question archive FastQ company, a specialist in printing, has established 500 convenience copying centers throughtout the country

FastQ company, a specialist in printing, has established 500 convenience copying centers throughtout the country

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FastQ company, a specialist in printing, has established 500 convenience copying centers throughtout the country. In order to upgrade its services, the company is considering 3 new models of laser copying machines for use in producing high quality copies. The HQ copies would be added to the growing list of products offered in the shops. The selling price to the customer for each laser copy would be the same, no matter which machine is installed. The 3 models of laser machines under consideration are 1024S, small-volume model, 1024m, medium-volume model, and 1024g, lg vol model. The annual rentals costs vary with each machine the machine capacities are 1024s 1024m 1024g Ann. capacity 100,000 350,000 800,000 ann machine rent 8,000 11,000 20,000 direct mat& lbr .02 .02 .02 var. overhd costs .12 .07 .03 Calculate the vol. level where Fast Q would be indifferent to acquiring the small, medium or large laser copier? Present a decision rule to enable FQ to select the most profitable machine w/out having to make a sepate cost calc for each establishment?

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Answer:

1024s: cost = 8000 + (0.02+0.12)*V, V<100000

= 8000 + 0.14V

1024m: cost = 11000 + (0.02+0.07)*V, V<350000

= 11000 + 0.09V

1024l: cost = 20000 + (0.02+0.03)*V, V<800000

= 20000 + 0.05V

For intersection between s and m,

11000 - 8000 = 0.14V - 0.09V

V = 3000/0.05 = 60000

For intersection between s and l,

20000 - 8000 = 0.14V - 0.05V

V = 12000/0.09 = 133333 > 100000 which is out of range for s.

For int bet m and l,

20000 - 11000 = 0.09V - 0.05V

V = 9000/0.04 = 225000

So, indifference volume level would be around 60000 - 133333

So, 0-60000 = 1024s

60000-225000 = 1024m

225000+ = 1024l

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