Anne also mows lawns in her neighborhood. In order to mow a lawn, Anne needs a lawnmower, and since she sells to the closest neighbors first, the time it takes to mow each lawn is increasing in the number of lawns mown. With a standard lawnmower, mowing q lawns requires q hours of labor, and with a turbo lawnmower it requires g/2 hours of her labor. She can rent a standard mower for $10 for a week or a turbo mower for $30 for a week.
a. Suppose in the short run Anne is committed to using the standard mower. What is her short run cost function for lawns mowed for the week?
b. Suppose instead that in the short run Anne is committed to using the turbo mower. What is her short run cost function for lawns mowed for the week?
c. What is Anne's long-run cost function?