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Harrizon [31]
2 years ago
14

Consider the following demand schedule: Price Quantity Demanded $25 20 $20 40 $15 60 $10 80 What is the price elasticity of dema

nd between (using the arc formula) a) Price $25-$20 a) Price $20-$15 a) Price $15-$10
Business
1 answer:
mojhsa [17]2 years ago
3 0

Answer:

3.05

1.38

0.725

Explanation:

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Arc elasticity of demand = midpoint change in quantity demanded / midpoint change in price  

Midpoint change in quantity demanded = change in quantity demanded / average of both demands

Price $25-$20

change in quantity demanded  = 40 - 20 = 20

average of both demands = (40 + 20) /2 = 30

Midpoint change in quantity demanded = 20/30 = 0.67

midpoint change in price = change in price / average of both price

change in price = $25 - $20 = $5

average of both price = ($25 + $20) / 2 = 22.5

Price $20-$15

change in quantity demanded  = 60 - 40 = 20

average of both demands = (60 + 40) /2 = 50

Midpoint change in quantity demanded = 20/50 = 0.4

midpoint change in price = change in price / average of both price

change in price = $20 - $15 = $5

average of both price = ($15 + $20) / 2 = 17.5

midpoint change in price = 5 / 17.5 = 0.29

0.4/0.29 = 1.38

Price elasticity of demand = 0.67 / 0.22 = 3.05

change in quantity demanded  = 80 - 60 = 20

average of both demands = (80 + 60) /2 = 70

Midpoint change in quantity demanded = 20/70 = 0.29

midpoint change in price = change in price / average of both price

change in price = $15 - $10 = $5

average of both price = ($15 + $10) / 2 = 12.5

5/12.5 = 0.4

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Answer:

1. Cash budget from April to June are

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May $11,820

June $13,420

2a. $10,850 minimum cash inflow from sales is required in May.

But the Business made an inflow of $11,820.

This is sufficient to cover its expense and leave the minimum balance of $250.

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2b.I. Health Mart as a result of the 10% sales slump in May will require $40 loan to finance its cashflow

2b.ii. Health Mart will not be required to borrow to fund its cashflow requirement of $11,400 in May (5% expenditure increase) because it has sufficient inflow from revenue to cover it

3. The cash budget is a key requirement of the Financial Director of any business:

a. It guides the Business Investment decision (what to do with excess liquidity)

b. It guides the Business Finance decision (whether to Fund its working Capital through additional capital injection or Loans if the Cash Budget shows long period of cash drought, if the offload Assets or restructure the Business etc)

c. It serves as a guide in deciding its credit policy or approving additional credit days to its customers or seeking more Payable days from its Suppliers.

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1.

Cash Budget from April to June

April

*Oxygen sales - $8,000 - Credit Card (97%) + Cash (3%) received before end of day

Cash inflow = $8,000

*Service cash inflow - $4,200 - Credit Sales received this month (60%) + $4,000 credit sales received from last month sales (40%)

Cash inflow = $2,520 + $1,600 = $4,120

Total inflow = $12,120

May

*Oxygen sales - $7,500 - Credit Card (97%) + Cash (3%) received before end of day

Cash inflow = $7,500

*Service cash inflow - $4,400 - Credit Sales received this month (60%) + $4,200 credit sales received from last month sales (40%)

Cash inflow = $2,640 + $1,680 = $4,320

Total inflow = $11,820

June

*Oxygen sales - $9,000 - Credit Card (97%) + Cash (3%) received before end of day

Cash inflow = $9,000

*Service cash inflow - $4,600 - Credit Sales received this month (60%) + $4,400 credit sales received from last month sales (40%)

Cash inflow = $2,760 + $1,760 = $4,420

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2a.

Expected expenditure = $11,000

Deduct: Opening cash Balance = $400

Add: Cash Balance projection = $250

= Minimum Cash inflow from Revenue in May 2018 = $10,850

Actual Cash inflow in May = $11,820

2b.i.

May (adjusted inflow)

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Cash inflow = $6,750

*Service cash inflow - $3,960 - Credit Sales received this month (60%) + $4,200 credit sales received from last month sales (40%)

Cash inflow = $2,376 + $1,680 = $4,056

Adjusted Cash inflow = $10,806

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Expected expenditure = $11,000

Deduct: Opening cash Balance = $400

Add: Cash Balance projection = $250

= Minimum Cash inflow from Revenue in May 2018 = $10,850

Actual Cash inflow in May (adjusted inflow) = $10,806

2b.ii.

Expected expenditure = $11,550

Deduct: Opening cash Balance = $400

Add: Cash Balance projection = $250

= Minimum Cash inflow from Revenue in May 2018 = $11,400

Actual Cash inflow in May = $11,820

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