Clara’s utility function is U(X, Y ) = (X + 2)(Y + 1), where X is her consumption of good X and Y is her consumption of good Y . (a) Write an equation for Clara’s indifference curve that goes through the point (X, Y ) = (2, 8). Y = On the axes below, sketch Clara’s indifference curve for U = 36. Y 16 12 8 4 0 4 8 12 16 X (b) Suppose that the price of each good is 1 and that Clara has an income of 11. Draw in her budget line. Can Clara achieve a utility of 36 with this budget?

Galwaysc electronics makes two products. model a requires component a and component c. model b requires component b and component c. new versions of both models are released each year with updated versions of all components. all components are sourced overseas, and abc contracts annually for a quantity of each component before seeing that year’s demand. components are only assembled into finished products once demand for each model is known. for the coming year, alwaysc’s purchasing manner has proposed ordering 500,000 units of component a, 630,000 of component b, and 1,000,000 units of component c. her boss has asked why she has recommended purchasing so much of components a and b when alwaysc will not have enough of component c to fully use all of the inventory of a and b. what factors might the purchasing manager cite to explain her recommended order? explain your reasoning.

An increase in the market price of men's haircuts, from $16 per haircut to $26 per haircut, initially causes a local barbershop to have its employees work overtime to increase the number of daily haircuts provided from 20 to 25. when the $26 market price remains unchanged for several weeks and all other things remain equal as well, the barbershop hires additional employees and provides 40 haircuts per day. what is the short-run price elasticity of supply? nothing (your answer should have two decimal places.) what is the long-run price elasticity of supply? nothing (your answer should have two decimal places.)

Experienced problem solvers always consider both the value and units of their answer to a problem. why?