Answer:
A.
0.833
Explanation:
m = 3
Arrival rate, ra = 45 per hour
Service rate, re = 18 per hour per lane
Utilization factor = ra/(m.re)
= 45/(3*18)
= 0.833
Therefore, The utilization factor of the system is 0.833
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:
Dr Cash $3,100,000
Cr Bonds payable $3,100,000
Explanation:
Since the bonds were issued at face value of $1000 each,the cash proceeds received from the entire issue of 3,100 bonds can be computed thus:
Cash proceeds=$1000*3,100=$3,100,000
The cash proceeds imply that cash inflows have increased by $3,100,000, as a result cash account should be debited with $3,100,00o while the same amount is credited to bonds payable since an increase in debt obligation should be a credit entry.
Answer: Restructuring cost
Explanation:
Restructuring cost could be described as making expenses on rejuvenating or reviving or rebranding the company through spendings, which affects most of it's mode of operations, brings a change and innovation and ways to improve existing methods. This is capital intensive due to the work and changes required during the process.
Answer:
The ending balance in the Allowance for Bad Debts is 20,500 CREDIT
Explanation:
The ending balance of Allowance for bad debts would be the 2.5% of sales
The adjustment is made to get the allowance for Bad Debt match the estimate uncollectible ammounts.
Notice it state <em>"company adjusted for bad debt expense"</em>
This means<u> it debit this account as much as it needed to be</u> to make allowance match the estimate allowance.
The write-off are transaction durign the period. They are irrelevant
So the ending balance is:
<em>2.5% of credit sales of 820,000 = $20,500</em>
It is important to remember that <u>Allowance is a counter-asset account</u>. His <em>normal balance is credit</em>, so the<u> final balance is credit.</u>