A man launches his boat from point A on a bank of a straight river, 3 km wide and wants to reach point B, 8 km downstream on the opposite bank, as quickly as possible. He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between C and B and then run B. If he can row 6km/h and run 8km/h, where should he land to reach B as soon as possible?
Step 1: picture
Step 2: Objective equation
Step 3; Constraint equation
Step 4: Write objective equation as a function of one variable and state a feasible domain
Step 5: solve