Question

In: Math

You are looking to spruce up your garden by making a rectangular enclosure using a wall...

You are looking to spruce up your garden by making a rectangular enclosure using a wall as one side and 160 meters of fencing for the other three sides. You want to find the dimensions of the rectangle so that you are maximizing the enclosed area.

  1. (a) Draw and label a picture representing the problem.

  2. (b) Write the objective function and the constraint. (You do not need to label which equation is which.)

(c) Write the area equation in terms of one variable.

  1. (d) Find the dimensions that give the greatest area.

  2. (e) What is the greatest area that can be enclosed?

Solutions

Expert Solution

milcah answered 2 years ago
Next > < Previous

Related Solutions

You are looking to spruce up your garden by making a rectangular enclosure using a wall...
You are looking to spruce up your garden by making a rectangular enclosure using a wall as one side and 160 meters of fencing for the other three sides. You want to find the dimensions of the rectangle so that you are maximizing the enclosed area. (a) Draw and label a picture representing the problem. (b) Write the objective function and the constraint. (You do not need to label which equation is which.) (c) Write the area equation in terms...
A farmer decides to enclose a rectangular​ garden, using the side of a barn as one...
A farmer decides to enclose a rectangular​ garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 60 ft of​ fence? What should the dimensions of the garden be to give this​ area? The maximum area that the farmer can enclose with 60ft is _____ sq feet The larger dimension of the garden to give this area is ______ and the smaller dimension is _____
Your patient is hallucinating telling you that they see spiders crawling up the wall, how would...
Your patient is hallucinating telling you that they see spiders crawling up the wall, how would you respond when they ask if you see them too?
Come up with a brief human resources plan for your chosen business. Who are you looking...
Come up with a brief human resources plan for your chosen business. Who are you looking to recruit, what knowledge/skills/abilities should they have and where will you likely find them? What channels will you use to attract these employees? How will you retain them? As always, be sure to cite.
You are making a box by removing the corners from an 16cm by 10cm rectangular box....
You are making a box by removing the corners from an 16cm by 10cm rectangular box. How much do you need to remove to make a box of maximum value? Please show explanation
You want to reduce text communication with your corrupt friends in Wall Street. You suggest using...
You want to reduce text communication with your corrupt friends in Wall Street. You suggest using Huffman coding to reduce the number of bits in communication. You look over your previous 100 words of texts. You find the following words and their number of occurrence in parenthesis: SELL (12), BUY (8), MOVE (19), HIDE (42), STOP (2) and WATCH (17). This frequency is consistent over all your messages. (a) What codewords do you recommend for each word? (b) Whit these...
You have been scouring The Wall Street Journal looking for stocks that are “good values” and...
You have been scouring The Wall Street Journal looking for stocks that are “good values” and have calculated expected returns for five stocks. Assume the risk-free rate (rRF) is 6 percent and the market risk premium (rM - rRF) is 2.7 percent.  Which security would be the best investment? (Assume you must choose just one.) c. Expected Return = 5.04%, Beta = -0.4, Required Return = 4.92%, Expected Less Required Return = 0.12% a. Expected Return = 9.01%, Beta = 2,...
Looking at yesterday’s foreign exchange spot market prices in the Wall Street Journal you notice that...
Looking at yesterday’s foreign exchange spot market prices in the Wall Street Journal you notice that 1.5300 U.S. dollars is equal to 1 British pound and that 1 British pound is equal to 1.3610 European euros. Under these conditions how many U.S. dollars would you need to buy 1 euro? Please show your work so I can learn how you came up with the answer. Thank you so much.
In your garden, you have a hose with a radius of 3 cm connected to a...
In your garden, you have a hose with a radius of 3 cm connected to a sprinkler with twelve openings, each of which has a radius of 0.2 cm. The sprinkler openings are aimed 25• above the horizon, and the water travels a distance of 4 m before hitting your flowers. a) What is the exit velocity at the sprinkler openings? b) What is the flow rate of the sprinkler? c) What must the water pressure in the hose be?
You are looking to buy a home under the following conditions. The bank will finance up...
You are looking to buy a home under the following conditions. The bank will finance up to 95% LTV on a home with a FRM at 5.25% FOR 30 years (monthly payments) and that the maximum payment to income ratio is 28% and total obligations to income is 36%. What price of home should you be looking at and how much down payment will be required? Assume your annual salary is $44,000, property taxes are about $1,800/year, hazard insurance is...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT