The __________ of economics are the generally accepted theories about resource allocation.

Joe Keho and Mike McLain share income on a 6:4 basis. They have capital balances of $90,000 and $70,000, respectively, when Lind

lions [1.4K]

Answer:

A.

Joe’s Capital (existing partner) = $90,000

Mike’s Capital (existing partner) = $70,000

Profit-sharing ratio = 6:4

Admission of Linda (new partner) with bonus to existing partners:

$100,000 cash contributed for 25% share

So, implied value of partnership firm after admission = $100,000 / 25% = $400,000

However, actual value of partnership firm after admission will be = $90,000 + $70,000 + $100,000 = $260,000

Linda’s Capital in new partnership = 25% * $260,000 = $65,000

However, Linda is contributing $100,000

So, bonus accruing to existing partners = $100,000 - $65,000 = $35,000

Bonus to be split in profit sharing ratio

Bonus accruing to Joe = $35,000 * 6/10 = $21,000

Bonus accruing to Mike = $35,000 * 4/10 = $14,000

Joe'sCapital

$21,000

Mike'sCapital

$14,000

Lindia's Capital

$65,000

b. Admission of Linda (new partner) with bonus to the new partner:

$36,000 cash contributed for 25% share

So, implied value of partnership firm after admission = $36,000 / 25% = $144,000

However, actual value of partnership firm after admission will be = $90,000 + $70,000 + $36,000 = $196,000

Linda’s Capital in new partnership = $196,000 * 25% = $49,000

However, contribution by Linda= $36,000

So, bonus accruing to Linda = $49,000 - $36,000 = $13,000

Joe’s share in bonus to Linda = $13,000 * 6/10 = $7,800

Mike’s share = $13,000 * 4/10 = $5,200

Joe'sCapital

$7,800

Mike'sCapital

$5,200

Lindia's Capital

$49,000

6 0

3 years ago

Monica, a doctor, owns a small health care clinic that serves underserved people in a lower-income neighborhood. What type of

kogti [31]

Answer:

b

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7 0

3 years ago

Suppose that a company needs new equipment, and that the machinery in question earns the company revenue at a continuous rate of

julia-pushkina [17]

Answer:

a-The present value of revenue in the first year is $61,085.92.

b-The total time it would take to pay for its price is 2.44 years of 29.33 months.

Explanation:

a-

Let the function of the revenue earned is given as

$S(t)=\left \{ {{66000t+38000} {\ \ 0The present value is given as [tex]PV=\int\limits^a_b {S(t)e^{-rt}} \, dt$

Here

a and b are the limits of integral which are 0 and 1 respectively
r is the rate of interest which is 5% or 0.05

S(t) is the function of value which is $S(t)=\left \{ {{66000t+38000} {\ \ 0So the equation becomes[tex]PV=\int\limits^0_1 {S(t)e^{-0.05t}} \, dt\\PV=\int\limits^{0.5}_0 {(66000t+38000)e^{-0.05t}} \, dt+\int\limits^{1}_{0.5}{(71000)e^{-0.05t}} \, dt\\PV=\int\limits^{0.5}_0 {(66000t)e^{-0.05t}} \, dt+\int\limits^{0.5}_0 {(38000)e^{-0.05t}} \, dt+\int\limits^{1}_{0.5}{(71000)e^{-0.05t}} \, dt\\PV=8113.7805+18764.4669+34207.6751\\PV=61085.9225$
So the present value of revenue in the first year is $61,085.92.
b-
The time in which the machine pays for itself is given as
$PV=\int\limits^0_1 {S(t)e^{-0.05t}} \, dt+\int\limits^t_1 {S(t)e^{-0.05t}} \, dt\\PV=61085.9225+\int\limits^{t}_{1}{(71000)e^{-0.05t}} \, dt$
The present value is set equal to the value of machine which is given as
$160,000 so the equation becomes:
$PV=61085.9225+\int\limits^{t}_{0}{(71000)e^{-0.05t}} \, dt\\160000=61085.9225+\int\limits^{t}_{0}{(71000)e^{-0.05t}} \, dt\\\int\limits^{t}_{0}{(71000)e^{-0.05t}} \, dt=160000-61085.9225\\\int\limits^{t}_{1}{(71000)e^{-0.05t}} \, dt=98914.07\\\\t=-\dfrac{\ln \left(0.93034\right)}{0.05}\\t=1.44496$
So the total time it would take to pay for its price is 2.44 years of 29.33 months.

6 0

3 years ago

Problem 9-18 Comprehensive Variance Analysis [LO9-4, LO9-5, LO9-6]

Thepotemich [5.8K]

Answer:

1 a. Materials price and quantity variances.

Material price variance = (Actual price - Standard price) * Actual Quantity purchased

= ($2.45 - $2) * 15,800

= $0.45 * 15,800

= $7110 (Unfavorable)

Materials Quantity variance = (Actual Quantity used - Standard Quantity allowed) * Standard price

(10600 - 3000 * 3.6) * $2

= (10,600 - 10,800) * $2

= 200 * $2

= 400 (Favorable)

b. Labor rate and efficiency variances.

Labor rate variance = (Actual rate - standard rate) * Actual hours

= (6.30 - 6.6) * 2,100

= 0.3 * 2,100

= 630 (Favorable)

Labor Efficiency variance = (Actual hours - standard hours allowed) * Standard rate

= (2100 - 3000 * 0.5) * 6.6

= (2,100 - 1,500) * 6.6

= 600 * 6.6

= 3960 (Unfavorable)

c. Variable overhead rate and efficiency variances

Variable overhead rate variance = (Actual rate - Standard rate * Actual machine hours)

= 3000 - (2.10 * 1200)

= 3,000 - 2,520

= 480 Unfavorable

Variable overhead Efficiency variance = (Actual hours - standard hours allowed)* Standard rate

= (1200 - 3000 * 0.3) * 2.10

= (1200 - 900) * 2.10

= 300 * 2.10

= 630 (Unfavorable)

2. Variances Amount

Material price variance 7,110 U

Material quantity variance 400 F

Labor rate variance 630 F

Labor efficiency variance 3,960 U

Variable overhead rate variance 480 U

Variable overhead efficiency variance 630 U

Net variance 11,150 U

The net variance of all the variance of the month is 11,150 (Unfavorable)

3 0

3 years ago

Crawford Fishing had a net income of $35,640 in 2017. They decided to pay $3,000 in dividends and keep the rest to help expand t

CaHeK987 [17]

Answer:

The profit that they keep to reinvest in the business is recorded as D : retained earnings.

Explanation:

Retained earnings (RE) is the amount of net income left over for the business after it has paid out dividends to its shareholders.

4 0

3 years ago