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Philadelphia University Faculty Of Science Dep. of Basic Science and Math Business Mathematics (250105), First semester First exam Student Name : ---------------------Student Number : -------------------- Date & Time: 19/11/2012-50 Min Form : A ---------------------------------------------------------------------------------------------------------------------------------- Q1 : Choose the correct answer: a) 4 (12 points) 1. The Slope of the Line –x+4y=5 is b) -4 c) -1/4 2. Make x the subject of the formula y=8/(6x+7) a) x=(-8+7y)/6y b) x=(8-7y)/6y c) x=(6y+7)/8y d) 1/4 d) x=(8-6y)/7y 3. The set of solution of the equation x2+2x-3=0 is a) {2,3} b) {-3,1} c) {-1,3} d) {-1,1} 4. Which of the following is increasing function a) 2x-y=7 b) y+7x=8 c) -2y-10x=6 d) 2-3y=8x 5. The inverse of the function f(x)=2x/(x+3) is a) f-1(x)=3x/(2-x) b) f-1(x)=(x+3)/2x c) f-1(x)=2x/(3-x) d) f-1(x)=2x/(x+3) 6. The minimum point of the function f(x)=2x2-4x+1 is a) Doesn’t exist b) (1,1) c) (1,-1) d) (2,1) 7. Solve the inequality 3x+4 ≤ 5x+2 a) (-∞,-1/4] b) (-∞,-1/4) c) [1,∞] d) (1,∞) 8. Solve │2x+3│=7 a) {-5,2} b) {-2,5} d) {-7,3} c) {-3,7} Q2 : The demand and supply functions of a good are given by P=-3QD+40, P=(1/3)QS+10 respectively (4 points) Find the equilibrium point if the government imposes a fixed tax of $5 on each good. Q3 : If the fixed cost of agood is 3 ,the variable cost per unit is 2 and the demand function is P=26-6Q, find Q that maximize the profit (4 points)