HW Sec 4.7 Applied Optimization: Problem 8 (1 point) Applied Optimization An island is 1.9mi due north of its closest point on a straight shoreline. A visitor is staying at a cabin on the shore that is 7.4mi from that point. The visitor is planning to go from the cabin to thp island. Suppose that the visitor runs at a rate of 4mph and swims at a rate of 1mph. How far should the visitor kun before swimming to minimize the time it takes to reach the island? Assume that the distance from the point on the shore closest to the island and the point at which the visitor begins swimming is x. Then the time spent running by the visitor as a function ofHow far should the visitor run from the cabin in order to minimize the time it takes for them to reach the island? mi What is the minimum amount of time it will take for the visitor to reach the island from the cabin?hrNOTE: you may use decimals in your answers to this problem. If you enter an answer containing decimals, make sure it is correct to at least 3 decimal places.
