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fiasKO [112]
3 years ago
6

A founder owns 100% of a company and there are no options outstanding and no option pool for options to be granted later. An inv

estor agrees to acquire a 30% interest in the company, and also requires the creation of a 20% option pool. If the option pool is pre-money, what will be the resulting share of the company held by the founder?
Business
1 answer:
zloy xaker [14]3 years ago
8 0

Answer:

Share of founder in the company will be 50 %

Explanation:

We have given Initial ownership pattern

Founder owns 100 % of the company

A new investor wants 30% and also  option pool of 20% is also required

Now if the option pool is pre-money, then the option pool is created without impacting the desired investor ownership%;

Investor=30%

Option pool=20%

So founder = 100-30-20 = 50 %

So the share of founder in the company will be 50 %

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If the supply function for a commodity is p = q2 + 6q + 16 and the demand function is p = −7q2 + 2q + 436, find the equilibrium
adell [148]

Answer:

equilibrium quantity = 7

equilibrium price = 107

Explanation:

Data provided in the question:

supply function, p = q² + 6q + 16  ........(1)

demand function is p = −7q² + 2q + 436

Now at equilibrium

Demand = Supply

Thus,

q² + 6q + 16 = −7q² + 2q + 436

or

q² + 6q + 16 + 7q² - 2q - 436 = 0

or

8q² + 4q - 420 = 0

or

2q² + q - 105 = 0

on solving for the roots of q

using the Quadratic Formula where

a = 2, b = 1, and c = -105

[ x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }]

a = 2, b = 1, and c = -105

Thus,

[ q = \frac{ -1 \pm \sqrt{1^2 - 4(2)(-105)}}{ 2(2) }]

[ q = \frac{ -1 \pm \sqrt{1 - -840}}{ 4 }]

[ q = \frac{ -1 \pm \sqrt{841}}{ 4 }]

The discriminant ( b² - 4ac > 0)

so, there are two real roots.

Therefore,

q = [\frac{ -1 \pm 29}{ 4 }]

[ q = \frac{ 28 }{ 4 } \; \; \; q = -\frac{ 30 }{ 4 }]

[ q = 7 \; \; \; q = -\frac{ 15}{ 2 }]

since,

Quantity cannot be negative

Thus,

q = 7

therefore, substituting q in (1)

p = 7² + 6(7) + 16

or

p = 49 + 42 + 16

or

p = 107

4 0
3 years ago
Wormwood, Ltd., produces a variety of furniture products. The planning committee wants to prepare an aggregate plan for the next
Brums [2.3K]

Answer:

Wormwood limited

Production plan that will yield the least cost of $49,630 is shown in the attached document.

It entails maxing out the regular capacity from period 1 to 5, and using regular to produce only 140 units in period 6

It further entails using overtime to produce 10 units from period 1 to 5. And subcontracting only in period 4 to cover the demand/production gap.

This will keep inventory of 10 units in period 2, which is carried into period 3 and consumed in period 4.

4 0
3 years ago
Walmart is opening 12 stores to test the concept of walmart express, stores that are one-tenth the size of its supercenters and
Alecsey [184]
The answer that best complete the blank provided above is the term CANNIBALIZATION. Product cannibalization happens when a new product that is being introduced by the same producer, eats up the sales of the other products that exist in the same market resulting in the decrease of the overall sales.
6 0
3 years ago
Pinkin Inc. needs to determine a price for a new phone model. Pinkin desires a 25% markup on the total cost of the phone. Pinkin
IgorLugansk [536]

Answer:

See below

Explanation:

Total costs = Product costs + Administrative costs

= ($75 × 30,000) + $85,000 - ($50 × 30,000) + $65,000 = $3,900,000

Total cost per unit =Total cost / Units expected to be sold= $3,900,000 /30,000 = $130

Markup per unit = Total cost per unit × Markup percentage = $130.00 × 25% = $32.5

4 0
3 years ago
In working on a bid for project you have determined that $245,000 of fixed assets will be required and that they will be depreci
mote1985 [20]

Answer:

Question 1:

required investment $245,000

depreciation expense per year = ($245,00 - $23,200) / 5 = $44,360

you will also require $15,000 in working capital

annual cash costs = $68,500

what is the minimum amount of cash sales for accepting the project:

net cash flow₁ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360} / 1.14 = (0.65SR - $28,999) / 1.14 = 0.5702SR - $25,437.72

net cash flow₂ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360} / 1.14² = (0.65SR - $28,999) / 1.14² = 0.5002SR - $22,313.79

net cash flow₃ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360} / 1.14³ = (0.65SR - $28,999) / 1.14³ = 0.4387SR - $19,573.50

net cash flow₄ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360} / 1.14⁴ = (0.65SR - $28,999) / 1.14⁴ = 0.3849SR - $17,169.74

net cash flow₅ = {[(sales revenue - $68,500 - $44,360) x 0.65] + $44,360 + $15,000} / 1.14⁵ = (0.65SR - $13,999) / 1.14⁵ = 0.3376SR - $7,270.64

NPV = -initial outlay + cash flows

NPV = 0

initial outlay = cash flows

$260,000 = 0.5702SR - $25,437.72 + 0.5002SR - $22,313.79 + 0.4387SR - $19,573.50 + 0.3849SR - $17,169.74 + 0.3376SR - $7,270.64

$260,000 = 2.2316SR - $91,765.39

$351,765.39 = 2.2316SR

sales revenue = $351,765.39 / 2.2316 = $157,629.23

the closest answer is B = $155,119, but its NPV will be negative.

<u>so we have to select C = $162,515.75 that results in an NPV = $10,887. </u>

Question 2:

<u>The correct answer is D. return on equity will increase.</u>

If you lower your costs while your sales remain the same, your profits will increase as well as your ROE.  

7 0
3 years ago
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