(Solved): property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The fencing ...

property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The fencing next to the road must be sturdier and costs $\$5$ per foot, but the her fencing costs just $\$3$ per foot. The garden is to have an area of $1200{\mathrm{ft}}^2$. (a) Find a function that models the cost $c$ of fencing the garden in terms of its length $x_1$ $c(x)=$ (b) Fird the garden dimensions that minimize the cost of fencing. iength $\times \mathrm{r}$ widu $x$ tt (c) If the owner has at most $\$500$ to spend on fencing, find the range of lengths he can fence along thet roed. (Enfer veur answer ising intarval notation.)