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goldenfox [79]
3 years ago
6

In order to find the future worth, F, from a present amount, P, 5 years from now at an interest rate of 6 % per year, compounded

quarterly, what interest rate must be used in the F/P factor, (F/P,i%,n), when n is 20 quarters
Business
1 answer:
Vlad [161]3 years ago
8 0

Answer:

Interest rate = 1.5%

Explanation:

Given:

Future value = F

Present value = P

Number of Year (n) = 5 year × 4 quarters = 20

Interest rate = 6 % per year = 6 / 4 = 1.5% = 0.015

Computation:

Future value = Present value(1+i)^n

F/P = (1+0.015)²⁰

F/P = 1.34685501

When n = 20 quarters

F/P = (1+i)²⁰

1.34685501 = (1+i)²⁰

i = 0.015

Interest rate = 1.5%

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3 years ago
Elizabeth Kennedy sells beauty supplies. Her annual demand for a particular skin sparkle is 17,000 units. The cost of placing an
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Answer:

The minimum cost will be "$214085".

Explanation:

D = 1700 units \\\\S =  \$ 50 \\\\H=  20%\\

i) When quantity = 1-1500,  price = $ 12.50 , and holding price is $12.50 * 20 %= $2.50.

ii) When quantity = 1501 -10,000,  price = $ 12.45 , and holding price is $12.45 * 20 %= $2.49.

iii) When quantity = 10,0001- and more,  price = $ 12.40 , and holding price is $12.40 * 20 %= $2.48.

EOQ= \sqrt{\frac{2DS}{H}} \\\\EOQ1= \sqrt{\frac{2\times 17000\times 50}{2.50}} \\\\EOQ1=824.62 \ \ \ or \ \ \ 825\\

EOQ2= \sqrt{\frac{2\times 17000\times 50}{2.49}} \\\\EOQ1=826.2T \ \ \ or \ \ \ 826\\

EOQ3= \sqrt{\frac{2\times 17000\times 50}{2.48}} \\\\EOQ3=827.93 \ \ \ or \ \ \ 828\\

know we should calculate the total cost of EOQ1 and break ever points (1501 to 10,000)units

total \ cost = odering \ cost + holding \ cost + \ Annual \ product \ cost\\\\total_c  = \frac{D}{Q} \times S +  \frac{Q}{2} \times H + (p \times D) \\\\T_c  = \frac{17000}{825} \times 50+  \frac{825}{2} \times 2.50 + (12.50 \times 17000)\\\\T_c = 1030 .30 +1031.25+212500\\\\T_c =$ 214561.55\\\\

T_c  = \frac{17000}{1501} \times 50+  \frac{1501}{2} \times 2.49 + (12.45 \times 17000)\\\\T_c = 566.28 +1868.74+211650\\\\T_c =$ 214085.02 \ \ \ or \ \ \  $ 214085\\\\

T_c  = \frac{17000}{10001} \times 50+  \frac{10001}{2} \times 2.48 + (12.40 \times 17000)\\\\T_c = 84.99+ 12401.24+210800\\\\T_c =$ 223286.23 \\

The total cost is less then 15001. So, optimal order quantity is 1501, that's why cost is = $214085.

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3 years ago
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podryga [215]

According to this graph, at $10 the quantity supplied is about 14.

As the price of the good rises, the quantity supplied will be increasing.

In the graph, as the price of the good is rising the quantity supplied is also rising, When the price is $10.00 then the quantity supplied is 14 when the price is $15.00 then the quantity supplied is 24 and when the price is $17.50 the quantity supplied is 30.

The volume of a resource, service, or item that people are prepared and able to sell during a certain time period at a given price. If a good's price increases, more of that good is supplied, all other things being equal. When a product's price declines, less of that product is produced.

Two fundamental economic theories are combined in the law of supply and demand to explain how changes in the price of a resource, good, or service impact its supply and demand. Supply grows as the price rises, but demand drops. In contrast, as the price falls, supply is constrained and demand is increased.

The law of supply is a microeconomic principle that asserts, with all other things being equal, that if the cost of an item or service rises, suppliers will offer more of those goods or services and vice versa.

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