Minimum cost. From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical rectangular lots by putting a fence down the middle. Suppose that the fence for the outside boundary costs $7 per foot and the fence for the middle costs $4 per foot. If each lot contains 5000 square feet, find the dimensions of each lot that yield the minimum cost for the fence.
?
A. Dimensions are 51.59 ft for the side parallel to the divider and 96.92 ft for the other side.
B. Dimensions are 96.92 ft for the side parallel to the divider and 51.59 ft for the other side.
C. Dimensions are 70.71 ft for the side parallel to the divider and 70.71 ft for the other side.
D. Dimensions are 88.19 ft for the side parallel to the divider and 56.7 ft for the other side.
E. Dimensions are 56.7 ft for the side parallel to the divider and 88.19 ft for the other side.
Answer: D
You might also like to view...
Use the square root property to find all real or imaginary solutions to the equation.x2 = 196
A. {±14} B. {14} C. {98} D. {±15}
Graph the function by starting with the graph of 
and using transformations.f(x) = (x - 5)2 
A. 
B. 
C. 
D. 
Use the method of natural frequencies to find the indicated probability.In one town, 10% of 18-29 year olds own a home, as do 35% of 30-50 year olds and 65% of those over 50. According to a recent census taken in the town, 27.3% of adults in the town are 18-29 years old, 36.8% are 30-50 years old, and 35.9% are over 50. If an adult is selected at random from the town and found to be a home-owner, what is the probability that they are aged between 30 and 50?
A. 0.331 B. 0.368 C. 0.129 D. 0.35
Solve the problem.How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to the function A(t) = 700e-0.192t, where t is the time in years? Round to the nearest hundredth year.
A. 34.12 years B. 3.61 years C. 37.73 years D. 134.40 years