2. Provide a graphical (one combined) solution for the system of linear inequalities below: 3 y + t > 3 7 11t > 7y _ .(i) .(ii) y + 11 > 1/1t .(iii) 9 t> 0 ..(iv) [13 marks] 3. Tesla estimates that its profit expressed in thousands of dollars each month is given by the expression: -6q2 + 30q+3210 where q (in thousands) is the number of cars produced and sold in a month. Determine the following: a. If Tesla's cost function is C(q) = 3210, state Tesla's variable cost per car. [2 marks] b. If Tesla wishes to make a profit greater than $2,910,000, calculate and state the interval of value(s) for which this goal can be achieved. [6 marks] Problem Set C 1. Classify the following series: a. 7, 9, 11, 13...... b. n+2, 2n - 4, 4n+8... [2 marks] [2 marks] 2. Using a method of your choice, determine the quadratic factor and remainder when the - cubic function r(q) = 3q 12q + 5 is divided by the linear factor (q - 2). [5 marks]