The area of a campground is 1,400 square meters. A tent requires 8 square meters and an RV requires 30 square meters of space. The capacity of the campground is 120 spots, including both tents and RVs. If the cost to camp in a tent is $3.00 and an RV is $9.00, how many RVs should be in the campground to maximize income?

Question

anonymous · Answer

For this one we need to set up two equations, and then solve for the x. We want to start by making an equation to describe the space that the tents and RV's take up compared to how many spots there are. We know that we have 1400 square meters to deal with, so the RV's and tents cant be more than that. We also know that we only have 120 spots. So if we have x number of tents, we can only have (120-x) number of RV's.
1400 >= 8x + 30(120-x)
This equation tells us how much space we use with x number of tents and x number of RV's

The next equation is for cost. We know that each tent is $3.00, and each RV is $9.00, so using the same value of x we have:
Revenue= 3x + 9(120-x)

Now we have 2 equations, both with x. Put them together to solve for x