You have gotten stuck on a tropical desert island and you need a certain amount of protein and fruit to survive. You settle on fish and coconuts as a reasonable dietary combination. Letting y denote kilograms of coconuts and a kilograms of fish, you determine that your feasible frontier for harvesting coconuts and catching fish takes the form and your utility function representing your preferences for fish and coconuts is given by 0.5, 0.5 H ** y = 15 u(x, y) = = Then your marginal rate of substitution mrs(x, y) is equal to 10 201 015-10 0-15 + 10 x and your marginal rate of transformation mrt(x, y) is equal to O O Your utility-maximising consumption bundle of fish and coconuts consists of