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
For the Joneses, Steve is putting together a market analysis and has chosen three comparable homes. Steve should Zero Adjustment alter the joneses' proper behavior in any way.
Sensors and instruments must produce an output that is a precise, predictable, and repeatable function of their input in every measurement setting. A 0 - 10 Bar pressure transmitter, for instance, might have a 0 - 10 V output that, starting with 0 V output for a 0 Bar pressure measurement, corresponds to its 0 - 10 Bar measurement range in a linear manner. To make sure that its output is indeed 0 V for a 0 Bar input, the transmitter must be calibrated. When this isn't the case, there needs to be a way to alter, or "zero," the output. The usage of an electronic gadget.
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Private Employers.
The Right to know law discusses workers rights to know about dangerous chemicals/substances in the workplace and is overseen by OSHA ..
Answer:
$2000=Z/(1+i)^1+Z/(1+i)^2+Z/(1+i)^3
Explanation:
let Z be the annual minimum cash flow
The internal rate of approach can be used here, in other words, the rate of return at which capital outlay of $2000 is equal present values of future cash flows
In year 1, present value of cash =X/discount factor
year 1 PV=Z/(1+i)^1
year 2 PV=Z/(1+i)^2
year 3=Z/(1+i)^3
Hence,
$2000=Z/(1+i)^1+Z/(1+i)^2+Z/(1+i)^3
Solving for Z above would give the minimum annual cash flow that must be generated for the computer to worth the purchase
Assuming i, interest rate on financing is 12%=0.12
Z can be computed thus:
$2000=Z(1/(1+0.12)^1+(1/(1+0.12)^2+(1+0.12)^3)
$2000=Z*3.09497902
Z=$2000/3.09497902
Z=$646.21
Answer: reduced by $80 billion
Explanation:
An expansionary gap is when the actual output is more than the potential output. From the question, we are told that an economy is operating with output $400 billion above its natural level, and fiscal policymakers want to close this expansionary gap and that the central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out.
We are also given the marginal propensity to consume is 4/5, and told that the price level is completely fixed in the short run.
To close the expansionary gap, the government would need to reduce its spending. To solve this, we have to calculate the multiplier. This will be:
Multiplier = 1/(1 - MPC)
= 1/(1 - 4/5)
= 1/1-0.8
= 1/0.2
= 5
Therefore, the government expenditure or spending will be reduced by:
= $400 billion/5
=$80 billion
