A fence must be built to enclose a rectangular area of 5000 ft2. Fencing material costs $1 per foot for the two sides facing north and south and $2 per foot for the other two sides. Find the cost of the least expensive fence. The cost of the least expensive fence is .

The cost of the least expensive fence is $400

Step-by-step explanation:

Let the side of the area facing north and south = x

Let the side of the area facing west and east = y.

Perimeter, P(x,y)=2(x+y)=2x+2y

Fencing material costs $1 per foot for the two sides facing north and south and $2 per foot for the other two sides.

Therefore, Cost of Fencing=($1 X 2x)+($2 X 2y)=

C(x,y)=2x+4y

We can write the cost function as a function of one variable by substituting for y.

Recall: xy=5000

Therefore:

To determine the cost of the least expensive, we minimize C(x) by taking its derivative and solving for its critical points.

Therefore, the cost of the least expensive fence will be:

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00