1) Economic Application of Integrals. Given the following marginal-revenue functions: a) R'(Q) = 28Qe-0.30 b) R'(Q) = 10(1 + Q)-2 find in each case the total-revenue function R (Q). What initial condition can you introduce to definitize the constant of integration? 2) Economic Application of Integrals. a) Given the marginal propensity to import /"() ) = 0. land the information that M = 20 M=20 when Y = 0Y=0, find the import function M(Y). b) Given the marginal propensity to consume C"() ) = 0.8 + 0.1) and the information that C' = YC=Y when Y = 100Y=100, find the consumption function C(Y). 3) Application of Optimization Problems. Use bordered determinants to check the following functions for quasiconcavity, and quasiconvexity: a) Z = -x2 - y (x,y > 0) b) Z = -(2+1)2 - (y+2)2 (x,y > 0)