Answer, 4
Explanation: I got it right in odyssey ware
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:
The total capacity of the market in core products less the Digby's Deft is 10860 thousand units.
Explanation:
In order to completely answer the question, the complete question is found online. This question was missing some table attachments which are attached with it.
From the table, it is first noted that the core products are listed which are as below:
- Axe
- Bolt
- Buzz
- Deft
- Dim
Now as mentioned in the question, deft is to be ignored so the remaining options are:
- Axe
- Bolt
- Buzz
- Dim
Now the capacities of these are included which are found from the table and are as follow:
Axe=2050
Bolt=1040
Buzz=1040
Dim=1300
So the total capacity of 1 shift is
Axe+Bolt+Buzz+Dim=2050+1040+1040+1300=5430 units
As there are two shifts running so the total capacity is 5430x2=10860
So the total capacity of market in core products less the Digby's Deft is 10860 thousand units.
The federal government has accounted for between two-thirds and three-quarters of all government spending since World War II. Since the end of the Korean War in the early 1950s, the federal government's purchases of goods and services as a percentage of GDP have been falling.
Automatic increases and decreases in government expenditure and taxation that follow the economic cycle. The majority of government spending in the United States took place at the state and municipal levels up to the Great Depression of the 1930s.
The federal government has accounted for between two-thirds and three-quarters of all government spending since World War II. Federal Expenditures and Purchases as a Percentage of GDP, 1950–2008.
To learn more about federal government, click here
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The tax laibility as calculated is $1036.
<u>Explanation:</u>
a.) Carson earnings $14000
Less: the Standard deduction $12000
Taxable income $2000
Tax liability $200
b.) Carson earnings $14000
Qualified dividend income $5000
Gross income $19000
less: Standard deduction $12000
Taxable income $7000
Taxable income taxed at carson rate $2000
($7000 minus $5000)
Ordinary Tax $200
Kiddie Tax is calculated as follows:
Gross unearned income
unearned income $5000
Kiddie tax up to 2600 $260
Kiddie tax for over and above 2600 $576
$836
Total tax liability ($200 plus $836) $1036
