advertisement

Problem Sheet #7 (3.1-3.3) ClassID: _____ Name: _________________________ Hmk. 7 Score _________ Math 1090 – 001 Spring 2013 Instructor: Katrina Johnson Complete each problem. Clearly indicate your final answer. No credit will be given without supporting work. 1. Solve for x. a) 4 x 2 −12x = 18 € b) 8x 2 + 3x + 2 = 7x 2 € c) 9x 2 − 5 = 607 € d) 5x 2 −11 = 4 x € 2. If the demand function for a commodity is given by p = 96 − 5q − q 2 and the supply function is given by p = q 2 + 3q + 32 , find the market equilibrium quantity and price. (Write your answer as a point.) € € 3. Complete the square to write y = x 2 − 3x + 3 in vertex form. € 4. Consider the function, f (x) = −3(x +1) 2 − 4 , for the following problems. a) What is the vertex of the function? € b) Is the vertex a maximum or minimum? c) What is the axis of symmetry of the function? d) What are the x-intercepts of the function? e) What is the y-intercept of the function? 5. Mr. Smith makes and sells bicycles. His cost function is given by C(x) = 50x + 744 . His revenue function is described by R(x) = −x 2 +124 x . a) What is the profit function? € € b) What is the maximum profit? c) How many bicycles must be sold to break-even? What is the cost of producing these bicycles?