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Svetach [21]
3 years ago
12

A tyre manufacturer wants to set a minimum mileage guarantee on its new MX100 tyre. Tests reveal the mean mileage is 47,900 with

a standard deviation of 2,050 miles and the distribution is a normal distribution. The manufacturer wants to set the minimum guaranteed mileage so that no more than 4% of the tyres will have to be replaced. What minimum guaranteed mileage should the manufacturer announce
Business
1 answer:
maria [59]3 years ago
6 0

Answer:

51,487.5

Explanation:

Calculation to determine the minimum guaranteed mileage should the manufacturer announce

Sinces no more than 4% of the tires will have to be replaced First step will be to determine the InvNorm(.96) using normal distribution table

InvNorm(100%-4%)

InvNorm(.96) = 1.75

Now let determine the minimum guaranteed mileage

Let x represent the Minimum guaranteed mileage

(2050*1.75)+47,900=x

x=3,587.5+47,900

x = 51,487.5

Therefore the minimum guaranteed mileage that the manufacturer should announce is 51,487

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The number of taxicabs in Motorville and the taxicab fares are regulated. The fare currently charged is Rs.500 a ride. Motorvill
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Answer:

The answer is below

Explanation:

i) The price elasticity of demand is given by the formula:

Price \ elasticity\ of \ demand=\frac{\Delta Q}{\Delta P} =\frac{\frac{Q_2-Q_1}{(Q_2+Q_1)/2} }{\frac{P_2-P_1}{(P_2+P_1)/2} } \\\\Price \ elasticity\ of \ demand=\frac{\frac{40-80}{(40+80)/2} }{\frac{600-500}{(600+500)/2} }=\frac{-2/3}{2/11} =3.667 (ignore \ the\ sign)

Since the price elasticity of demand is greater than 1 hence it is elastic

ii) Since the price elasticity of demand is elastic as a result of increase in fare, hence the total revenue would decrease.

iii)

Price \ elasticity\ of \ demand=\frac{\Delta Q}{\Delta P} =\frac{\frac{Q_2-Q_1}{(Q_2+Q_1)/2} }{\frac{P_2-P_1}{(P_2+P_1)/2} } \\\\Price \ elasticity\ of \ demand=\frac{\frac{120-80}{(120+80)/2} }{\frac{400-500}{(400+500)/2} }=\frac{0.4}{-2/9} =1.8 (ignore \ the\ sign)

Since the price elasticity of demand is greater than 1 hence it is elastic

4 0
3 years ago
Anchor Company purchased a manufacturing machine with a list price of $160,000 and received a 2% cash discount on the purchase.
Contact [7]

Answer:

$162,200

Explanation:

The computation of the cost recorded in the asset account is shown below:

= List price - cash discount + freight cost + installation charges

= $160,000 - $3,200 + $2,400 + $3,000

= $162,200

The cash discount is computed below:

= List price × cash discount percentage

= $160,000 × 2%

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5 0
3 years ago
The Diamond Outlet has current earnings per share of $1.96 and an expected earnings growth rate of 2.2 percent. The required ret
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Answer:

the current market value of this stock is $15.96

Explanation:

given

current earnings = $1.96 per share

growth rate = 2.2 percent

return on the stock = 13 percent

current book value = $12.70 per share

solution

first we get here return on equity that is

return on equity = [ current earning per share × ( 1 + growth ) ] ÷ book value per share     ....................1

return on equity = \frac{1.96 + (1+0.022)}{12.70}  

return on equity =15.77 %

and

now we get here payout ration that is

growth rate = retention ration × ROE      ....................2

put here value

2.2% = (1 - payout ratio ) × 15.77

payout ratio  = 86.05 %

and

now we get here current dividend per share that is

current dividend per share = current earning per share × payout ratio  ...........3

put here value

current dividend per share = 1.96 × 86.05 %

current dividend per share = $1.6865

and

now we get here current market value  

current market value  =  [ current dividend per share × ( 1 + growth ) ] ÷ [ required return - growth rate]     ....................1

current market value  = [Text]\frac{1.6865 \times (1+0.022)}{0.13-0.022}[text]

current market value  = \frac{1.6865 \times (1+0.022)}{0.13-0.022}

current market value = $15.96

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