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Peter's consumption over bagels (b) and tea (t) is represented by U(b,t)=b0.5+t0.5 His marshallian demands are given by: bm=pb(pb+pt)ptI,tm=pt(pb+pt)pbI (a) Without solving the expenditure minimization problem. Recover the Hicksian demands and the expenditure function from the Mashallian demands and the indirect utility function. (b) Using the Slutsky equation find the total, income and substitution effect on bagels for a small increase in pb when pb=1,pt=1, and I=12 1 (c) Find the compensated own price elasticity of demand for bagels (eb,pbc) when pb=1, pt=1, and I=12. (d) Find the compensated cross-price elasticity of demand for bagels (eb,ptc) when pb=1, pt=1, and I=12. Peter's consumption over bagels (b) and tea (t) is represented by U(b,t)=b0.5+t0.5 His marshallian demands are given by: bm=pb(pb+pt)ptI,tm=pt(pb+pt)pbI (a) Without solving the expenditure minimization problem. Recover the Hicksian demands and the expenditure function from the Mashallian demands and the indirect utility function. (b) Using the Slutsky equation find the total, income and substitution effect on bagels for a small increase in pb when pb=1,pt=1, and I=12 1 (c) Find the compensated own price elasticity of demand for bagels (eb,pbc) when pb=1, pt=1, and I=12. (d) Find the compensated cross-price elasticity of demand for bagels (eb,ptc) when pb=1, pt=1, and I=12