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salantis [7]
3 years ago
13

A common bracket can be purchased in large quantities for $0.67. The company can make the bracket at a variable cost of $0.41 by

buying a machine for $33,000. Demand over the next two years (the anticipated life of the product and machine) is estimated to be normally distributed with mean 100,000 units and a standard deviation of 10,000 units. Would you recommend making or buying this bracket?
Business
1 answer:
Dominik [7]3 years ago
6 0

Answer:

we recommnend to buy this bracket

Explanation:

The computation is shown below:

Given tyhat

Buying cost of the machine = $33,000 = x

x_1 = $0.67

And, x_2 = $0.41

Now the break even point is

X = x ÷ (x_1 - x_2)

= $33,000 ÷ ($0.67 - $0.41)

= 126,923 units

Therefore

Probability  (Demand > Break even point)

= 1 - \phi ($126,923 - 100,000) ÷ 10,000

= 1 - \phi (2.69)

= 0.36%

where

\phi = function of cumulative distribution of N (0,1)

Therefore the probability is that it makes economically the items would be lesser

Thus, we recommnend to buy this bracket

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