3. (32 points) Consider a rm that employs capital k and labor I to produce books. Its production functiOn is given by f(k,l) = 161/211\". Let the prices for capital and labor be wk and 11);, reSpectively. a. Does this productiOn function exhibit coristant, decreasing, or in- creasing returns to scale? Diminishing marginal products? Dimin- ishing technical rate of substitution? b. Derive the rm's conditional input demand functions and its total cost function. c. Now suppose that capital is xed at is; = 4 in the short-run. What is the rm's optimal quantity supplied in the short-run if books sell for 30: $50 and wk = $2 and 10;: $1