Reference no: EM131223596
A 16,000 litre rainwater tank is to be built in the shape of a cylinder. It must be at most 3 metres tall, and have radius at most 2 metres. Its base costs 30 dollars per square metre, and the sides and top cost 20 per square metre. What are the cheapest and most expensive shapes that satisfy these conditions?
a) Give the total cost as a function of the height H and radius R.Use units of metres for both H and R.Note that it is case sensitive - you must use exactly the variable names given in the question?
b) Give an equation that connects the height H and radius R.Your answer must be an equation including "=". Remember to use consistent units?
c) Write the cost as a function just of R?
d) For which value of R does this cost function have a local minimum? Enter in metres, accurate within a centimetre?
e) What is the smallest allowed radius R,that keeps the height within bounds? Answer as a decimal in metres, accurate within a centimetre?
f) What is the largest allowed radius R?
g) Enter the cheapest cost, accurate to within a dollar?
|
What are stocks and bonds
: Describe how you could estimate their values. If you are investing in the stock market, which would you invest in and why?
|
|
What role does culture play in shaping a global organization
: What role does culture play in shaping a global organization? How do leaders build effective cultures? How do values and shared vision and beliefs help drive culture and performance?
|
|
Do you consider the product to be a success or failure
: Do you consider the product to be a success or failure from the BoS perspective, from UBSWarburg's perspective, and why?
|
|
How would a slow economy impact henry company
: Henry Dubois' desire to become a better golfer was the catalyst for the creation of the Align-Drive. What was the role of sagacity? Discuss the role of sagacity. How did self initiated activity play a role in the development of Align-Drive? How woul..
|
|
Give the total cost as a function of the height
: Give the total cost as a function of the height H and radius R.Use units of metres for both H and R.Note that it is case sensitive - you must use exactly the variable names given in the question?
|
|
What is net cash inflow or resulting from this investment
: Inglewood Inc. would like to purchase a specialized production machine for $3,500,000. The machine is expected to have a life of 3 years, and a salvage value of $200,000. Annual maintenance costs will total $200,000. Annual material savings are predi..
|
|
How many days of sales are in receivables at year end
: What is the cash flow from assets for 2015? - How many days of sales are in receivables at year-end?- What is the equity multiplier?
|
|
What is the annual after-tax cash flow associated
: Lanyard company is considering an investment that will generate $600,000 in cash inflows per year for 7 years and has $240,000 of cash outflows for the same period(before income taxes). The cost of the asset is $700,000 and it will be depreciated usi..
|
|
Maximum and minimum values
: Which other x-values can give the maximum and minimum values of f(x)? List them in increasing order in the format in the format (x1,x2,...,xn), for example (1,2,3)?
|