Acollege is planning to construct a rectangular parking lot on land bordered on one side by a highway. the plan is to use 680 feet of fencing to fence off the other three sides. what dimensions should the lot have if the enclosed area is to be a maximum?

The maximum length is 170 feet and maximum width is 340 feet.

Step-by-step explanation:

Let the length of the parking = x feet and width = y feet.

Since, the fencing is to be applied on three sides of the lot.

So,we get,

i.e.

Since, the area of the rectangular lot = Length × Width

So, area of the lot =

i.e. area of the lot =

i.e. area of the lot =

Now, we know the maximum value of 'x' in is .

So, the maximum length of the lot is x= = = 170 feet.

Then, i,plies implies i.e. y= 340 feet.

So, the maximum length is 170 feet and maximum width is 340 feet.

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get