Answer:
Value of x maximising profit : x = 5
Explanation:
Cost : C(x) = x^3 - 6x^2 + 13x + 15 ; Revenue: R(x) = 28x
Profit : Revenue - Cost = R(x) - C(x)
28x - [x^3 - 6x^2 + 13x + 15] = 28x - x^3 + 6x^2 - 13x - 15
= - x^3 + 6x^2 + 15x - 15
To find value of 'x' that maximises total profit , we differentiate total profit function with respect to x & find that x value.
dTP/dx = - 3x^2 + 12x + 15 = 0 ► 3x^2 - 12x - 15 = 0
3x^2 + 3x - 15x - 15 = 0 ► 3x (x +1) - 15 (x + 1) = 0 ► (x+1) (3x-15) = 0
x + 1 = 0 ∴ x = -1 [Rejected, production quantity cant be negative] ;
3x - 15 = 0 ∴ 3x = 15 ∴ x = 15/3 = 5
Double derivate : d^2TP/dx^2 = - 6x + 12
d^2TP/dx^2 i.e - 6x + 12 at x = 5 is -6(5) + 12 = - 30+ 12 = -8 which is negative. So profit function is maximum at x = 5
Answer:
Export
true
Explanation:
Because the price of meekers in meekertown is lower than the world price for meekers, meekers from meekertown are cheaper. so if free trade is allowed, other countries would want to purchase meekers from meekertown because it is cheaper.
So, meekertown would export meekers if free trade is allowed.
When a country is too small affect the world price, allowing for free trade will always increase total surplus in that country, regardless of whether it imports or exports as a result of international trade.
this is so because if the country is efficient in production of a good (producing at a lower price when compared to the world price), export of the good would increase thus increasing producer surplus. if on the other hand, the country is inefficient in producing a good and the country allows for free trade, the country can import the good. this would increase consumer surplus.
Answer:
Dividends - <em>Statement of Changes in Retained Earning</em>
Dividends are payments to shareholders from a company's net income. They are derived from the Statement of Changes in Retained Earning because this is where Net Income is sent to. After they are deducted from Retained Earnings, the Earnings form part of Equity.
Differed Revenue - <em>Balance Sheet</em>
Differed Revenue refers to money that was received from a customer or client for goods and/or services that have not yet been delivered. The business will treat them as a liability until they are delivered so they will go under Current Liabilities in the Balance Sheet assuming they are to be fulfilled in 12 months or less which is usually the case.
Service Revenue - <em>Income Statement</em>
These are revenue that the business earns for providing a service when their main source of revenue is by selling goods. It is listed in the Income Statement just after Revenue and is added to Revenue to get Total Revenue.
Answer:
(B) Operating income has increased as a percentage of revenue
Explanation:
Conducting a vertical analysis,
Operating income (year 1) = Fees earned, less operating expenses
= 149,700 - 127,245 = $22,455
Therefore operating income as a percentage of revenue = 22,455/149,700 = 15%.
Operating income (year 2) = 153,500 - 122,800 = $30,700
Therefore operating income as a percentage of revenue = 30,700/153,500 = 20%.
Therefore, operating income as a percentage of revenue increased from year 1 to year 2.
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