Baird Corporation$$s balance sheet indicates that the company has $$520,000$ invested in operating assets. During the year, Baird earned operating income of $$54,080$ on $$1,040,000$ of sales.

Required

Compute Baird$$s profit margin for the year.

Compute Baird$$s turnover for the year.

Compute Baird$$s return on investment for the year.

Recompute Baird$$s ROI under each of the following independent assumptions:

$(1)$ Sales increase from $$1,040,000$ to $$1,248,000,$ thereby resulting in an increase in operating income from $$54,080$ to $$62,400.$

$(2)$ Sales remain constant, but Baird reduces expenses, resulting in an increase in operating income from $$54,080$ to $$56,160.$

$(3)$ Baird is able to reduce its invested capital from $$520,000$ to $$416,000$ without affecting operating income.