Question

The Picture above is the equation I had gotten wrong. the one on the bottom is the new question. I cannot seem to figure out the question. Thank you for your help on the question.

Score: 3 of 4 pts 6 of 6 (6 complete) HW Score: 94.74%, 18 of 19 pts 2 4.4.37 Question Help An island is 12 mi from the nearest point on a straight shoreline, that point is 16 mi Write an equation for the total cost, C, as a function of x, where x is the distance from a power station (see figure). A Utility company plans to lay electrical cable from the shoreline closest to the island and the point where the cable leaves the underwater from the island to the shore and then underground along the shore to shore the power station. Assume that is costs $3200/mi to lay cable underwater and $1600/mi to lay underground cable. At what point should the underwater cable meet the shore to minimize the cost of the project C-3200/144 + x2 + 1600(16-x) Type an expression.) The interval of interest of the objective function is [0,16] Island Cable Simplify your answer. Type your answer in interval notation.) 2 mi Power Station The cost is minimized whenxis 43 mi (Type an exact answer.) mi The minimum installation cost is $ 58,855.38 Round to the nearest cent as needed.) Score: 3 of 4 pts 6 of 6 (6 complete) HW Score: 94.74%, 18 of 19 pts 2 4.4.37 Question Help * Write an equation for the total cost, C, as a function of x, where x is the distance from the shoreline closest to the island and the point where the cable leaves the An island is 3 mi from the nearest point on a straight shoreline; that point is 8 mi from a power station (see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that is costs $2600/mi to lay cable underwater and $1300/mi to lay underground cable. At what point should the underwater cable meet the shore to minimize the cost of the project. om the sian to the shote a2600m to ay cable undenwater anbdec shore. Type an expression.) Island Cable 3 mi Power Station 8 mi

Answer 1

The interval of interest of the objective function is [0 ,8]

3 m dc 1

2600 1 ВОд

The Cost is minimized when X is

V3mǐ 1.732mi

The minimum installation cost is

$

C = 2600( (V3)2 + 9) + 1300(8-v/3) = 39.348.33