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:
B. $300,000
Explanation:
Macaw Corporation increased its E & P last year for the entire amount of the deferred gain on the installment sale. Since one-half of the $800,000 gain is included in taxable income in the current year, taxable income should be reduced by this amount to determine current E & P. Therefore, Macaw Corporation’s current year E & P is $600,000 ($1 million taxable income – $400,000 of installment sale gain). Because one-half of the current E & P is allocated to Tracy’s distribution, she has a $300,000 dividend
Answer:
When a taxpayer has an underpayment of estimated tax or fall behind on his/her tax prepayment, then he/she is required to pay a penalty on Form 2210. This penalty is called underpayment penalty.
According to the tax laws, Mr. P and Ms. S can avoid an underpayment penalty if their withholding's and estimated tax payments equal or exceed one of the following two safe harbors:
- 90 percent of current tax liability ($200,000 x 90% = $180,000)
- 110 percent of previous year tax liability (110% x $170,000 = $187,000)
From the above calculation, it is clear that Mr. P and Ms. S's withholding's ($175,000) do not equal or exceed the amount of two safe harbors. So, they need to increase their withholding's or make estimated payments to avoid underpayment penalty.
If Mr. P and Ms. S increase their withholding's by $5,000 or make estimated payments of $1,250
per quarter ($5000/4), they can avoid the underpayment penalty.
Mr. Paula and Simon average gross income is greater than $150,000, so 110% is taken.
Answer:
E. Sales, accounting, and manufacturing and production.
Explanation:
Order fulfillment first takes place in the Sales department - where the Sales team makes known to the customer the products and services available. then the human resources selects talent to help with the production and manufacturing. Accounting function helps determine the cost.
Answer:
Transaction gain = $16 million
Explanation:
Given:
Purchase amount = $52 million
December 31, 2021, bonds value = $46 million
October 3, 2022, bonds sold = $62 billion
Computation:
Using multi-step approach
Transaction gain = October 3, 2022, bonds sold - December 31, 2021, bonds value
Transaction gain = $62 million - $46 million
Transaction gain = $16 million
