Question

In: Math

A farmer, well versed in traditional optimization problems, has decided to buy a rectangular plot of...

A farmer, well versed in traditional optimization problems, has decided to buy a rectangular plot of 200 square meters of land on the bank of a river, and surround it on three sides by a fence. The side facing the river, will, of course, remain unfenced.

What are the dimensions of the plot of land that can be surrounded by the minimum possible fencing?

Solutions

Expert Solution


Related Solutions

A farmer wants to fence in a rectangular plot of land adjacent to the north wall...
A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. If the fencing costs $16 per linear foot to install and the farmer is not willing to spend more than $4000, find the dimensions for the plot that...
A farmer has just cleared a new field for corn. It is a unique plot of...
A farmer has just cleared a new field for corn. It is a unique plot of land in that a river runs along one side. The corn looks good in some areas of the field but not others. The farmer is not sure that harvesting the field is worth the expense. He has decided to harvest 10 plots and use this information to estimate the total yield. Based on this estimate, he will decide whether to harvest the remaining plots.
A farmer has 1,700 feet of fence and wishes to build two identical rectangular enclosures, as...
A farmer has 1,700 feet of fence and wishes to build two identical rectangular enclosures, as in the following figure. What should be the dimensions of each enclosure if the total area is to be a maximum? What is the area of each enclosure?Answer with an exact fraction or round to the nearest whole number. Each enclosure will have width (shortest side) of  feet, length (longest side) of  feet and area of  square feet.
You’ve decided to take up business as a kale farmer; however, a disease has all but...
You’ve decided to take up business as a kale farmer; however, a disease has all but decimated the kale industry. You have a gene that can save the kale industry, make it resistant to this disease, but need to get it into the kale genome. Explain how you would insert a transgene into kale to provide it resistance against this disease.
A farmer has decided to use a new additive to grow his crops. He divided his...
A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The before (first row) and after (second row) results from the 10 different plots are shown below. Corn Yield Before 9 9 8 7 6 8 5 9 10 11 After 10 9 9 8 7 10 6 10 10 12 You wish to test...
The Decision to Lease or Buy at Warf Computers Warf Computers has decided to proceed with...
The Decision to Lease or Buy at Warf Computers Warf Computers has decided to proceed with the manufacture and distribution of the virtual keyboard (VK) the company has developed. To undertake this venture, the company needs to obtain equipment for the production of the microphone for the keyboard. Because of the required sensitivity of the microphone and its small size, the company needs specialized equipment for production. Nick Warf, the company president, has found a vendor for the equipment. Clapton...
Sauer Food Company has decided to buy a new computer system with an expected life of...
Sauer Food Company has decided to buy a new computer system with an expected life of three years. The cost is $380,000. The company can borrow $380,000 for three years at 12 percent annual interest or for one year at 10 percent annual interest. Assume interest is paid in full at the end of each year. a. How much would Sauer Food Company save in interest over the three-year life of the computer system if the one-year loan is utilized...
Emma has not yet decided whether she wants to rent or buy a property here in...
Emma has not yet decided whether she wants to rent or buy a property here in Oxford and she is asking your team to help her make this financial decision. Her monthly budget is $1,500 to cover any housing expenses including rent or owners’ costs (example: mortgage, hazard insurance, property taxes, and Home Owner Association fees). A good start of the analysis is by applying financial concepts such as the “time value of money.” Emma’s contract is for three years...
Make-or-Buy, Traditional and ABC Analysis Brees, Inc., a manufacturer of golf carts, has just received an...
Make-or-Buy, Traditional and ABC Analysis Brees, Inc., a manufacturer of golf carts, has just received an offer from a supplier to provide 2,600 units of a component used in its main product. The component is a track assembly that is currently produced internally. The supplier has offered to sell the track assembly for $72 per unit. Brees is currently using a traditional, unit-based costing system that assigns overhead to jobs on the basis of direct labor hours. The estimated traditional...
Make-or-Buy, Traditional and ABC Analysis Brees, Inc., a manufacturer of golf carts, has just received an...
Make-or-Buy, Traditional and ABC Analysis Brees, Inc., a manufacturer of golf carts, has just received an offer from a supplier to provide 2,600 units of a component used in its main product. The component is a track assembly that is currently produced internally. The supplier has offered to sell the track assembly for $66 per unit. Brees is currently using a traditional, unit-based costing system that assigns overhead to jobs on the basis of direct labor hours. The estimated traditional...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT