 1.3.2. What is the break-even level? The mass (in kg) of 20 Kenyan athletes is given below. 56 67 52 71 59 61 75 53 82 51 56 55 58 57 81 72 69 54 2.1. Construct a grouped frequency distribution of the above data using a class width of 5 kg. Let 50 kg be the lower limit of the initial class. 69 77 2.2. Calculate the estimated mean using the grouped data in 2.1. 2.3. Using the grouped data, calculate the standard deviation and interpret the value obtained.