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:
Bonds are a far more important source of financing than are stocks
Explanation:
There is so much of risk associated with the issue of stock. Though it is essential for any business to issue some stock, but bonds are always favorable as they have a defined maturity, defined amount associated, and defined interest payment.
There is no direct payment of interest in bonds but the expense is to be recorded in books as per the matching and accrual principle.
The discounted value of interest to be paid on maturity is recorded.
Further, there is a tax benefit on bond payments.
Answer:
jul-01 Prepaid expenses 13.620
jul-01 Cash 13.620
dec-31 Insurance policy expense 2.270
dec-31 Prepaid expenses 2.270
Explanation:
Paid 1-jul 13620
Three Years 13.620 36 months
Monthly 378 month
Current Year 2.270 6 months
jul-01 Prepaid expenses 13.620
jul-01 Cash 13.620
dec-31 Insurance policy expense 2.270
dec-31 Prepaid expenses 2.270
If you mean like anY kind of example of flame, a lighter flame is a good example.
Anything that uses gas to emit a flame
Answer:
The correct answer is d. Different economic models employ different sets of assumptions.
Explanation:
To approach the study of economic reality it is necessary, in some way, to simplify it; keep certain variables under control. Precisely for this, it is that economic models are built.
Economic models are built on principles of departure, called "assumptions." Such assumptions fulfill the same role as the postulates in geometry. That is:
- They are not subject to deduction from other more basic principles.
- They are "reasonably" true but not necessarily verifiable.
- They function as premises in the logical structure to deduce the conclusions and correlations found in the lowest levels of generality.
We can say then, that the theoretical explanations refer to invisible "relationships", whose existence is proposed by the theory, and whose implications are logically deduced, and then corroborated by observations. They consist of:
- Assumptions (eg subjects want to maximize their earnings).
- Relevant variables (eg price and quantity).
- Binding hypothesis (eg quantity demanded based on price).
- Conclusions or predictions of observable facts (eg prices will rise).