Hunter consumes two goods, cellphones and laptops. Their utility function over cellphones (C) and laptops (L) is represented by the utility function U(C,L)=C^1/3 L^2/3. Hunter will earn a salary of $3,000,000 this year and will spend all of it on cellphones and laptops, however due to inflation they don't know how much each will cost. Given this information, which of the following statements is most accurate? a. Hunter will spend $2,000,000 on laptops b. Regardless of how many laptops and cellphones Hunter would by at current prices, if the price of a laptop rises and the price of a cellphone stays constant Hunter will buy fewer cellphones.
c. Hunter will spend $1,500.000 on laptops and $1,500,000 on cellphones d. Regardless of how many laptops and cellphones Hunter would by at current prices, if the price of a laptop falls and the price of a cellphone stays constant Hunter will buy more of both.