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Liula [17]
3 years ago
8

Suppose the supply function for x units of a product at a price of p dollars is given by p=10+5ln(3x+1). How many units of this

product would be supplied when the price is $50?
Business
1 answer:
Dovator [93]3 years ago
8 0

Answer:

x = 993.32

Explanation:

Given:

p=10+5ln(3x+1) , where p = $50

50 = 10 + 5ln(3x+1)

50-10 = 5ln(3x+1)

40 = 5ln(3x+1)

40/5 = ln(3x+1)

8 = ln(3x+1)

3x + 1 = e^{8}

Using calculator e^{8} = 2,980.96

3x + 1 = 2,980.96

3x = 2,980.96 - 1

3x = 2,979.96

x = 2,979.96 / 3

x = 993.32

Therefore, 993.32 units would be supplied.

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What are the implications in formal communication to managers at a workplace
Nimfa-mama [501]

Formal communication ensures a proper channel of information flow between the superior and their corresponding subordinates. This results in a clear establishment of line of authority and workflow. Making responsibilities clear for subordinates is very efficient in this form of communication.

7 0
2 years ago
Assume that investors can borrow and lend at risk-free rate of 5%. The optimal tangent portfolio on the efficient frontier has a
gizmo_the_mogwai [7]

Answer:

B. Portfolio B with E(R)=13% and STD=18%

Explanation:

The computation is shown below;

Reward to risk ratio = (15% - 5%) ÷ 20% = 0.5

The porfolio should be in line i.e.

= 0.05 + 0.5 × standard deviation

For portfolio A

= 0.05 + 0.5 × 25

= 17.5%

For portfolio C

= 0.05 + 0.5 × 1

= 5.5%

Portfolio B, the std is 18%

So,

= 0.05 + 0.5 × 18%

= 14%

5 0
2 years ago
Willow Corp. (a C corporation) reported taxable income before the net operating loss deduction (NOL) in the amount of $100,000 i
egoroff_w [7]

Willow Corp NOL carryover to 2021 (year 4) is $10,000

<h3>How to calculate Willow Corp NOL carryover to year 4</h3>

  • Year 3 income = $100,000

Carry forward losses:

  • Year 1 = $50,000
  • Year 2 = $40,000

Total carry forward losses = $50,000 + $40,000

= $90,000

Eligible carry forward loss = $100,000 × 80%

= $100,000 × 0.8

= $80,000

Willow Corp tax liability in year 3 = $100,000 - $80,000 × 21%

= $20,000 × 21%

= 20,000 × 0.21

= $4,200

Willow Corp NOL carryover to year 4 = Total carry forward losses - Eligible carry forward loss

= $90,000 - $80,000

= $10,000

Learn more about tax:

brainly.com/question/25504231

3 0
2 years ago
Sunset Travel Agency specializes in flights between Toronto and Jamaica. It books passengers on Hamilton Air. Sunset’s fixed cos
xxTIMURxx [149]

Answer:

See the explanation below.

Explanation:

1 a. Calculate the number of tickets Sunset must sell each month to break even.

Selling price = 6% * $1,500 = $90 per ticket

Variable  cost per unit = $43 per ticket

Contribution margin per unit = $90 – $43 = $47 per ticket

Fixed cost = $23,500

Break-even tickets per month = Fixed cost / Contribution margin per unit = $23,500 / $47 =  500 tickets

1 b. Calculate the number of tickets Sunset must sell each month to make a target operating income of $10,000 per month.

Number of tickets = (Fixed cost + Targeted profit) / Contribution margin per unit = ($23,500 + $10,000) / $47 = 712.77, or 713 tickets

2 a. Calculate the number of tickets Sunset must sell each month to break even.

Selling price = 6% * $1,500 = $90 per ticket

Variable  cost per unit = $40 per ticket

Contribution margin per unit = $90 – $40 = $50 per ticket

Fixed cost = $23,500

Break-even tickets per month = Fixed cost / Contribution margin per unit = $23,500 / $50 =  470 tickets

2 b. Calculate the number of tickets Sunset must sell each month to make a target operating income of $10,000 per month.

Number of tickets = (Fixed cost + Targeted profit) / Contribution margin per unit = ($23,500 + $10,000) / $50 = 670 tickets

3 a. Calculate the number of tickets Sunset must sell each month to break even.

Selling price = $60 per ticket

Variable  cost per unit = $40 per ticket

Contribution margin per unit = $60 – $40 = $20 per ticket

Fixed cost = $23,500

Break-even tickets per month = Fixed cost / Contribution margin per unit = $23,500 / $20 =  1,175 tickets

3 b. Calculate the number of tickets Sunset must sell each month to make a target operating income of $10,000 per month.

Number of tickets = (Fixed cost + Targeted profit) / Contribution margin per unit = ($23,500 + $10,000) / $20 = 1,675 tickets

Comment:

Due a fall in commission, there are appreciable increases in the break-even point and the number tickets that have to be sold to meet a targeted operating income of $10,000.

4 a. Calculate the number of tickets Sunset must sell each month to break even.

Selling price = $60 + $5 = $65 per ticket

Variable  cost per unit = $40 per ticket

Contribution margin per unit = $65 – $40 = $25 per ticket

Fixed cost = $23,500

Break-even tickets per month = Fixed cost / Contribution margin per unit = $23,500 / $25 =  940 tickets

4 b. Calculate the number of tickets Sunset must sell each month to make a target operating income of $10,000 per month.

Number of tickets = (Fixed cost + Targeted profit) / Contribution margin per unit = ($23,500 + $10,000) / $25 = 1,340 tickets

Comment:

The $5 delivery fee brings about an increased contribution margin higher than before, which makes both the break-even point and the tickets sold to achieve operating income of $10,000 to fall.

6 0
3 years ago
One of the last items in an order of business is A. new business B. officer reports C. reading the minutes D. treasurer's report
Darya [45]
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8 0
2 years ago
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