Suppose aggregate demand is P(Q) = 21 – 2Q in a competitive environment (the product is an identical/homogenous commodity).There are three firms with different cost structures that could sell:C1(Q) =1 + Q + .5 * Q2C2(Q) = Q + Q2C3(Q) = 100 +Q +  2.5 * Q2What is the equilibrium quantity? Note that demand is different and firms 1 and 3 have a different cost function when compared to prior question.  (Hint: answer is not an integer)

Consider a coffee shop on campus that sells to both students and faculty. The coffee shop’s cost function is C(Q) =.2 + .2 * Q.Right before exams, students really need coffee, and have demand PS(Q) = 8.2 – .5 * Q; however, faculty do not need as much coffee until after the exam, so their demand is PF(Q) = 4.6 – .4 * Q.  Suppose there are 10 students and 2 faculty members.How much producer surplus could the coffee shop get if it is able to charge personalized prices? (Hint: answer is not an integer).

d.)  Determine the support reactions (forces and moments) at B  reaction force at B in the x-direction, R_B_x (N)

reaction moment at A in the y-direction, M_A_y (N-cm)

b.) Determine the tensile force supported by member CD (kN).

reaction force at B in the y-direction, R_B_y (N)

Problem 5 (25 pts) All members of the truss have the same length, L = 1 m.  The reaction force at A is Ay = 133.3 kN and the reaction forces at G are Gx = 0 and Gy = 166.7 kN.  Draw the free body diagram(s) that you use to solve this problem. a.) Determine the tensile force supported by member BD (kN).

reaction force at B in the z-direction, R_B_z (N)

Problem 1 (10 pts) The area below consists of a square with a quarter circle on top. Use the method of composite shapes to determine the y-coordinate of the centroid (mm).

LABORATORY ACTIVITY #11 QUESTION #2: According to course materials only, what is a randomized controlled study (trial)? (1pt) NOTE: Be sure to refer to Laboratory Activity #11 materials from Module #10 when responding Laboratory Activity #11 Question #2 above.