Richard Likes pork ribs (R) and chicken (c). His utility function is (R, C) = 10R²C. His weekly income is $90 which he spends exclusively on R and C. The price for a slab of ribs is $10 and that for a piece of chicken wing is $15.

(a)Derive the Marshallian and Hicksian demand functions for pork ribs and chicken wings.

(b)If the price of ribs falls to $5, algebraically and graphically show the income and substitution effects of this price change (Ribs are on the horizontal axis). Ensure to put the values on the graph showing both substitution and income effect.