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Exercise 4 Leta(c)-c1/2 and let c2 > cı > 0 be given. Let: π1c1+12c2. where π2 = 1-T1. (i) Sketch the function u and indicate in your sketch the points (C1, u(a), (c, u(c)), and (c2,u(c2)). (ii) Draw the line that connects the two points (ci, u(cı)) and (c2, u(c2)) and represent that line algebraically. Hint: Find the slope and intercept in terms of the two points, (c1, u(c) and (c,,u (сг)).] (iii) Use that algebraic result to show that the point (c-Tu(A) + Co.ulC222 π2u(c2)) is on that line.

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0 uC) b)Now line ABAlgebic grom a-C lope 0- | C) Now point (C, Miul+下2u 2) lie online putC-C-Tat , C2-C) C2-ty C2-C eg o

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Exercise 4 Leta(c)-c1/2 and let c2 > cı > 0 be given. Let: π1c1+12c2. where π2...
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