Is my answer right? If not can you help me please.

Olivia is using the Quantitative Reasoning Process to make a decision about building a vinyl dog fence around her backyard. The fencing company charges by the foot for the fencing materials and charges by the hour to install the fence. They also charge a separate fee for each gate included in the fence. Using the information and costs provided by the fencing company, Olivia created the following function for the total cost of the fence: f(L,t, g) = 17.71L + 161' + 200g where L is the length of the fence (in feet}, t is the time it takes to build the fence (in hours), and g is the number of gates. If Olivia wants her fence to be 185 feet long with 3 gates, and the fencing company estimates it will take 31 hours to build, what is the estimated total cost of the fence? (Round your answer to the nearest cent) 5 4372.35